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Grid/Grid/qcd/utils/BaryonUtils.h

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/utils/BaryonUtils.h
Copyright (C) 2019
Author: Felix Erben <felix.erben@ed.ac.uk>
Author: Raoul Hodgson <raoul.hodgson@ed.ac.uk>
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License along
with this program; if not, write to the Free Software Foundation, Inc.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/
/* END LEGAL */
#pragma once
//#include <Grid/Hadrons/Global.hpp>
#include <Grid/Eigen/unsupported/CXX11/Tensor>
NAMESPACE_BEGIN(Grid);
template <typename FImpl>
class BaryonUtils
{
public:
typedef typename FImpl::ComplexField ComplexField;
typedef typename FImpl::FermionField FermionField;
typedef typename FImpl::PropagatorField PropagatorField;
typedef typename FImpl::SitePropagator pobj;
typedef typename ComplexField::vector_object vobj;
typedef Lattice<iSpinMatrix<typename FImpl::Simd>> SpinMatrixField;
typedef typename SpinMatrixField::vector_object sobj;
static const int epsilon[6][3] ;
static const Real epsilon_sgn[6];
private:
template <class mobj, class robj>
static void BaryonSite(const mobj &D1,
const mobj &D2,
const mobj &D3,
const Gamma GammaA_left,
const Gamma GammaB_left,
const Gamma GammaA_right,
const Gamma GammaB_right,
const int parity,
const bool * wick_contractions,
robj &result);
template <class mobj, class robj>
static void BaryonSiteMatrix(const mobj &D1,
const mobj &D2,
const mobj &D3,
const Gamma GammaA_left,
const Gamma GammaB_left,
const Gamma GammaA_right,
const Gamma GammaB_right,
const bool * wick_contractions,
robj &result);
public:
static void WickContractions(std::string qi,
std::string qf,
bool* wick_contractions);
static void ContractBaryons(const PropagatorField &q1_left,
const PropagatorField &q2_left,
const PropagatorField &q3_left,
const Gamma GammaA_left,
const Gamma GammaB_left,
const Gamma GammaA_right,
const Gamma GammaB_right,
const bool* wick_contractions,
const int parity,
ComplexField &baryon_corr);
static void ContractBaryonsMatrix(const PropagatorField &q1_left,
const PropagatorField &q2_left,
const PropagatorField &q3_left,
const Gamma GammaA_left,
const Gamma GammaB_left,
const Gamma GammaA_right,
const Gamma GammaB_right,
const bool* wick_contractions,
SpinMatrixField &baryon_corr);
template <class mobj, class robj>
static void ContractBaryonsSliced(const mobj &D1,
const mobj &D2,
const mobj &D3,
const Gamma GammaA_left,
const Gamma GammaB_left,
const Gamma GammaA_right,
const Gamma GammaB_right,
const bool* wick_contractions,
const int parity,
const int nt,
robj &result);
template <class mobj, class robj>
static void ContractBaryonsSlicedMatrix(const mobj &D1,
const mobj &D2,
const mobj &D3,
const Gamma GammaA_left,
const Gamma GammaB_left,
const Gamma GammaA_right,
const Gamma GammaB_right,
const bool* wick_contractions,
const int nt,
robj &result);
private:
template <class mobj, class mobj2, class robj>
static void BaryonGamma3ptGroup1Site(
const mobj &Dq1_ti,
const mobj2 &Dq2_spec,
const mobj2 &Dq3_spec,
const mobj &Dq4_tf,
const Gamma GammaJ,
const Gamma GammaBi,
const Gamma GammaBf,
int wick_contraction,
robj &result);
template <class mobj, class mobj2, class robj>
static void BaryonGamma3ptGroup2Site(
const mobj2 &Dq1_spec,
const mobj &Dq2_ti,
const mobj2 &Dq3_spec,
const mobj &Dq4_tf,
const Gamma GammaJ,
const Gamma GammaBi,
const Gamma GammaBf,
int wick_contraction,
robj &result);
template <class mobj, class mobj2, class robj>
static void BaryonGamma3ptGroup3Site(
const mobj2 &Dq1_spec,
const mobj2 &Dq2_spec,
const mobj &Dq3_ti,
const mobj &Dq4_tf,
const Gamma GammaJ,
const Gamma GammaBi,
const Gamma GammaBf,
int wick_contraction,
robj &result);
public:
template <class mobj>
static void BaryonGamma3pt(
const PropagatorField &q_ti,
const mobj &Dq_spec1,
const mobj &Dq_spec2,
const PropagatorField &q_tf,
int group,
int wick_contraction,
const Gamma GammaJ,
const Gamma GammaBi,
const Gamma GammaBf,
SpinMatrixField &stn_corr);
private:
template <class mobj, class mobj2, class robj>
static void SigmaToNucleonQ1EyeSite(const mobj &Dq_loop,
const mobj2 &Du_spec,
const mobj &Dd_tf,
const mobj &Ds_ti,
const Gamma Gamma_H,
const Gamma GammaB_sigma,
const Gamma GammaB_nucl,
robj &result);
template <class mobj, class mobj2, class robj>
static void SigmaToNucleonQ1NonEyeSite(const mobj &Du_ti,
const mobj &Du_tf,
const mobj2 &Du_spec,
const mobj &Dd_tf,
const mobj &Ds_ti,
const Gamma Gamma_H,
const Gamma GammaB_sigma,
const Gamma GammaB_nucl,
robj &result);
template <class mobj, class mobj2, class robj>
static void SigmaToNucleonQ2EyeSite(const mobj &Dq_loop,
const mobj2 &Du_spec,
const mobj &Dd_tf,
const mobj &Ds_ti,
const Gamma Gamma_H,
const Gamma GammaB_sigma,
const Gamma GammaB_nucl,
robj &result);
