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Merge pull request #242 from mmphys/feature/baryons

Feature/baryons
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Antonin Portelli 2019-10-16 15:06:32 +01:00 committed by GitHub
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4 changed files with 1068 additions and 17 deletions

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@ -0,0 +1,252 @@
/*************************************************************************************
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>
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;
static constexpr int epsilon[6][3] = {{0,1,2},{1,2,0},{2,0,1},{0,2,1},{2,1,0},{1,0,2}};
static constexpr Complex epsilon_sgn[6]= {1,1,1,-1,-1,-1};
private:
template <class mobj, class robj>
static void baryon_site(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 int * wick_contractions,
robj &result);
public:
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 char * quarks_left,
const char * quarks_right,
const int parity,
ComplexField &baryon_corr);
template <class mobj, class robj>
static void ContractBaryons_Sliced(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 char * quarks_left,
const char * quarks_right,
const int parity,
robj &result);
};
template <class FImpl>
constexpr int BaryonUtils<FImpl>::epsilon[6][3];
template <class FImpl>
constexpr Complex BaryonUtils<FImpl>::epsilon_sgn[6];
template <class FImpl>
template <class mobj, class robj>
void BaryonUtils<FImpl>::baryon_site(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 int * wick_contraction,
robj &result)
{
Gamma g4(Gamma::Algebra::GammaT); //needed for parity P_\pm = 0.5*(1 \pm \gamma_4)
auto gD1a = GammaA_left * GammaA_right * D1;
auto gD1b = GammaA_left * g4 * GammaA_right * D1;
auto pD1 = 0.5* (gD1a + (double)parity * gD1b);
auto gD3 = GammaB_right * D3;
for (int ie_left=0; ie_left < 6 ; ie_left++){
int a_left = epsilon[ie_left][0]; //a
int b_left = epsilon[ie_left][1]; //b
int c_left = epsilon[ie_left][2]; //c
for (int ie_right=0; ie_right < 6 ; ie_right++){
int a_right = epsilon[ie_right][0]; //a'
int b_right = epsilon[ie_right][1]; //b'
int c_right = epsilon[ie_right][2]; //c'
//This is the \delta_{456}^{123} part
if (wick_contraction[0]){
auto D2g = D2 * GammaB_left;
for (int alpha_right=0; alpha_right<Ns; alpha_right++){
for (int beta_left=0; beta_left<Ns; beta_left++){
for (int gamma_left=0; gamma_left<Ns; gamma_left++){
result()()() += epsilon_sgn[ie_left] * epsilon_sgn[ie_right] * pD1()(gamma_left,gamma_left)(c_right,c_left)*D2g()(alpha_right,beta_left)(a_right,a_left)*gD3()(alpha_right,beta_left)(b_right,b_left);
}}}
}
//This is the \delta_{456}^{231} part
if (wick_contraction[1]){
auto pD1g = pD1 * GammaB_left;
for (int alpha_right=0; alpha_right<Ns; alpha_right++){
for (int beta_left=0; beta_left<Ns; beta_left++){
for (int gamma_left=0; gamma_left<Ns; gamma_left++){
result()()() += epsilon_sgn[ie_left] * epsilon_sgn[ie_right] * pD1g()(gamma_left,beta_left)(c_right,a_left)*D2()(alpha_right,beta_left)(a_right,b_left)*gD3()(alpha_right,gamma_left)(b_right,c_left);
}}}
}
//This is the \delta_{456}^{312} part
if (wick_contraction[2]){
auto gD3g = gD3 * GammaB_left;
for (int alpha_right=0; alpha_right<Ns; alpha_right++){
for (int beta_left=0; beta_left<Ns; beta_left++){
for (int gamma_left=0; gamma_left<Ns; gamma_left++){
result()()() += epsilon_sgn[ie_left] * epsilon_sgn[ie_right] * pD1()(gamma_left,beta_left)(c_right,b_left)*D2()(alpha_right,gamma_left)(a_right,c_left)*gD3g()(alpha_right,beta_left)(b_right,a_left);
}}}
}
//This is the \delta_{456}^{132} part
if (wick_contraction[3]){
auto gD3g = gD3 * GammaB_left;
for (int alpha_right=0; alpha_right<Ns; alpha_right++){
for (int beta_left=0; beta_left<Ns; beta_left++){
for (int gamma_left=0; gamma_left<Ns; gamma_left++){
result()()() -= epsilon_sgn[ie_left] * epsilon_sgn[ie_right] * pD1()(gamma_left,gamma_left)(c_right,c_left)*D2()(alpha_right,beta_left)(a_right,b_left)*gD3g()(alpha_right,beta_left)(b_right,a_left);
}}}
}
//This is the \delta_{456}^{321} part
if (wick_contraction[4]){
auto D2g = D2 * GammaB_left;
for (int alpha_right=0; alpha_right<Ns; alpha_right++){
for (int beta_left=0; beta_left<Ns; beta_left++){
for (int gamma_left=0; gamma_left<Ns; gamma_left++){