template <class mobj, class mobj2, class robj>
static void SigmaToNucleonQ2NonEyeSite(const mobj &Du_ti,
const mobj &Du_tf,
const mobj2 &Du_spec,
const mobj &Dd_tf,
const mobj &Ds_ti,
const Gamma Gamma_H,
const Gamma GammaB_sigma,
const Gamma GammaB_nucl,
robj &result);
public:
template <class mobj>
static void SigmaToNucleonEye(const PropagatorField &qq_loop,
const mobj &Du_spec,
const PropagatorField &qd_tf,
const PropagatorField &qs_ti,
const Gamma Gamma_H,
const Gamma GammaB_sigma,
const Gamma GammaB_nucl,
const std::string op,
SpinMatrixField &stn_corr);
template <class mobj>
static void SigmaToNucleonNonEye(const PropagatorField &qq_ti,
const PropagatorField &qq_tf,
const mobj &Du_spec,
const PropagatorField &qd_tf,
const PropagatorField &qs_ti,
const Gamma Gamma_H,
const Gamma GammaB_sigma,
const Gamma GammaB_nucl,
const std::string op,
SpinMatrixField &stn_corr);
};
template <class FImpl>
const int BaryonUtils<FImpl>::epsilon[6][3] = {{0,1,2},{1,2,0},{2,0,1},{0,2,1},{2,1,0},{1,0,2}};
/*template <class FImpl>
const Complex BaryonUtils<FImpl>::epsilon_sgn[6] = {Complex(1),
Complex(1),
Complex(1),
Complex(-1),
Complex(-1),
Complex(-1)};
*/
template <class FImpl>
const Real BaryonUtils<FImpl>::epsilon_sgn[6] = {1.,1.,1.,-1.,-1.,-1.};
//This is the old version
template <class FImpl>
template <class mobj, class robj>
void BaryonUtils<FImpl>::BaryonSite(const mobj &D1,
const mobj &D2,
const mobj &D3,
const Gamma GammaA_i,
const Gamma GammaB_i,
const Gamma GammaA_f,
const Gamma GammaB_f,
const int parity,
const bool * wick_contraction,
robj &result)
{
Gamma g4(Gamma::Algebra::GammaT); //needed for parity P_\pm = 0.5*(1 \pm \gamma_4)
auto D1_GAi = D1 * GammaA_i;
auto D1_GAi_g4 = D1_GAi * g4;
auto D1_GAi_P = 0.5*(D1_GAi + (Real)parity * D1_GAi_g4);
auto GAf_D1_GAi_P = GammaA_f * D1_GAi_P;
auto GBf_D1_GAi_P = GammaB_f * D1_GAi_P;
auto D2_GBi = D2 * GammaB_i;
auto GBf_D2_GBi = GammaB_f * D2_GBi;
auto GAf_D2_GBi = GammaA_f * D2_GBi;
auto GBf_D3 = GammaB_f * D3;
auto GAf_D3 = GammaA_f * D3;
for (int ie_f=0; ie_f < 6 ; ie_f++){
int a_f = epsilon[ie_f][0]; //a
int b_f = epsilon[ie_f][1]; //b
int c_f = epsilon[ie_f][2]; //c
for (int ie_i=0; ie_i < 6 ; ie_i++){
int a_i = epsilon[ie_i][0]; //a'
int b_i = epsilon[ie_i][1]; //b'
int c_i = epsilon[ie_i][2]; //c'
Real ee = epsilon_sgn[ie_f] * epsilon_sgn[ie_i];
//This is the \delta_{456}^{123} part
if (wick_contraction[0]){
for (int rho=0; rho<Ns; rho++){
auto GAf_D1_GAi_P_rr_cc = GAf_D1_GAi_P()(rho,rho)(c_f,c_i);
for (int alpha_f=0; alpha_f<Ns; alpha_f++){
for (int beta_i=0; beta_i<Ns; beta_i++){
result()()() += ee * GAf_D1_GAi_P_rr_cc
* D2_GBi ()(alpha_f,beta_i)(a_f,a_i)
* GBf_D3 ()(alpha_f,beta_i)(b_f,b_i);
}}
}
}
//This is the \delta_{456}^{231} part
if (wick_contraction[1]){
for (int rho=0; rho<Ns; rho++){
for (int alpha_f=0; alpha_f<Ns; alpha_f++){
auto D1_GAi_P_ar_ac = D1_GAi_P()(alpha_f,rho)(a_f,c_i);
for (int beta_i=0; beta_i<Ns; beta_i++){
result()()() += ee * D1_GAi_P_ar_ac
* GBf_D2_GBi ()(alpha_f,beta_i)(b_f,a_i)
* GAf_D3 ()(rho,beta_i)(c_f,b_i);
}
}}
}
//This is the \delta_{456}^{312} part
if (wick_contraction[2]){
for (int rho=0; rho<Ns; rho++){
for (int alpha_f=0; alpha_f<Ns; alpha_f++){
auto GBf_D1_GAi_P_ar_bc = GBf_D1_GAi_P()(alpha_f,rho)(b_f,c_i);
for (int beta_i=0; beta_i<Ns; beta_i++){
result()()() += ee * GBf_D1_GAi_P_ar_bc
* GAf_D2_GBi ()(rho,beta_i)(c_f,a_i)
* D3 ()(alpha_f,beta_i)(a_f,b_i);
}
}}
}
//This is the \delta_{456}^{132} part
if (wick_contraction[3]){
for (int rho=0; rho<Ns; rho++){
auto GAf_D1_GAi_P_rr_cc = GAf_D1_GAi_P()(rho,rho)(c_f,c_i);
for (int alpha_f=0; alpha_f<Ns; alpha_f++){
for (int beta_i=0; beta_i<Ns; beta_i++){
result()()() -= ee * GAf_D1_GAi_P_rr_cc
* GBf_D2_GBi ()(alpha_f,beta_i)(b_f,a_i)
* D3 ()(alpha_f,beta_i)(a_f,b_i);
}
}}
}
//This is the \delta_{456}^{321} part
if (wick_contraction[4]){
for (int rho=0; rho<Ns; rho++){
for (int alpha_f=0; alpha_f<Ns; alpha_f++){
auto GBf_D1_GAi_P_ar_bc = GBf_D1_GAi_P()(alpha_f,rho)(b_f,c_i);
for (int beta_i=0; beta_i<Ns; beta_i++){
result()()() -= ee * GBf_D1_GAi_P_ar_bc
* D2_GBi ()(alpha_f,beta_i)(a_f,a_i)
* GAf_D3 ()(rho,beta_i)(c_f,b_i);
}
}}
}
//This is the \delta_{456}^{213} part
if (wick_contraction[5]){
for (int rho=0; rho<Ns; rho++){
for (int alpha_f=0; alpha_f<Ns; alpha_f++){
auto D1_GAi_P_ar_ac = D1_GAi_P()(alpha_f,rho)(a_f,c_i);
for (int beta_i=0; beta_i<Ns; beta_i++){
result()()() -= ee * D1_GAi_P_ar_ac
* GAf_D2_GBi ()(rho,beta_i)(c_f,a_i)
* GBf_D3 ()(alpha_f,beta_i)(b_f,b_i);
}
}}
}
}}
}
//New version without parity projection or trace
template <class FImpl>
template <class mobj, class robj>
void BaryonUtils<FImpl>::BaryonSiteMatrix(const mobj &D1,
const mobj &D2,
const mobj &D3,
const Gamma GammaA_i,
const Gamma GammaB_i,
const Gamma GammaA_f,
const Gamma GammaB_f,
const bool * wick_contraction,
robj &result)
{
auto D1_GAi = D1 * GammaA_i;
auto GAf_D1_GAi = GammaA_f * D1_GAi;
auto GBf_D1_GAi = GammaB_f * D1_GAi;
auto D2_GBi = D2 * GammaB_i;
auto GBf_D2_GBi = GammaB_f * D2_GBi;
auto GAf_D2_GBi = GammaA_f * D2_GBi;
auto GBf_D3 = GammaB_f * D3;
auto GAf_D3 = GammaA_f * D3;
for (int ie_f=0; ie_f < 6 ; ie_f++){
int a_f = epsilon[ie_f][0]; //a
int b_f = epsilon[ie_f][1]; //b
int c_f = epsilon[ie_f][2]; //c
for (int ie_i=0; ie_i < 6 ; ie_i++){
int a_i = epsilon[ie_i][0]; //a'
int b_i = epsilon[ie_i][1]; //b'
int c_i = epsilon[ie_i][2]; //c'
Real ee = epsilon_sgn[ie_f] * epsilon_sgn[ie_i];
//This is the \delta_{456}^{123} part
if (wick_contraction[0]){
for (int rho_i=0; rho_i<Ns; rho_i++){
for (int rho_f=0; rho_f<Ns; rho_f++){
auto GAf_D1_GAi_rr_cc = GAf_D1_GAi()(rho_f,rho_i)(c_f,c_i);
for (int alpha_f=0; alpha_f<Ns; alpha_f++){
for (int beta_i=0; beta_i<Ns; beta_i++){
result()(rho_f,rho_i)() += ee * GAf_D1_GAi_rr_cc
* D2_GBi ()(alpha_f,beta_i)(a_f,a_i)
* GBf_D3 ()(alpha_f,beta_i)(b_f,b_i);
}}
}}
}
//This is the \delta_{456}^{231} part
if (wick_contraction[1]){
for (int rho_i=0; rho_i<Ns; rho_i++){
for (int alpha_f=0; alpha_f<Ns; alpha_f++){
auto D1_GAi_ar_ac = D1_GAi()(alpha_f,rho_i)(a_f,c_i);
for (int beta_i=0; beta_i<Ns; beta_i++){
auto GBf_D2_GBi_ab_ba = GBf_D2_GBi ()(alpha_f,beta_i)(b_f,a_i);
for (int rho_f=0; rho_f<Ns; rho_f++){
result()(rho_f,rho_i)() += ee * D1_GAi_ar_ac
* GBf_D2_GBi_ab_ba
* GAf_D3 ()(rho_f,beta_i)(c_f,b_i);
}}
}}
}
//This is the \delta_{456}^{312} part
if (wick_contraction[2]){
for (int rho_i=0; rho_i<Ns; rho_i++){
for (int alpha_f=0; alpha_f<Ns; alpha_f++){
auto GBf_D1_GAi_ar_bc = GBf_D1_GAi()(alpha_f,rho_i)(b_f,c_i);
for (int beta_i=0; beta_i<Ns; beta_i++){
auto D3_ab_ab = D3 ()(alpha_f,beta_i)(a_f,b_i);
for (int rho_f=0; rho_f<Ns; rho_f++){
result()(rho_f,rho_i)() += ee * GBf_D1_GAi_ar_bc
* GAf_D2_GBi ()(rho_f,beta_i)(c_f,a_i)
* D3_ab_ab;
}}
}}
}
//This is the \delta_{456}^{132} part
if (wick_contraction[3]){
for (int rho_i=0; rho_i<Ns; rho_i++){
for (int rho_f=0; rho_f<Ns; rho_f++){
auto GAf_D1_GAi_rr_cc = GAf_D1_GAi()(rho_f,rho_i)(c_f,c_i);
for (int alpha_f=0; alpha_f<Ns; alpha_f++){
for (int beta_i=0; beta_i<Ns; beta_i++){
result()(rho_f,rho_i)() -= ee * GAf_D1_GAi_rr_cc
* GBf_D2_GBi ()(alpha_f,beta_i)(b_f,a_i)
* D3 ()(alpha_f,beta_i)(a_f,b_i);
}}
}}
}
//This is the \delta_{456}^{321} part
if (wick_contraction[4]){
for (int rho_i=0; rho_i<Ns; rho_i++){
for (int alpha_f=0; alpha_f<Ns; alpha_f++){
auto GBf_D1_GAi_ar_bc = GBf_D1_GAi()(alpha_f,rho_i)(b_f,c_i);
for (int beta_i=0; beta_i<Ns; beta_i++){
auto D2_GBi_ab_aa = D2_GBi()(alpha_f,beta_i)(a_f,a_i);
for (int rho_f=0; rho_f<Ns; rho_f++){
result()(rho_f,rho_i)() -= ee * GBf_D1_GAi_ar_bc
* D2_GBi_ab_aa
* GAf_D3 ()(rho_f,beta_i)(c_f,b_i);
}}
}}
}
//This is the \delta_{456}^{213} part
if (wick_contraction[5]){
for (int rho_i=0; rho_i<Ns; rho_i++){
for (int alpha_f=0; alpha_f<Ns; alpha_f++){
auto D1_GAi_ar_ac = D1_GAi()(alpha_f,rho_i)(a_f,c_i);
for (int beta_i=0; beta_i<Ns; beta_i++){
auto GBf_D3_ab_bb = GBf_D3()(alpha_f,beta_i)(b_f,b_i);
for (int rho_f=0; rho_f<Ns; rho_f++){
result()(rho_f,rho_i)() -= ee * D1_GAi_ar_ac
* GAf_D2_GBi ()(rho_f,beta_i)(c_f,a_i)
* GBf_D3_ab_bb;
}}
}}
}
}}
}
/* Computes which wick contractions should be performed for a *
* baryon 2pt function given the initial and finals state quark *
* flavours. *
* The array wick_contractions must be of length 6 */
template<class FImpl>
void BaryonUtils<FImpl>::WickContractions(std::string qi, std::string qf, bool* wick_contractions) {
const int epsilon[6][3] = {{0,1,2},{1,2,0},{2,0,1},{0,2,1},{2,1,0},{1,0,2}};
for (int ie=0; ie < 6 ; ie++) {
wick_contractions[ie] = (qi.size() == 3 && qf.size() == 3
&& qi[0] == qf[epsilon[ie][0]]
&& qi[1] == qf[epsilon[ie][1]]
&& qi[2] == qf[epsilon[ie][2]]);
}
}
/* The array wick_contractions must be of length 6. The order *
* corresponds to the to that shown in the Hadrons documentation *
* at https://aportelli.github.io/Hadrons-doc/#/mcontraction *
* This can be computed from the quark flavours using the *
* Wick_Contractions function above */
template<class FImpl>
void BaryonUtils<FImpl>::ContractBaryons(const PropagatorField &q1_left,
const PropagatorField &q2_left,
const PropagatorField &q3_left,
const Gamma GammaA_left,
const Gamma GammaB_left,
const Gamma GammaA_right,
const Gamma GammaB_right,
const bool* wick_contractions,
const int parity,
ComplexField &baryon_corr)
{
assert(Ns==4 && "Baryon code only implemented for N_spin = 4");
assert(Nc==3 && "Baryon code only implemented for N_colour = 3");
assert(parity==1 || parity == -1 && "Parity must be +1 or -1");
GridBase *grid = q1_left.Grid();
autoView(vbaryon_corr, baryon_corr,CpuWrite);
autoView( v1 , q1_left, CpuRead);