result()()() -= epsilon_sgn[ie_left] * epsilon_sgn[ie_right] * pD1()(gamma_left,beta_left)(c_right,b_left)*D2g()(alpha_right,beta_left)(a_right,a_left)*gD3()(alpha_right,gamma_left)(b_right,c_left);
}}}
}
//This is the \delta_{456}^{213} part
if (wick_contraction[5]){
auto pD1g = pD1 * GammaB_left;
for (int alpha_right=0; alpha_right<Ns; alpha_right++){
for (int beta_left=0; beta_left<Ns; beta_left++){
for (int gamma_left=0; gamma_left<Ns; gamma_left++){
result()()() -= epsilon_sgn[ie_left] * epsilon_sgn[ie_right] * pD1g()(gamma_left,beta_left)(c_right,a_left)*D2()(alpha_right,gamma_left)(a_right,c_left)*gD3()(alpha_right,beta_left)(b_right,b_left);
}}}
}
}
}
}
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 char * quarks_left,
const char * quarks_right,
const int parity,
ComplexField &baryon_corr)
{
std::cout << "Contraction <" << quarks_right[0] << quarks_right[1] << quarks_right[2] << "|" << quarks_left[0] << quarks_left[1] << quarks_left[2] << ">" << std::endl;
std::cout << "GammaA (left) " << (GammaA_left.g) << std::endl;
std::cout << "GammaB (left) " << (GammaB_left.g) << std::endl;
std::cout << "GammaA (right) " << (GammaA_right.g) << std::endl;
std::cout << "GammaB (right) " << (GammaB_right.g) << std::endl;
assert(parity==1 || parity == -1 && "Parity must be +1 or -1");
GridBase *grid = q1_left.Grid();
int wick_contraction[6];
for (int ie=0; ie < 6 ; ie++)
wick_contraction[ie] = (quarks_left[0] == quarks_right[epsilon[ie][0]] && quarks_left[1] == quarks_right[epsilon[ie][1]] && quarks_left[2] == quarks_right[epsilon[ie][2]]) ? 1 : 0;
auto vbaryon_corr= baryon_corr.View();
auto v1 = q1_left.View();
auto v2 = q2_left.View();
auto v3 = q3_left.View();
// accelerator_for(ss, grid->oSites(), grid->Nsimd(), {
thread_for(ss,grid->oSites(),{
//for(int ss=0; ss < grid->oSites(); ss++){
auto D1 = v1[ss];
auto D2 = v2[ss];
auto D3 = v3[ss];
vobj result=Zero();
baryon_site(D1,D2,D3,GammaA_left,GammaB_left,GammaA_right,GammaB_right,parity,wick_contraction,result);
vbaryon_corr[ss] = result;
} );//end loop over lattice sites
}
template <class FImpl>
template <class mobj, class robj>
void BaryonUtils<FImpl>::ContractBaryons_Sliced(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 char * quarks_left,
const char * quarks_right,
const int parity,
robj &result)
{
std::cout << "Contraction <" << quarks_right[0] << quarks_right[1] << quarks_right[2] << "|" << quarks_left[0] << quarks_left[1] << quarks_left[2] << ">" << std::endl;
std::cout << "GammaA (left) " << (GammaA_left.g) << std::endl;
std::cout << "GammaB (left) " << (GammaB_left.g) << std::endl;
std::cout << "GammaA (right) " << (GammaA_right.g) << std::endl;
std::cout << "GammaB (right) " << (GammaB_right.g) << std::endl;
assert(parity==1 || parity == -1 && "Parity must be +1 or -1");
int wick_contraction[6];
for (int ie=0; ie < 6 ; ie++)
wick_contraction[ie] = (quarks_left[0] == quarks_right[epsilon[ie][0]] && quarks_left[1] == quarks_right[epsilon[ie][1]] && quarks_left[2] == quarks_right[epsilon[ie][2]]) ? 1 : 0;
result=Zero();
baryon_site(D1,D2,D3,GammaA_left,GammaB_left,GammaA_right,GammaB_right,parity,wick_contraction,result);
}
NAMESPACE_END(Grid);

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@ -7,7 +7,7 @@ Source file: Hadrons/Modules/MContraction/Baryon.hpp
Copyright (C) 2015-2019
Author: Antonin Portelli <antonin.portelli@me.com>
Author: Lanny91 <andrew.lawson@gmail.com>
Author: Felix Erben <felix.erben@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
@ -33,6 +33,7 @@ See the full license in the file "LICENSE" in the top level distribution directo
#include <Hadrons/Global.hpp>
#include <Hadrons/Module.hpp>
#include <Hadrons/ModuleFactory.hpp>
#include <Grid/qcd/utils/BaryonUtils.h>
BEGIN_HADRONS_NAMESPACE
@ -41,6 +42,9 @@ BEGIN_HADRONS_NAMESPACE
******************************************************************************/
BEGIN_MODULE_NAMESPACE(MContraction)
typedef std::pair<Gamma::Algebra, Gamma::Algebra> GammaAB;
typedef std::pair<GammaAB, GammaAB> GammaABPair;
class BaryonPar: Serializable
{
public:
@ -48,6 +52,11 @@ public:
std::string, q1,
std::string, q2,
std::string, q3,
std::string, gammas,
std::string, quarks,
std::string, prefactors,
std::string, parity,
std::string, sink,
std::string, output);
};
@ -58,12 +67,21 @@ public:
FERM_TYPE_ALIASES(FImpl1, 1);
FERM_TYPE_ALIASES(FImpl2, 2);
FERM_TYPE_ALIASES(FImpl3, 3);
class Result: Serializable
BASIC_TYPE_ALIASES(ScalarImplCR, Scalar);
SINK_TYPE_ALIASES(Scalar);