autoView( v2 , q2_left, CpuRead);
autoView( v3 , q3_left, CpuRead);
Real bytes =0.;
bytes += grid->oSites() * (432.*sizeof(vComplex) + 126.*sizeof(int) + 36.*sizeof(Real));
for (int ie=0; ie < 6 ; ie++){
if(ie==0 or ie==3){
bytes += grid->oSites() * (4.*sizeof(int) + 4752.*sizeof(vComplex)) * wick_contractions[ie];
}
else{
bytes += grid->oSites() * (64.*sizeof(int) + 5184.*sizeof(vComplex)) * wick_contractions[ie];
}
}
Real t=0.;
t =-usecond();
accelerator_for(ss, grid->oSites(), grid->Nsimd(), {
auto D1 = v1[ss];
auto D2 = v2[ss];
auto D3 = v3[ss];
vobj result=Zero();
BaryonSite(D1,D2,D3,GammaA_left,GammaB_left,GammaA_right,GammaB_right,parity,wick_contractions,result);
vbaryon_corr[ss] = result;
} );//end loop over lattice sites
t += usecond();
std::cout << GridLogDebug << std::setw(10) << bytes/t*1.0e6/1024/1024/1024 << " GB/s " << std::endl;
}
template<class FImpl>
void BaryonUtils<FImpl>::ContractBaryonsMatrix(const PropagatorField &q1_left,
const PropagatorField &q2_left,
const PropagatorField &q3_left,
const Gamma GammaA_left,
const Gamma GammaB_left,
const Gamma GammaA_right,
const Gamma GammaB_right,
const bool* wick_contractions,
SpinMatrixField &baryon_corr)
{
assert(Ns==4 && "Baryon code only implemented for N_spin = 4");
assert(Nc==3 && "Baryon code only implemented for N_colour = 3");
GridBase *grid = q1_left.Grid();
autoView(vbaryon_corr, baryon_corr,CpuWrite);
autoView( v1 , q1_left, CpuRead);
autoView( v2 , q2_left, CpuRead);
autoView( v3 , q3_left, CpuRead);
// Real bytes =0.;
// bytes += grid->oSites() * (432.*sizeof(vComplex) + 126.*sizeof(int) + 36.*sizeof(Real));
// for (int ie=0; ie < 6 ; ie++){
// if(ie==0 or ie==3){
// bytes += grid->oSites() * (4.*sizeof(int) + 4752.*sizeof(vComplex)) * wick_contractions[ie];
// }
// else{
// bytes += grid->oSites() * (64.*sizeof(int) + 5184.*sizeof(vComplex)) * wick_contractions[ie];
// }
// }
// Real t=0.;
// t =-usecond();
accelerator_for(ss, grid->oSites(), grid->Nsimd(), {
auto D1 = v1[ss];
auto D2 = v2[ss];
auto D3 = v3[ss];
sobj result=Zero();
BaryonSiteMatrix(D1,D2,D3,GammaA_left,GammaB_left,GammaA_right,GammaB_right,wick_contractions,result);
vbaryon_corr[ss] = result;
} );//end loop over lattice sites
// t += usecond();
// std::cout << GridLogDebug << std::setw(10) << bytes/t*1.0e6/1024/1024/1024 << " GB/s " << std::endl;
}
/* The array wick_contractions must be of length 6. The order *
* corresponds to the to that shown in the Hadrons documentation *
* at https://aportelli.github.io/Hadrons-doc/#/mcontraction *
* This can also be computed from the quark flavours using the *
* Wick_Contractions function above */
template <class FImpl>
template <class mobj, class robj>
void BaryonUtils<FImpl>::ContractBaryonsSliced(const mobj &D1,
const mobj &D2,
const mobj &D3,
const Gamma GammaA_left,
const Gamma GammaB_left,
const Gamma GammaA_right,
const Gamma GammaB_right,
const bool* wick_contractions,
const int parity,
const int nt,
robj &result)
{
assert(Ns==4 && "Baryon code only implemented for N_spin = 4");
assert(Nc==3 && "Baryon code only implemented for N_colour = 3");
assert(parity==1 || parity == -1 && "Parity must be +1 or -1");
for (int t=0; t<nt; t++) {
BaryonSite(D1[t],D2[t],D3[t],GammaA_left,GammaB_left,GammaA_right,GammaB_right,parity,wick_contractions,result[t]);
}
}
template <class FImpl>
template <class mobj, class robj>
void BaryonUtils<FImpl>::ContractBaryonsSlicedMatrix(const mobj &D1,
const mobj &D2,
const mobj &D3,
const Gamma GammaA_left,
const Gamma GammaB_left,
const Gamma GammaA_right,
const Gamma GammaB_right,
const bool* wick_contractions,
const int nt,
robj &result)
{
assert(Ns==4 && "Baryon code only implemented for N_spin = 4");
assert(Nc==3 && "Baryon code only implemented for N_colour = 3");
for (int t=0; t<nt; t++) {
BaryonSiteMatrix(D1[t],D2[t],D3[t],GammaA_left,GammaB_left,GammaA_right,GammaB_right,wick_contractions,result[t]);
}
}
/***********************************************************************
* End of Baryon 2pt-function code. *
* *
* The following code is for baryonGamma3pt function *
**********************************************************************/
/* Dq1_ti is a quark line from t_i to t_J
* Dq2_spec is a quark line from t_i to t_f
* Dq3_spec is a quark line from t_i to t_f
* Dq4_tf is a quark line from t_f to t_J */
template<class FImpl>
template <class mobj, class mobj2, class robj>
void BaryonUtils<FImpl>::BaryonGamma3ptGroup1Site(
const mobj &Dq1_ti,
const mobj2 &Dq2_spec,
const mobj2 &Dq3_spec,
const mobj &Dq4_tf,
const Gamma GammaJ,
const Gamma GammaBi,
const Gamma GammaBf,
int wick_contraction,
robj &result)
{
Gamma g5(Gamma::Algebra::Gamma5);
auto adjD4_g_D1 = g5 * adj(Dq4_tf) * g5 * GammaJ * Dq1_ti;
auto Gf_adjD4_g_D1 = GammaBf * adjD4_g_D1;
auto D2_Gi = Dq2_spec * GammaBi;
auto Gf_D2_Gi = GammaBf * D2_Gi;
auto Gf_D3 = GammaBf * Dq3_spec;
int a_f, b_f, c_f;
int a_i, b_i, c_i;
Real ee;
for (int ie_f=0; ie_f < 6 ; ie_f++){
a_f = epsilon[ie_f][0]; //a
b_f = epsilon[ie_f][1]; //b
c_f = epsilon[ie_f][2]; //c
for (int ie_i=0; ie_i < 6 ; ie_i++){
a_i = epsilon[ie_i][0]; //a'
b_i = epsilon[ie_i][1]; //b'
c_i = epsilon[ie_i][2]; //c'
ee = epsilon_sgn[ie_f] * epsilon_sgn[ie_i];
for (int alpha_f=0; alpha_f<Ns; alpha_f++){
for (int beta_i=0; beta_i<Ns; beta_i++){
auto D2_Gi_ab_aa = D2_Gi ()(alpha_f,beta_i)(a_f,a_i);
auto Gf_D3_ab_bb = Gf_D3 ()(alpha_f,beta_i)(b_f,b_i);
auto Gf_D2_Gi_ab_ba = Gf_D2_Gi ()(alpha_f,beta_i)(b_f,a_i);
auto Dq3_spec_ab_ab = Dq3_spec ()(alpha_f,beta_i)(a_f,b_i);
for (int gamma_i=0; gamma_i<Ns; gamma_i++){
auto ee_adjD4_g_D1_ag_ac = ee * adjD4_g_D1 ()(alpha_f,gamma_i)(a_f,c_i);
auto ee_Gf_adjD4_g_D1_ag_bc = ee * Gf_adjD4_g_D1()(alpha_f,gamma_i)(b_f,c_i);
for (int gamma_f=0; gamma_f<Ns; gamma_f++){
auto ee_adjD4_g_D1_gg_cc = ee * adjD4_g_D1 ()(gamma_f,gamma_i)(c_f,c_i);
auto Dq3_spec_gb_cb = Dq3_spec ()(gamma_f,beta_i)(c_f,b_i);
auto D2_Gi_gb_ca = D2_Gi ()(gamma_f,beta_i)(c_f,a_i);
if(wick_contraction == 1) { // Do contraction I1
result()(gamma_f,gamma_i)() -= ee_adjD4_g_D1_gg_cc
* D2_Gi_ab_aa
* Gf_D3_ab_bb;
}
if(wick_contraction == 2) { // Do contraction I2
result()(gamma_f,gamma_i)() -= ee_adjD4_g_D1_ag_ac
* Gf_D2_Gi_ab_ba
* Dq3_spec_gb_cb;
}
if(wick_contraction == 3) { // Do contraction I3
result()(gamma_f,gamma_i)() -= ee_Gf_adjD4_g_D1_ag_bc
* D2_Gi_gb_ca
* Dq3_spec_ab_ab;
}
if(wick_contraction == 4) { // Do contraction I4
result()(gamma_f,gamma_i)() += ee_adjD4_g_D1_gg_cc
* Gf_D2_Gi_ab_ba
* Dq3_spec_ab_ab;
}
if(wick_contraction == 5) { // Do contraction I5
result()(gamma_f,gamma_i)() += ee_Gf_adjD4_g_D1_ag_bc
* D2_Gi_ab_aa
* Dq3_spec_gb_cb;
}
if(wick_contraction == 6) { // Do contraction I6
result()(gamma_f,gamma_i)() += ee_adjD4_g_D1_ag_ac
* D2_Gi_gb_ca
* Gf_D3_ab_bb;
}
}}
}}
}}
}
/* Dq1_spec is a quark line from t_i to t_f
* Dq2_ti is a quark line from t_i to t_J
* Dq3_spec is a quark line from t_i to t_f
* Dq4_tf is a quark line from t_f to t_J */
template<class FImpl>
template <class mobj, class mobj2, class robj>
void BaryonUtils<FImpl>::BaryonGamma3ptGroup2Site(
const mobj2 &Dq1_spec,
const mobj &Dq2_ti,
const mobj2 &Dq3_spec,
const mobj &Dq4_tf,
const Gamma GammaJ,
const Gamma GammaBi,
const Gamma GammaBf,
int wick_contraction,
robj &result)
{
Gamma g5(Gamma::Algebra::Gamma5);
auto adjD4_g_D2_Gi = g5 * adj(Dq4_tf) * g5 * GammaJ * Dq2_ti * GammaBi;
auto Gf_adjD4_g_D2_Gi = GammaBf * adjD4_g_D2_Gi;
auto Gf_D1 = GammaBf * Dq1_spec;
auto Gf_D3 = GammaBf * Dq3_spec;
int a_f, b_f, c_f;
int a_i, b_i, c_i;
Real ee;
for (int ie_f=0; ie_f < 6 ; ie_f++){
a_f = epsilon[ie_f][0]; //a
b_f = epsilon[ie_f][1]; //b
c_f = epsilon[ie_f][2]; //c
for (int ie_i=0; ie_i < 6 ; ie_i++){
a_i = epsilon[ie_i][0]; //a'
b_i = epsilon[ie_i][1]; //b'
c_i = epsilon[ie_i][2]; //c'
ee = epsilon_sgn[ie_f] * epsilon_sgn[ie_i];
for (int alpha_f=0; alpha_f<Ns; alpha_f++){
for (int beta_i=0; beta_i<Ns; beta_i++){
auto adjD4_g_D2_Gi_ab_aa = adjD4_g_D2_Gi ()(alpha_f,beta_i)(a_f,a_i);
auto Gf_D3_ab_bb = Gf_D3 ()(alpha_f,beta_i)(b_f,b_i);
auto Gf_adjD4_g_D2_Gi_ab_ba = Gf_adjD4_g_D2_Gi ()(alpha_f,beta_i)(b_f,a_i);
auto Dq3_spec_ab_ab = Dq3_spec ()(alpha_f,beta_i)(a_f,b_i);
for (int gamma_i=0; gamma_i<Ns; gamma_i++){
auto ee_Dq1_spec_ag_ac = ee * Dq1_spec ()(alpha_f,gamma_i)(a_f,c_i);
auto ee_Gf_D1_ag_bc = ee * Gf_D1 ()(alpha_f,gamma_i)(b_f,c_i);
for (int gamma_f=0; gamma_f<Ns; gamma_f++){
auto ee_Dq1_spec_gg_cc = ee * Dq1_spec ()(gamma_f,gamma_i)(c_f,c_i);
auto Dq3_spec_gb_cb = Dq3_spec ()(gamma_f,beta_i)(c_f,b_i);
auto adjD4_g_D2_Gi_gb_ca = adjD4_g_D2_Gi ()(gamma_f,beta_i)(c_f,a_i);
if(wick_contraction == 1) { // Do contraction II1
result()(gamma_f,gamma_i)() -= ee_Dq1_spec_gg_cc
* adjD4_g_D2_Gi_ab_aa
* Gf_D3_ab_bb;
}
if(wick_contraction == 2) { // Do contraction II2
result()(gamma_f,gamma_i)() -= ee_Dq1_spec_ag_ac
* Gf_adjD4_g_D2_Gi_ab_ba
* Dq3_spec_gb_cb;
}
if(wick_contraction == 3) { // Do contraction II3
result()(gamma_f,gamma_i)() -= ee_Gf_D1_ag_bc
* adjD4_g_D2_Gi_gb_ca
* Dq3_spec_ab_ab;
}
if(wick_contraction == 4) { // Do contraction II4
result()(gamma_f,gamma_i)() += ee_Dq1_spec_gg_cc
* Gf_adjD4_g_D2_Gi_ab_ba
* Dq3_spec_ab_ab;
}
if(wick_contraction == 5) { // Do contraction II5
result()(gamma_f,gamma_i)() += ee_Gf_D1_ag_bc
* adjD4_g_D2_Gi_ab_aa
* Dq3_spec_gb_cb;
}
if(wick_contraction == 6) { // Do contraction II6
result()(gamma_f,gamma_i)() += ee_Dq1_spec_ag_ac
* adjD4_g_D2_Gi_gb_ca
* Gf_D3_ab_bb;
}
}}
}}
}}
}
/* Dq1_spec is a quark line from t_i to t_f
* Dq2_spec is a quark line from t_i to t_f
* Dq3_ti is a quark line from t_i to t_J
* Dq4_tf is a quark line from t_f to t_J */