class Metadata: Serializable
{
public:
GRID_SERIALIZABLE_CLASS_MEMBERS(Result,
std::vector<std::vector<std::vector<Complex>>>, corr);
GRID_SERIALIZABLE_CLASS_MEMBERS(Metadata,
Gamma::Algebra, gammaA_left,
Gamma::Algebra, gammaB_left,
Gamma::Algebra, gammaA_right,
Gamma::Algebra, gammaB_right,
std::string, quarks,
std::string, prefactors,
int, parity);
};
typedef Correlator<Metadata> Result;
public:
// constructor
TBaryon(const std::string name);
@ -72,11 +90,14 @@ public:
// dependency relation
virtual std::vector<std::string> getInput(void);
virtual std::vector<std::string> getOutput(void);
virtual void parseGammaString(std::vector<GammaABPair> &gammaList);
protected:
// setup
virtual void setup(void);
// execution
virtual void execute(void);
// Which gamma algebra was specified
Gamma::Algebra al;
};
MODULE_REGISTER_TMP(Baryon, ARG(TBaryon<FIMPL, FIMPL, FIMPL>), MContraction);
@ -94,7 +115,7 @@ TBaryon<FImpl1, FImpl2, FImpl3>::TBaryon(const std::string name)
template <typename FImpl1, typename FImpl2, typename FImpl3>
std::vector<std::string> TBaryon<FImpl1, FImpl2, FImpl3>::getInput(void)
{
std::vector<std::string> input = {par().q1, par().q2, par().q3};
std::vector<std::string> input = {par().q1, par().q2, par().q3, par().sink};
return input;
}
@ -107,30 +128,199 @@ std::vector<std::string> TBaryon<FImpl1, FImpl2, FImpl3>::getOutput(void)
return out;
}
template <typename FImpl1, typename FImpl2, typename FImpl3>
void TBaryon<FImpl1, FImpl2,FImpl3>::parseGammaString(std::vector<GammaABPair> &gammaList)
{
gammaList.clear();
std::string gammaString = par().gammas;
//Shorthands for standard baryon operators
gammaString = regex_replace(gammaString, std::regex("j12"),"(Identity SigmaXZ)");
gammaString = regex_replace(gammaString, std::regex("j32X"),"(Identity MinusGammaZGamma5)");
gammaString = regex_replace(gammaString, std::regex("j32Y"),"(Identity GammaT)");
gammaString = regex_replace(gammaString, std::regex("j32Z"),"(Identity GammaXGamma5)");
//Shorthands for less common baryon operators
gammaString = regex_replace(gammaString, std::regex("j12_alt1"),"(Gamma5 MinusSigmaYT)");
gammaString = regex_replace(gammaString, std::regex("j12_alt2"),"(Identity GammaYGamma5)");
//A single gamma matrix
std::regex rex_g("([0-9a-zA-Z]+)");
//The full string we expect
std::regex rex("( *\\(( *\\(([0-9a-zA-Z]+) +([0-9a-zA-Z]+) *\\)){2} *\\) *)+");
std::smatch sm;
std::regex_match(gammaString, sm, rex);
assert(sm[0].matched && "invalid gamma structure.");
auto gamma_begin = std::sregex_iterator(gammaString.begin(), gammaString.end(), rex_g);
auto gamma_end = std::sregex_iterator();
int nGamma = std::distance(gamma_begin, gamma_end);
//couldn't find out how to count the size in the iterator, other than looping through it...
/* int nGamma=0;
for (std::sregex_iterator i = gamma_begin; i != gamma_end; ++i) {
nGamma++;
}
*/
gammaList.resize(nGamma/4);
std::vector<std::string> gS;
gS.resize(nGamma);
//even more ugly workarounds here...
int iG=0;
for (std::sregex_iterator i = gamma_begin; i != gamma_end; ++i) {
std::smatch match = *i;
gS[iG] = match.str();
iG++;
}
for (int i = 0; i < gammaList.size(); i++){
std::vector<Gamma::Algebra> gS1 = strToVec<Gamma::Algebra>(gS[4*i]);
std::vector<Gamma::Algebra> gS2 = strToVec<Gamma::Algebra>(gS[4*i+1]);
std::vector<Gamma::Algebra> gS3 = strToVec<Gamma::Algebra>(gS[4*i+2]);
std::vector<Gamma::Algebra> gS4 = strToVec<Gamma::Algebra>(gS[4*i+3]);
gammaList[i].first.first=gS1[0];
gammaList[i].first.second=gS2[0];
gammaList[i].second.first=gS3[0];
gammaList[i].second.second=gS4[0];
}
}
// setup ///////////////////////////////////////////////////////////////////////
template <typename FImpl1, typename FImpl2, typename FImpl3>
void TBaryon<FImpl1, FImpl2, FImpl3>::setup(void)
{
envTmpLat(LatticeComplex, "c");
envTmpLat(LatticeComplex, "c2");
}
// execution ///////////////////////////////////////////////////////////////////
template <typename FImpl1, typename FImpl2, typename FImpl3>
void TBaryon<FImpl1, FImpl2, FImpl3>::execute(void)
{
LOG(Message) << "Computing baryon contractions '" << getName() << "' using"
<< " quarks '" << par().q1 << "', '" << par().q2 << "', and '"
<< par().q3 << "'" << std::endl;
auto &q1 = envGet(PropagatorField1, par().q1);
auto &q2 = envGet(PropagatorField2, par().q2);
auto &q3 = envGet(PropagatorField3, par().q2);
std::vector<std::string> quarks = strToVec<std::string>(par().quarks);