template<class FImpl>
template <class mobj, class mobj2, class robj>
void BaryonUtils<FImpl>::BaryonGamma3ptGroup3Site(
const mobj2 &Dq1_spec,
const mobj2 &Dq2_spec,
const mobj &Dq3_ti,
const mobj &Dq4_tf,
const Gamma GammaJ,
const Gamma GammaBi,
const Gamma GammaBf,
int wick_contraction,
robj &result)
{
Gamma g5(Gamma::Algebra::Gamma5);
auto adjD4_g_D3 = g5 * adj(Dq4_tf) * g5 * GammaJ * Dq3_ti;
auto Gf_adjD4_g_D3 = GammaBf * adjD4_g_D3;
auto Gf_D1 = GammaBf * Dq1_spec;
auto D2_Gi = Dq2_spec * GammaBi;
auto Gf_D2_Gi = GammaBf * D2_Gi;
int a_f, b_f, c_f;
int a_i, b_i, c_i;
Real ee;
for (int ie_f=0; ie_f < 6 ; ie_f++){
a_f = epsilon[ie_f][0]; //a
b_f = epsilon[ie_f][1]; //b
c_f = epsilon[ie_f][2]; //c
for (int ie_i=0; ie_i < 6 ; ie_i++){
a_i = epsilon[ie_i][0]; //a'
b_i = epsilon[ie_i][1]; //b'
c_i = epsilon[ie_i][2]; //c'
ee = epsilon_sgn[ie_f] * epsilon_sgn[ie_i];
for (int alpha_f=0; alpha_f<Ns; alpha_f++){
for (int beta_i=0; beta_i<Ns; beta_i++){
auto D2_Gi_ab_aa = D2_Gi ()(alpha_f,beta_i)(a_f,a_i);
auto Gf_adjD4_g_D3_ab_bb = Gf_adjD4_g_D3 ()(alpha_f,beta_i)(b_f,b_i);
auto Gf_D2_Gi_ab_ba = Gf_D2_Gi ()(alpha_f,beta_i)(b_f,a_i);
auto adjD4_g_D3_ab_ab = adjD4_g_D3 ()(alpha_f,beta_i)(a_f,b_i);
for (int gamma_i=0; gamma_i<Ns; gamma_i++) {
auto ee_Dq1_spec_ag_ac = ee * Dq1_spec ()(alpha_f,gamma_i)(a_f,c_i);
auto ee_Gf_D1_ag_bc = ee * Gf_D1 ()(alpha_f,gamma_i)(b_f,c_i);
for (int gamma_f=0; gamma_f<Ns; gamma_f++) {
auto ee_Dq1_spec_gg_cc = ee * Dq1_spec ()(gamma_f,gamma_i)(c_f,c_i);
auto adjD4_g_D3_gb_cb = adjD4_g_D3 ()(gamma_f,beta_i)(c_f,b_i);
auto D2_Gi_gb_ca = D2_Gi ()(gamma_f,beta_i)(c_f,a_i);
if(wick_contraction == 1) { // Do contraction III1
result()(gamma_f,gamma_i)() -= ee_Dq1_spec_gg_cc
* D2_Gi_ab_aa
* Gf_adjD4_g_D3_ab_bb;
}
if(wick_contraction == 2) { // Do contraction III2
result()(gamma_f,gamma_i)() -= ee_Dq1_spec_ag_ac
* Gf_D2_Gi_ab_ba
* adjD4_g_D3_gb_cb;
}
if(wick_contraction == 3) { // Do contraction III3
result()(gamma_f,gamma_i)() -= ee_Gf_D1_ag_bc
* D2_Gi_gb_ca
* adjD4_g_D3_ab_ab;
}
if(wick_contraction == 4) { // Do contraction III4
result()(gamma_f,gamma_i)() += ee_Dq1_spec_gg_cc
* Gf_D2_Gi_ab_ba
* adjD4_g_D3_ab_ab;
}
if(wick_contraction == 5) { // Do contraction III5
result()(gamma_f,gamma_i)() += ee_Gf_D1_ag_bc
* D2_Gi_ab_aa
* adjD4_g_D3_gb_cb;
}
if(wick_contraction == 6) { // Do contraction III6
result()(gamma_f,gamma_i)() += ee_Dq1_spec_ag_ac
* D2_Gi_gb_ca
* Gf_adjD4_g_D3_ab_bb;
}
}}
}}
}}
}
/* The group indicates which inital state quarks the current is *
* connected to. It must be in the range 1-3. *
* The wick_contraction must be in the range 1-6 correspond to *
* the contractions given in the Hadrons documentation at *
* https://aportelli.github.io/Hadrons-doc/#/mcontraction */
template<class FImpl>
template <class mobj>
void BaryonUtils<FImpl>::BaryonGamma3pt(
const PropagatorField &q_ti,
const mobj &Dq_spec1,
const mobj &Dq_spec2,
const PropagatorField &q_tf,
int group,
int wick_contraction,
const Gamma GammaJ,
const Gamma GammaBi,
const Gamma GammaBf,
SpinMatrixField &stn_corr)
{
GridBase *grid = q_tf.Grid();
autoView( vcorr, stn_corr, CpuWrite);
autoView( vq_ti , q_ti, CpuRead);
autoView( vq_tf , q_tf, CpuRead);
if (group == 1) {
accelerator_for(ss, grid->oSites(), grid->Nsimd(), {
auto Dq_ti = vq_ti[ss];
auto Dq_tf = vq_tf[ss];
sobj result=Zero();
BaryonGamma3ptGroup1Site(Dq_ti,Dq_spec1,Dq_spec2,Dq_tf,GammaJ,GammaBi,GammaBf,wick_contraction,result);
vcorr[ss] += result;
});//end loop over lattice sites
} else if (group == 2) {
accelerator_for(ss, grid->oSites(), grid->Nsimd(), {
auto Dq_ti = vq_ti[ss];
auto Dq_tf = vq_tf[ss];
sobj result=Zero();
BaryonGamma3ptGroup2Site(Dq_spec1,Dq_ti,Dq_spec2,Dq_tf,GammaJ,GammaBi,GammaBf,wick_contraction,result);
vcorr[ss] += result;
});//end loop over lattice sites
} else if (group == 3) {
accelerator_for(ss, grid->oSites(), grid->Nsimd(), {
auto Dq_ti = vq_ti[ss];
auto Dq_tf = vq_tf[ss];
sobj result=Zero();
BaryonGamma3ptGroup3Site(Dq_spec1,Dq_spec2,Dq_ti,Dq_tf,GammaJ,GammaBi,GammaBf,wick_contraction,result);
vcorr[ss] += result;
});//end loop over lattice sites
}
}
/***********************************************************************
* End of BaryonGamma3pt-function code. *
* *
* The following code is for Sigma -> N rare hypeon decays *
**********************************************************************/
/* Dq_loop is a quark line from t_H to t_H
* Du_spec is a quark line from t_i to t_f
* Dd_tf is a quark line from t_f to t_H
* Ds_ti is a quark line from t_i to t_H */
template <class FImpl>
template <class mobj, class mobj2, class robj>
void BaryonUtils<FImpl>::SigmaToNucleonQ1EyeSite(const mobj &Dq_loop,
const mobj2 &Du_spec,
const mobj &Dd_tf,
const mobj &Ds_ti,
const Gamma Gamma_H,
const Gamma GammaB_sigma,
const Gamma GammaB_nucl,
robj &result)
{
Gamma g5(Gamma::Algebra::Gamma5);
auto DuG = Du_spec * GammaB_nucl;
// Gamma^B * Ds * \gamma_\mu^L * (\gamma_5 * Dd^\dagger * \gamma_5)
auto GDsGDd = GammaB_sigma * Ds_ti * Gamma_H * g5 * adj(Dd_tf) * g5;
// Dq_loop * \gamma_\mu^L
auto DqG = Dq_loop * Gamma_H;
for (int ie_n=0; ie_n < 6 ; ie_n++){
int a_n = epsilon[ie_n][0]; //a
int b_n = epsilon[ie_n][1]; //b
int c_n = epsilon[ie_n][2]; //c
for (int ie_s=0; ie_s < 6 ; ie_s++){
int a_s = epsilon[ie_s][0]; //a'
int b_s = epsilon[ie_s][1]; //b'
int c_s = epsilon[ie_s][2]; //c'
for (int alpha_s=0; alpha_s<Ns; alpha_s++){
for (int beta_n=0; beta_n<Ns; beta_n++){
auto GDsGDd_ab_bb = GDsGDd()(alpha_s,beta_n)(b_s,b_n);
for (int tau2=0; tau2<Ns; tau2++){
for (int j=0; j<Nc; j++){
auto DqG_tt_jj = DqG()(tau2,tau2)(j,j);
auto ee_GDGDDG = epsilon_sgn[ie_n] * epsilon_sgn[ie_s] * GDsGDd_ab_bb * DqG_tt_jj;
for (int gamma_s=0; gamma_s<Ns; gamma_s++){
for (int gamma_n=0; gamma_n<Ns; gamma_n++){
result()(gamma_s,gamma_n)() += ee_GDGDDG * DuG()(alpha_s, beta_n)(a_s,a_n) * Du_spec()(gamma_s,gamma_n)(c_s,c_n);
result()(gamma_s,gamma_n)() -= ee_GDGDDG * DuG()(gamma_s, beta_n)(c_s,a_n) * Du_spec()(alpha_s,gamma_n)(a_s,c_n);
}}
}}
}}
}
}
}
/* Du_ti is a quark line from t_i to t_H
* Du_tf is a quark line from t_f to t_H
* Du_spec is a quark line from t_i to t_f
* Dd_tf is a quark line from t_f to t_H
* Ds_ti is a quark line from t_i to t_H */
template <class FImpl>
template <class mobj, class mobj2, class robj>
void BaryonUtils<FImpl>::SigmaToNucleonQ1NonEyeSite(const mobj &Du_ti,
const mobj &Du_tf,
const mobj2 &Du_spec,
const mobj &Dd_tf,
const mobj &Ds_ti,
const Gamma Gamma_H,
const Gamma GammaB_sigma,
const Gamma GammaB_nucl,
robj &result)
{
Gamma g5(Gamma::Algebra::Gamma5);
auto DuG = Du_spec * GammaB_nucl;
auto adjDu = g5 * adj(Du_tf) * g5;
auto adjDuG = adjDu * GammaB_nucl;
// Gamma^B * Ds * \gamma_\mu^L * (\gamma_5 * Dd^\dagger * \gamma_5)
auto GDsGDd = GammaB_sigma * Ds_ti * Gamma_H * g5 * adj(Dd_tf) * g5;
// Dq_loop * \gamma_\mu^L
auto DuGH = Du_ti * Gamma_H;
for (int ie_n=0; ie_n < 6 ; ie_n++){
int a_n = epsilon[ie_n][0]; //a
int b_n = epsilon[ie_n][1]; //b
int c_n = epsilon[ie_n][2]; //c
for (int ie_s=0; ie_s < 6 ; ie_s++){
int a_s = epsilon[ie_s][0]; //a'
int b_s = epsilon[ie_s][1]; //b'
int c_s = epsilon[ie_s][2]; //c'
for (int alpha_s=0; alpha_s<Ns; alpha_s++){
for (int beta_n=0; beta_n<Ns; beta_n++){
auto GDsGDd_ab_bb = GDsGDd()(alpha_s,beta_n)(b_s,b_n);
for (int tau2=0; tau2<Ns; tau2++){
for (int j=0; j<Nc; j++){
auto DuGH_at_aj = DuGH()(alpha_s,tau2)(a_s,j);
auto ee_GDGDDG_a = epsilon_sgn[ie_n] * epsilon_sgn[ie_s] * GDsGDd_ab_bb * DuGH_at_aj;
for (int gamma_s=0; gamma_s<Ns; gamma_s++){
auto DuGH_gt_cj = DuGH()(gamma_s,tau2)(c_s,j);
auto ee_GDGDDG_c = epsilon_sgn[ie_n] * epsilon_sgn[ie_s] * GDsGDd_ab_bb * DuGH_gt_cj;
for (int gamma_n=0; gamma_n<Ns; gamma_n++){
result()(gamma_s,gamma_n)() += ee_GDGDDG_a * DuG()(gamma_s, beta_n)(c_s,a_n) * adjDu()(tau2,gamma_n)(j,c_n);
result()(gamma_s,gamma_n)() += ee_GDGDDG_c * adjDuG()(tau2, beta_n)(j,a_n) * Du_spec()(alpha_s,gamma_n)(a_s,c_n);
result()(gamma_s,gamma_n)() -= ee_GDGDDG_a * adjDuG()(tau2, beta_n)(j,a_n) * Du_spec()(gamma_s,gamma_n)(c_s,c_n);
result()(gamma_s,gamma_n)() -= ee_GDGDDG_c * DuG()(alpha_s, beta_n)(a_s,a_n) * adjDu()(tau2,gamma_n)(j,c_n);
}
}
}}
}}
}
}
}
//Equivalent to "One-trace"
/* Dq_loop is a quark line from t_H to t_H
* Du_spec is a quark line from t_i to t_f
* Dd_tf is a quark line from t_f to t_H
* Ds_ti is a quark line from t_i to t_H */
template <class FImpl>
template <class mobj, class mobj2, class robj>
void BaryonUtils<FImpl>::SigmaToNucleonQ2EyeSite(const mobj &Dq_loop,
const mobj2 &Du_spec,
const mobj &Dd_tf,
const mobj &Ds_ti,
const Gamma Gamma_H,
const Gamma GammaB_sigma,
const Gamma GammaB_nucl,
robj &result)
{
Gamma g5(Gamma::Algebra::Gamma5);
auto DuG = Du_spec * GammaB_nucl;
// Gamma^B * Ds * \gamma_\mu^L
auto GDsG = GammaB_sigma * Ds_ti * Gamma_H;
// Dq_loop * \gamma_\mu^L * (\gamma_5 * Dd^\dagger * \gamma_5)
auto DqGDd = Dq_loop * Gamma_H * g5 * adj(Dd_tf) * g5;
for (int ie_n=0; ie_n < 6 ; ie_n++){
int a_n = epsilon[ie_n][0]; //a
int b_n = epsilon[ie_n][1]; //b
int c_n = epsilon[ie_n][2]; //c
for (int ie_s=0; ie_s < 6 ; ie_s++){
int a_s = epsilon[ie_s][0]; //a'
int b_s = epsilon[ie_s][1]; //b'
int c_s = epsilon[ie_s][2]; //c'
for (int alpha_s=0; alpha_s<Ns; alpha_s++){
for (int tau=0; tau<Ns; tau++){
for (int i=0; i<Nc; i++){
auto GDsG_at_bi = GDsG()(alpha_s,tau)(b_s,i);
for (int beta_n=0; beta_n<Ns; beta_n++){
auto DqGDd_tb_ib = DqGDd()(tau,beta_n)(i,b_n);
auto ee_GDGDGD = epsilon_sgn[ie_n] * epsilon_sgn[ie_s] * GDsG_at_bi * DqGDd_tb_ib;
for (int gamma_s=0; gamma_s<Ns; gamma_s++){
for (int gamma_n=0; gamma_n<Ns; gamma_n++){