std::vector<double> prefactors = strToVec<double>(par().prefactors);
int nQ=quarks.size();
const int parity {par().parity.size()>0 ? std::stoi(par().parity) : 1};
std::vector<GammaABPair> gammaList;
parseGammaString(gammaList);
assert(prefactors.size()==nQ && "number of prefactors needs to match number of quark-structures.");
for (int iQ = 0; iQ < nQ; iQ++)
assert(quarks[iQ].size()==3 && "quark-structures must consist of 3 quarks each.");
LOG(Message) << "Computing baryon contractions '" << getName() << "'" << std::endl;
for (int iQ1 = 0; iQ1 < nQ; iQ1++)
for (int iQ2 = 0; iQ2 < nQ; iQ2++)
LOG(Message) << prefactors[iQ1]*prefactors[iQ2] << "*<" << quarks[iQ1] << "|" << quarks[iQ2] << ">" << std::endl;
LOG(Message) << " using quarks " << par().q1 << "', " << par().q2 << "', and '" << par().q3 << std::endl;
for (int iG = 0; iG < gammaList.size(); iG++)
LOG(Message) << "' with (Gamma^A,Gamma^B)_left = ( " << gammaList[iG].first.first << " , " << gammaList[iG].first.second << "') and (Gamma^A,Gamma^B)_right = ( " << gammaList[iG].second.first << " , " << gammaList[iG].second.second << ")" << std::endl;
LOG(Message) << "and parity " << parity << " using sink " << par().sink << "." << std::endl;
envGetTmp(LatticeComplex, c);
Result result;
// FIXME: do contractions
// saveResult(par().output, "meson", result);
envGetTmp(LatticeComplex, c2);
int nt = env().getDim(Tp);
std::vector<TComplex> buf;
TComplex cs;
TComplex ch;
std::vector<Result> result;
Result r;
r.info.parity = parity;
r.info.quarks = par().quarks;
r.info.prefactors = par().prefactors;
if (envHasType(SlicedPropagator1, par().q1) and
envHasType(SlicedPropagator2, par().q2) and
envHasType(SlicedPropagator3, par().q3))
{
auto &q1 = envGet(SlicedPropagator1, par().q1);
auto &q2 = envGet(SlicedPropagator2, par().q2);
auto &q3 = envGet(SlicedPropagator3, par().q3);
for (unsigned int i = 0; i < gammaList.size(); ++i)
{
r.info.gammaA_left = gammaList[i].first.first;
r.info.gammaB_left = gammaList[i].first.second;
r.info.gammaA_right = gammaList[i].second.first;
r.info.gammaB_right = gammaList[i].second.second;
Gamma gAl(gammaList[i].first.first);
Gamma gBl(gammaList[i].first.second);
Gamma gAr(gammaList[i].second.first);
Gamma gBr(gammaList[i].second.second);
LOG(Message) << "(propagator already sinked)" << std::endl;
r.corr.clear();
for (unsigned int t = 0; t < buf.size(); ++t)
{
cs = Zero();
for (int iQ1 = 0; iQ1 < nQ; iQ1++){
for (int iQ2 = 0; iQ2 < nQ; iQ2++){
BaryonUtils<FIMPL>::ContractBaryons_Sliced(q1[t],q2[t],q3[t],gAl,gBl,gAr,gBr,quarks[iQ1].c_str(),quarks[iQ2].c_str(),parity,ch);
cs += prefactors[iQ1]*prefactors[iQ2]*ch;
}
}
r.corr.push_back(TensorRemove(cs));
}
result.push_back(r);
}
}
else
{
auto &q1 = envGet(PropagatorField1, par().q1);
auto &q2 = envGet(PropagatorField2, par().q2);
auto &q3 = envGet(PropagatorField3, par().q3);
for (unsigned int i = 0; i < gammaList.size(); ++i)
{
r.info.gammaA_left = gammaList[i].first.first;
r.info.gammaB_left = gammaList[i].first.second;
r.info.gammaA_right = gammaList[i].second.first;
r.info.gammaB_right = gammaList[i].second.second;
Gamma gAl(gammaList[i].first.first);
Gamma gBl(gammaList[i].first.second);
Gamma gAr(gammaList[i].second.first);
Gamma gBr(gammaList[i].second.second);
std::string ns;
ns = vm().getModuleNamespace(env().getObjectModule(par().sink));
if (ns == "MSource")
{
c=Zero();
for (int iQ1 = 0; iQ1 < nQ; iQ1++){
for (int iQ2 = 0; iQ2 < nQ; iQ2++){
BaryonUtils<FIMPL>::ContractBaryons(q1,q2,q3,gAl,gBl,gAr,gBr,quarks[iQ1].c_str(),quarks[iQ2].c_str(),parity,c2);
c+=prefactors[iQ1]*prefactors[iQ2]*c2;
}
}
PropagatorField1 &sink = envGet(PropagatorField1, par().sink);
auto test = closure(trace(sink*c));
sliceSum(test, buf, Tp);
}
else if (ns == "MSink")
{
c=Zero();
for (int iQ1 = 0; iQ1 < nQ; iQ1++){
for (int iQ2 = 0; iQ2 < nQ; iQ2++){
BaryonUtils<FIMPL>::ContractBaryons(q1,q2,q3,gAl,gBl,gAr,gBr,quarks[iQ1].c_str(),quarks[iQ2].c_str(),parity,c2);
c+=prefactors[iQ1]*prefactors[iQ2]*c2;
}
}
SinkFnScalar &sink = envGet(SinkFnScalar, par().sink);
buf = sink(c);
}
r.corr.clear();
for (unsigned int t = 0; t < buf.size(); ++t)
{
r.corr.push_back(TensorRemove(buf[t]));
}
result.push_back(r);
}
}
saveResult(par().output, "baryon", result);
}
END_MODULE_NAMESPACE

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@ -46,6 +46,7 @@ int main(int argc, char *argv[])
// run setup ///////////////////////////////////////////////////////////////
Application application;
std::vector<std::string> flavour = {"l", "s", "c1", "c2", "c3"};
std::vector<std::string> flavour_baryon = {"l", "s", "a", "b", "c"}; //needs to be a single character
std::vector<double> mass = {.01, .04, .2 , .25 , .3 };
// global parameters
@ -134,6 +135,10 @@ int main(int argc, char *argv[])
barPar.q1 = "Qpt_" + flavour[i];
barPar.q2 = "Qpt_" + flavour[j];
barPar.q3 = "Qpt_" + flavour[k];
barPar.gammas = "(j12 j12) (j32X j32Y)";
barPar.quarks = flavour_baryon[i] + flavour_baryon[j] + flavour_baryon[k];
barPar.prefactors = "1.0";
barPar.sink = "sink";
application.createModule<MContraction::Baryon>(
"baryon_pt_" + flavour[i] + flavour[j] + flavour[k], barPar);
}

View File

@ -0,0 +1,604 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/qdpxx/Test_qdpxx_wilson.cc
Copyright (C) 2017
Author: Felix Erben <felix.erben@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 */
#include <chroma.h>
#include <Grid/Grid.h>
#include <Grid/qcd/utils/BaryonUtils.h>
typedef Grid::LatticeGaugeField GaugeField;
namespace Chroma
{
class ChromaWrapper
{
public:
typedef multi1d<LatticeColorMatrix> U;
typedef LatticeFermion T4;
static void ImportGauge(GaugeField &gr,
QDP::multi1d<QDP::LatticeColorMatrix> &ch)
{
Grid::LorentzColourMatrix LCM;
Grid::Complex cc;
QDP::ColorMatrix cm;
QDP::Complex c;
std::vector<int> x(4);
QDP::multi1d<int> cx(4);
Grid::Coordinate gd = gr.Grid()->GlobalDimensions();
for (x[0] = 0; x[0] < gd[0]; x[0]++)
{
for (x[1] = 0; x[1] < gd[1]; x[1]++)
{
for (x[2] = 0; x[2] < gd[2]; x[2]++)
{
for (x[3] = 0; x[3] < gd[3]; x[3]++)
{
cx[0] = x[0];
cx[1] = x[1];
cx[2] = x[2];
cx[3] = x[3];
Grid::peekSite(LCM, gr, x);
for (int mu = 0; mu < 4; mu++)
{
for (int i = 0; i < 3; i++)
{
for (int j = 0; j < 3; j++)
{
cc = LCM(mu)()(i, j);
c = QDP::cmplx(QDP::Real(real(cc)), QDP::Real(imag(cc)));
QDP::pokeColor(cm, c, i, j);
}
}
QDP::pokeSite(ch[mu], cm, cx);
}
}
}
}
}
}
static void ExportGauge(GaugeField &gr,
QDP::multi1d<QDP::LatticeColorMatrix> &ch)
{
Grid::LorentzColourMatrix LCM;
Grid::Complex cc;
QDP::ColorMatrix cm;
QDP::Complex c;
std::vector<int> x(4);
QDP::multi1d<int> cx(4);
Grid::Coordinate gd = gr.Grid()->GlobalDimensions();
for (x[0] = 0; x[0] < gd[0]; x[0]++)
{
for (x[1] = 0; x[1] < gd[1]; x[1]++)
{
for (x[2] = 0; x[2] < gd[2]; x[2]++)
{
for (x[3] = 0; x[3] < gd[3]; x[3]++)
{
cx[0] = x[0];
cx[1] = x[1];
cx[2] = x[2];
cx[3] = x[3];
for (int mu = 0; mu < 4; mu++)
{
for (int i = 0; i < 3; i++)
{
for (int j = 0; j < 3; j++)
{
cm = QDP::peekSite(ch[mu], cx);
c = QDP::peekColor(cm, i, j);
cc = Grid::Complex(toDouble(real(c)), toDouble(imag(c)));
LCM(mu)
()(i, j) = cc;
}
}
}
Grid::pokeSite(LCM, gr, x);
}
}
}
}
}
// Specific for Wilson Fermions
static void ImportPropagator(Grid::LatticePropagator &gr,
QDP::LatticePropagator &ch)
{
Grid::LatticeSpinColourVector LF(gr.Grid());
QDP::LatticeFermion cLF;
int Nspin=4;
int Ncolour=3;
for (int is = 0; is < Nspin; is++){
for (int ic = 0; ic < Ncolour; ic++){
Grid::PropToFerm<Grid::WilsonImplR>(LF,gr,is,ic);
ImportFermion(LF,cLF);
Chroma::FermToProp(cLF,ch,ic,is);
}
}
}
static void ExportPropagator(Grid::LatticePropagator &gr,
QDP::LatticePropagator &ch)
{
Grid::LatticeSpinColourVector LF(gr.Grid());
QDP::LatticeFermion cLF;
int Nspin=4;
int Ncolour=3;
for (int is = 0; is < Nspin; is++){
for (int ic = 0; ic < Ncolour; ic++){
Chroma::PropToFerm(ch,cLF,ic,is);
ExportFermion(LF,cLF);
Grid::FermToProp<Grid::WilsonImplR>(gr,LF,is,ic);
}
}
}
// Specific for Wilson Fermions
static void ImportFermion(Grid::LatticeFermion &gr,
QDP::LatticeFermion &ch)
{
Grid::SpinColourVector F;
Grid::Complex c;
QDP::Fermion cF;
QDP::SpinVector cS;
QDP::Complex cc;
std::vector<int> x(4); // explicit 4d fermions in Grid
QDP::multi1d<int> cx(4);
Grid::Coordinate gd = gr.Grid()->GlobalDimensions();
for (x[0] = 0; x[0] < gd[0]; x[0]++)
{
for (x[1] = 0; x[1] < gd[1]; x[1]++)
{
for (x[2] = 0; x[2] < gd[2]; x[2]++)
{
for (x[3] = 0; x[3] < gd[3]; x[3]++)
{
cx[0] = x[0];
cx[1] = x[1];
cx[2] = x[2];
cx[3] = x[3];
Grid::peekSite(F, gr, x);
for (int j = 0; j < 3; j++)
{
for (int sp = 0; sp < 4; sp++)
{
c = F()(sp)(j);
cc = QDP::cmplx(QDP::Real(real(c)), QDP::Real(imag(c)));
QDP::pokeSpin(cS, cc, sp);
}
QDP::pokeColor(cF, cS, j);
}
QDP::pokeSite(ch, cF, cx);
}
}
}
}
}
// Specific for 4d Wilson fermions
static void ExportFermion(Grid::LatticeFermion &gr,