result()(gamma_s,gamma_n)() -= ee_GDGDGD * DuG()(alpha_s, beta_n)(a_s,a_n) * Du_spec()(gamma_s,gamma_n)(c_s,c_n);
result()(gamma_s,gamma_n)() += ee_GDGDGD * DuG()(gamma_s, beta_n)(c_s,a_n) * Du_spec()(alpha_s,gamma_n)(a_s,c_n);
}}
}
}}}
}
}
}
/* Du_ti is a quark line from t_i to t_H
* Du_tf is a quark line from t_f to t_H
* Du_spec is a quark line from t_i to t_f
* Dd_tf is a quark line from t_f to t_H
* Ds_ti is a quark line from t_i to t_H */
template <class FImpl>
template <class mobj, class mobj2, class robj>
void BaryonUtils<FImpl>::SigmaToNucleonQ2NonEyeSite(const mobj &Du_ti,
const mobj &Du_tf,
const mobj2 &Du_spec,
const mobj &Dd_tf,
const mobj &Ds_ti,
const Gamma Gamma_H,
const Gamma GammaB_sigma,
const Gamma GammaB_nucl,
robj &result)
{
Gamma g5(Gamma::Algebra::Gamma5);
auto DuG = Du_spec * GammaB_nucl;
auto adjDu = g5 * adj(Du_tf) * g5;
auto adjDuG = adjDu * GammaB_nucl;
// Gamma^B * Ds * \gamma_\mu^L
auto GDsG = GammaB_sigma * Ds_ti * Gamma_H;
// Du * \gamma_\mu^L * (\gamma_5 * Dd^\dagger * \gamma_5)
auto DuGDd = Du_ti * Gamma_H * g5 * adj(Dd_tf) * g5;
for (int ie_n=0; ie_n < 6 ; ie_n++){
int a_n = epsilon[ie_n][0]; //a
int b_n = epsilon[ie_n][1]; //b
int c_n = epsilon[ie_n][2]; //c
for (int ie_s=0; ie_s < 6 ; ie_s++){
int a_s = epsilon[ie_s][0]; //a'
int b_s = epsilon[ie_s][1]; //b'
int c_s = epsilon[ie_s][2]; //c'
for (int alpha_s=0; alpha_s<Ns; alpha_s++){
for (int tau=0; tau<Ns; tau++){
for (int i=0; i<Nc; i++){
auto GDsG_at_bi = GDsG()(alpha_s,tau)(b_s,i);
for (int beta_n=0; beta_n<Ns; beta_n++){
auto DuGDd_ab_ab = DuGDd()(alpha_s,beta_n)(a_s,b_n);
auto ee_GDGDGD_a = epsilon_sgn[ie_n] * epsilon_sgn[ie_s] * GDsG_at_bi * DuGDd_ab_ab;
for (int gamma_s=0; gamma_s<Ns; gamma_s++){
auto DuGDd_gb_cb = DuGDd()(gamma_s,beta_n)(c_s,b_n);
auto ee_GDGDGD_c = epsilon_sgn[ie_n] * epsilon_sgn[ie_s] * GDsG_at_bi * DuGDd_gb_cb;
for (int gamma_n=0; gamma_n<Ns; gamma_n++){
result()(gamma_s,gamma_n)() -= ee_GDGDGD_a * DuG()(gamma_s, beta_n)(c_s,a_n) * adjDu()(tau,gamma_n)(i,c_n);
result()(gamma_s,gamma_n)() -= ee_GDGDGD_c * adjDuG()(tau, beta_n)(i,a_n) * Du_spec()(alpha_s,gamma_n)(a_s,c_n);
result()(gamma_s,gamma_n)() += ee_GDGDGD_a * adjDuG()(tau, beta_n)(i,a_n) * Du_spec()(gamma_s,gamma_n)(c_s,c_n);
result()(gamma_s,gamma_n)() += ee_GDGDGD_c * DuG()(alpha_s, beta_n)(a_s,a_n) * adjDu()(tau,gamma_n)(i,c_n);
}
}
}
}}}
}
}
}
template<class FImpl>
template <class mobj>
void BaryonUtils<FImpl>::SigmaToNucleonEye(const PropagatorField &qq_loop,
const mobj &Du_spec,
const PropagatorField &qd_tf,
const PropagatorField &qs_ti,
const Gamma Gamma_H,
const Gamma GammaB_sigma,
const Gamma GammaB_nucl,
const std::string op,
SpinMatrixField &stn_corr)
{
assert(Ns==4 && "Baryon code only implemented for N_spin = 4");
assert(Nc==3 && "Baryon code only implemented for N_colour = 3");
GridBase *grid = qs_ti.Grid();
autoView( vcorr, stn_corr, CpuWrite);
autoView( vq_loop , qq_loop, CpuRead);
autoView( vd_tf , qd_tf, CpuRead);
autoView( vs_ti , qs_ti, CpuRead);
accelerator_for(ss, grid->oSites(), grid->Nsimd(), {
auto Dq_loop = vq_loop[ss];
auto Dd_tf = vd_tf[ss];
auto Ds_ti = vs_ti[ss];
sobj result=Zero();
if(op == "Q1"){
SigmaToNucleonQ1EyeSite(Dq_loop,Du_spec,Dd_tf,Ds_ti,Gamma_H,GammaB_sigma,GammaB_nucl,result);
} else if(op == "Q2"){
SigmaToNucleonQ2EyeSite(Dq_loop,Du_spec,Dd_tf,Ds_ti,Gamma_H,GammaB_sigma,GammaB_nucl,result);
} else {
assert(0 && "Weak Operator not correctly specified");
}
vcorr[ss] = result;
} );//end loop over lattice sites
}
template<class FImpl>
template <class mobj>
void BaryonUtils<FImpl>::SigmaToNucleonNonEye(const PropagatorField &qq_ti,
const PropagatorField &qq_tf,
const mobj &Du_spec,
const PropagatorField &qd_tf,
const PropagatorField &qs_ti,
const Gamma Gamma_H,
const Gamma GammaB_sigma,
const Gamma GammaB_nucl,
const std::string op,
SpinMatrixField &stn_corr)
{
assert(Ns==4 && "Baryon code only implemented for N_spin = 4");
assert(Nc==3 && "Baryon code only implemented for N_colour = 3");
GridBase *grid = qs_ti.Grid();
autoView( vcorr , stn_corr, CpuWrite);
autoView( vq_ti , qq_ti, CpuRead);
autoView( vq_tf , qq_tf, CpuRead);
autoView( vd_tf , qd_tf, CpuRead);
autoView( vs_ti , qs_ti, CpuRead);
// accelerator_for(ss, grid->oSites(), grid->Nsimd(), {
thread_for(ss,grid->oSites(),{
auto Dq_ti = vq_ti[ss];
auto Dq_tf = vq_tf[ss];
auto Dd_tf = vd_tf[ss];
auto Ds_ti = vs_ti[ss];
sobj result=Zero();
if(op == "Q1"){
SigmaToNucleonQ1NonEyeSite(Dq_ti,Dq_tf,Du_spec,Dd_tf,Ds_ti,Gamma_H,GammaB_sigma,GammaB_nucl,result);
} else if(op == "Q2"){
SigmaToNucleonQ2NonEyeSite(Dq_ti,Dq_tf,Du_spec,Dd_tf,Ds_ti,Gamma_H,GammaB_sigma,GammaB_nucl,result);
} else {
assert(0 && "Weak Operator not correctly specified");
}
vcorr[ss] = result;
} );//end loop over lattice sites
}
NAMESPACE_END(Grid);
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