QDP::LatticeFermion &ch)
{
Grid::SpinColourVector F;
Grid::Complex c;
QDP::Fermion cF;
QDP::SpinVector cS;
QDP::Complex cc;
std::vector<int> x(4); // 4d fermions
QDP::multi1d<int> cx(4);
Grid::Coordinate gd = gr.Grid()->GlobalDimensions();
for (x[0] = 0; x[0] < gd[0]; x[0]++)
{
for (x[1] = 0; x[1] < gd[1]; x[1]++)
{
for (x[2] = 0; x[2] < gd[2]; x[2]++)
{
for (x[3] = 0; x[3] < gd[3]; x[3]++)
{
cx[0] = x[0];
cx[1] = x[1];
cx[2] = x[2];
cx[3] = x[3];
cF = QDP::peekSite(ch, cx);
for (int sp = 0; sp < 4; sp++)
{
for (int j = 0; j < 3; j++)
{
cS = QDP::peekColor(cF, j);
cc = QDP::peekSpin(cS, sp);
c = Grid::Complex(QDP::toDouble(QDP::real(cc)),
QDP::toDouble(QDP::imag(cc)));
F()
(sp)(j) = c;
}
}
Grid::pokeSite(F, gr, x);
}
}
}
}
}
};
} // namespace Chroma
void make_gauge(GaugeField &Umu, Grid::LatticePropagator &q1,Grid::LatticePropagator &q2,Grid::LatticePropagator &q3)
{
using namespace Grid;
using namespace Grid::QCD;
std::vector<int> seeds4({1, 2, 3, 4});
Grid::GridCartesian *UGrid = (Grid::GridCartesian *)Umu.Grid();
Grid::GridParallelRNG RNG4(UGrid);
RNG4.SeedFixedIntegers(seeds4);
Grid::SU3::HotConfiguration(RNG4, Umu);
// Propagator
Grid::gaussian(RNG4, q1);
Grid::gaussian(RNG4, q2);
Grid::gaussian(RNG4, q3);
}
void calc_chroma(GaugeField &lat, Grid::LatticePropagator &qU,Grid::LatticePropagator &qD,Grid::LatticePropagator &qS, std::vector<QDP::Complex> &res, std::string baryon)
{
QDP::multi1d<QDP::LatticeColorMatrix> u(4);
Chroma::ChromaWrapper::ImportGauge(lat, u);
QDP::LatticePropagator check;
QDP::LatticePropagator result;
QDP::LatticePropagator psiU;
QDP::LatticePropagator psiD;
QDP::LatticePropagator psiS;
Chroma::ChromaWrapper::ImportPropagator(qU, psiU);
Chroma::ChromaWrapper::ImportPropagator(qD, psiD);
Chroma::ChromaWrapper::ImportPropagator(qS, psiS);
if(0){
std::cout << "Testing ImportPropagator(): " << std::endl;
Grid::GridCartesian *UGrid = (Grid::GridCartesian *)lat.Grid();
std::vector<Grid::TComplex> buf;
Grid::LatticeComplex tmp(UGrid);
tmp = Grid::trace(qU);
Grid::sliceSum(tmp,buf,Grid::Nd-1);
for (unsigned int t = 0; t < buf.size(); ++t)
{
std::cout << "Grid qU " << t << " " << Grid::TensorRemove(buf[t]) << std::endl;
}
QDP::LatticeComplex ctmp;
ctmp = QDP::trace(psiU);
Chroma::SftMom phases0(0,true,3); //How do I circumvent this? sliceSum equivalent?
QDP::multi2d<DComplex> hsum0;
hsum0 = phases0.sft(ctmp);
for(int t = 0; t < phases0.numSubsets(); ++t){
std::cout << "Chroma qU " << t << " " << hsum0[0][t] << std::endl;
}
}
SpinMatrix C;
SpinMatrix C_5;
SpinMatrix C_4_5;
SpinMatrix CG_1;
SpinMatrix CG_2;
SpinMatrix CG_3;
SpinMatrix CG_4;
SpinMatrix g_one = 1.0;
//C = \gamma_2\gamma_4
C = (Gamma(10)*g_one);
//C_5 = C*gamma_5
C_5 = (Gamma(5)*g_one);
//C_4_5 = C*gamma_4*gamma_5
C_4_5 = (Gamma(13)*g_one);
//CG_1 = C*gamma_1
CG_1 = (Gamma(11)*g_one);
//CG_2 = C*gamma_2
CG_2 = (Gamma(8)*g_one);
//CG_3 = C*gamma_3
CG_3 = (Gamma(14)*g_one);
//CG_4 = C*gamma_4
CG_4 = (Gamma(2)*g_one);
// S_proj_unpol = (1/2)(1 + gamma_4)
SpinMatrix S_proj_unpol = 0.5 * (g_one + (g_one * Gamma(8)));
QDP::LatticeComplex b_prop;
QDP::LatticePropagator di_quark;
if(! baryon.compare("OmegaX")){
// Omega_x - this esentially is degenerate (s C\gamma_1 s)s
// C gamma_1 = Gamma(10) * Gamma(1) = Gamma(11)
di_quark = QDP::quarkContract13(psiS * CG_1, CG_1 * psiS);
b_prop = QDP::trace(S_proj_unpol * QDP::traceColor(psiS * QDP::traceSpin(di_quark)))
+ 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * di_quark));
} else if (! baryon.compare("OmegaY")){
// Omega_x - this esentially is degenerate (s C\gamma_3 s)s
// C gamma_1 = Gamma(10) * Gamma(2) = Gamma(8)
di_quark = QDP::quarkContract13(psiS * CG_2, CG_2 * psiS);
b_prop = QDP::trace(S_proj_unpol * QDP::traceColor(psiS * QDP::traceSpin(di_quark)))
+ 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * di_quark));
} else if (! baryon.compare("OmegaZ")){
// Omega_x - this esentially is degenerate (s C\gamma_3 s)s
// C gamma_1 = Gamma(10) * Gamma(4) = Gamma(14)
di_quark = QDP::quarkContract13(psiS * CG_3, CG_3 * psiS);
b_prop = QDP::trace(S_proj_unpol * QDP::traceColor(psiS * QDP::traceSpin(di_quark)))
+ 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * di_quark));
} else if (! baryon.compare("Proton")){
// Proton - this esentially is degenerate (d C\gamma_5 u)u
// This is how the UKHadron code is written - diquarks are swapped when compared to coment above code.
//di_quark = QDP::quarkContract13(psiU * C_5, C_5 * psiD);
di_quark = QDP::quarkContract13(psiD * C_5, C_5 * psiU);
b_prop = QDP::trace(S_proj_unpol * QDP::traceColor(psiU * QDP::traceSpin(di_quark)))
+ QDP::trace(S_proj_unpol * QDP::traceColor(psiU * di_quark));
} else if (! baryon.compare("Lambda")){
// Lambda (octet) - This is the totally antisymmetric
// one from the middle of the octet
// Lambda - (d C\gamma_5 s)u - (u C\gamma_5 s)d
// This is given by:
// 1/3[ <us>d + <ds>u + 4<ud>s - (usd) - (dsu) + 2(sud) + 2(sdu) + 2(uds) + 2(dus) ]
/* This is how the UKHadron code is written - diquarks are swapped when compared to coments above code.
// This gives <us>d - (usd) -- yes
di_quark = QDP::quarkContract13(psiU * C_5, C_5 * psiS);
b_prop = QDP::trace(S_proj_unpol * QDP::traceColor(psiD * QDP::traceSpin(di_quark)))
- QDP::trace(S_proj_unpol * QDP::traceColor(psiD * di_quark));
// This gives <ds>u - (dsu) -- yes
di_quark = quarkContract13(psiD * C_5,C_5 * psiS);
b_prop += QDP::trace(S_proj_unpol * QDP::traceColor(psiU * QDP::traceSpin(di_quark)))
- QDP::trace(S_proj_unpol * QDP::traceColor(psiU * di_quark));
// This gives 4<ud>s -- yes
di_quark = quarkContract13(psiU * C_5,C_5 * psiD);
b_prop += 4.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * QDP::traceSpin(di_quark)));
//This gives 2(sud) -- yes
di_quark = quarkContract13(psiS * C_5,C_5 * psiU);
b_prop += 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiD * di_quark));
// This gives 2(sdu) -- yes
di_quark = quarkContract13(psiS * C_5,C_5 * psiD);
b_prop += 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiU * di_quark));
// This gives 2(uds) -- yes
di_quark = quarkContract13(psiU * C_5,C_5 * psiD);
b_prop += 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * di_quark));
// This gives 2(dus) -- yes
di_quark = quarkContract13(psiD * C_5,C_5 * psiU);
b_prop += 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * di_quark));*/
// This gives <us>d - (usd) -- yes
di_quark = QDP::quarkContract13(psiS * C_5, C_5 * psiU);
b_prop = QDP::trace(S_proj_unpol * QDP::traceColor(psiD * QDP::traceSpin(di_quark)))
- QDP::trace(S_proj_unpol * QDP::traceColor(psiD * di_quark));
// This gives <ds>u - (dsu) -- yes
di_quark = quarkContract13(psiS * C_5,C_5 * psiD);
b_prop += QDP::trace(S_proj_unpol * QDP::traceColor(psiU * QDP::traceSpin(di_quark)))
- QDP::trace(S_proj_unpol * QDP::traceColor(psiU * di_quark));
// This gives 4<ud>s -- yes
di_quark = quarkContract13(psiD * C_5,C_5 * psiU);
b_prop += 4.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * QDP::traceSpin(di_quark)));
//This gives 2(sud) -- yes
di_quark = quarkContract13(psiU * C_5,C_5 * psiS);
b_prop += 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiD * di_quark));
// This gives 2(sdu) -- yes
di_quark = quarkContract13(psiD * C_5,C_5 * psiS);
b_prop += 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiU * di_quark));
// This gives 2(uds) -- yes
di_quark = quarkContract13(psiD * C_5,C_5 * psiU);
b_prop += 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * di_quark));
// This gives 2(dus) -- yes
di_quark = quarkContract13(psiU * C_5,C_5 * psiD);
b_prop += 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * di_quark));
} else {
std::cout << "baryon not part of test " << std::endl;
return;
}
std::cout<< "Chroma computing " << baryon << std::endl;
Chroma::SftMom phases(0,true,3); //How do I circumvent this? sliceSum equivalent?
QDP::multi2d<DComplex> hsum;
hsum = phases.sft(b_prop);
int length = phases.numSubsets();
res.resize(length);
for(int t = 0; t < length; ++t){
res[t] = hsum[0][t]; //Should I test momentum?
}
}
void calc_grid(Grid::LatticeGaugeField &Umu, Grid::LatticePropagator &qU, Grid::LatticePropagator &qD, Grid::LatticePropagator &qS, std::vector<Grid::Complex> &res, std::string baryon)
{
using namespace Grid;
using namespace Grid::QCD;
Grid::GridCartesian *UGrid = (Grid::GridCartesian *)Umu.Grid();
Grid::Gamma G_A = Grid::Gamma(Grid::Gamma::Algebra::Identity);
Grid::Gamma G_B = Grid::Gamma(Grid::Gamma::Algebra::GammaZGamma5); // OmegaX: C*GammaX = i* GammaZ*Gamma5
Grid::LatticeComplex c(UGrid);
Grid::LatticeComplex c1(UGrid);
if(! baryon.compare("OmegaX")){
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qS,qS,qS,G_A,G_B,G_A,G_B,"sss","sss",1,c);
c*=0.5;
std::cout << "Grid-Omega factor 2 larger than Chroma-Omega!!!" << std::endl;
} else if (! baryon.compare("OmegaY")){
G_B = Grid::Gamma(Grid::Gamma::Algebra::GammaT);
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qS,qS,qS,G_A,G_B,G_A,G_B,"sss","sss",1,c);
c*=0.5;
std::cout << "Grid-Omega factor 2 larger than Chroma-Omega!!!" << std::endl;
} else if (! baryon.compare("OmegaZ")){
G_B = Grid::Gamma(Grid::Gamma::Algebra::GammaXGamma5);
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qS,qS,qS,G_A,G_B,G_A,G_B,"sss","sss",1,c);
c*=0.5;
std::cout << "Grid-Omega factor 2 larger than Chroma-Omega!!!" << std::endl;
} else if (! baryon.compare("Proton")){
G_B = Grid::Gamma(Grid::Gamma::Algebra::SigmaXZ);
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qU,qD,qU,G_A,G_B,G_A,G_B,"udu","udu",1,c);
std::cout << "UKHadron-Proton has flipped diquarks in original code." << std::endl;
} else if (! baryon.compare("Lambda")){
G_B = Grid::Gamma(Grid::Gamma::Algebra::SigmaXZ);
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qS,qU,qD,G_A,G_B,G_A,G_B,"sud","sud",1,c1); //<ud>s
c = 4.*c1;
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qD,qU,qS,G_A,G_B,G_A,G_B,"dus","dus",1,c1); //<us>d
c += c1;
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qU,qD,qS,G_A,G_B,G_A,G_B,"uds","uds",1,c1); //<ds>u
c += c1;
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qD,qU,qS,G_A,G_B,G_A,G_B,"dus","sud",1,c1); //(sud)
c += 2.*c1;
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qU,qD,qS,G_A,G_B,G_A,G_B,"uds","sud",1,c1); //(sdu)
c -= 2.*c1;
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qS,qU,qD,G_A,G_B,G_A,G_B,"sud","dus",1,c1); //(dus)
c += 2.*c1;
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qU,qD,qS,G_A,G_B,G_A,G_B,"uds","dus",1,c1); //-(dsu)
c -= c1;
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qS,qU,qD,G_A,G_B,G_A,G_B,"sud","uds",1,c1); //(uds)
c -= 2.*c1;
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qD,qU,qS,G_A,G_B,G_A,G_B,"dus","uds",1,c1); //-(usd)
c -= c1;
std::cout << "UKHadron-Lambda has flipped diquarks in original code." << std::endl;
} else {
std::cout << "baryon not part of test " << std::endl;
return;
}
std::cout<< "Grid computing " << baryon << std::endl;
std::vector<Grid::TComplex> buf;
Grid::sliceSum(c,buf,Grid::Nd-1);
res.resize(buf.size());
for (unsigned int t = 0; t < buf.size(); ++t)
{
res[t]=Grid::TensorRemove(buf[t]);
}
}
int main(int argc, char **argv)
{
/********************************************************
* Setup QDP
*********************************************************/
Chroma::initialize(&argc, &argv);
Chroma::WilsonTypeFermActs4DEnv::registerAll();
/********************************************************
* Setup Grid
*********************************************************/
Grid::Grid_init(&argc, &argv);
Grid::GridCartesian *UGrid = Grid::SpaceTimeGrid::makeFourDimGrid(Grid::GridDefaultLatt(),
Grid::GridDefaultSimd(Grid::Nd, Grid::vComplex::Nsimd()),
Grid::GridDefaultMpi());
Grid::Coordinate gd = UGrid->GlobalDimensions();
QDP::multi1d<int> nrow(QDP::Nd);
for (int mu = 0; mu < 4; mu++)
nrow[mu] = gd[mu];
QDP::Layout::setLattSize(nrow);
QDP::Layout::create();
GaugeField Ug(UGrid);
typedef Grid::LatticePropagator PropagatorField;
PropagatorField up(UGrid);
PropagatorField down(UGrid);
PropagatorField strange(UGrid);
std::vector<ComplexD> res_chroma;
std::vector<Grid::Complex> res_grid;
Grid::Complex res_chroma_g;
std::vector<std::string> baryons({"OmegaX","OmegaY","OmegaZ","Proton","Lambda"});
int nBaryon=baryons.size();
for (int iB = 0; iB < nBaryon; iB++)
{
make_gauge(Ug, up, down, strange); // fills the gauge field and the propagator with random numbers
calc_chroma(Ug, up, down, strange, res_chroma,baryons[iB]);
for(int t=0;t<res_chroma.size();t++){
std::cout << " Chroma baryon "<<t<<" "<< res_chroma[t] << std::endl;
}
calc_grid(Ug, up, down, strange, res_grid,baryons[iB]);
for(int t=0;t<res_chroma.size();t++){
std::cout << " Grid baryon "<<t<<" "<< res_grid[t] << std::endl;
}
for(int t=0;t<res_chroma.size();t++){
res_chroma_g = Grid::Complex(toDouble(real(res_chroma[t])), toDouble(imag(res_chroma[t])));
std::cout << " Difference "<<t<<" "<< res_chroma_g - res_grid[t] << std::endl;
}
std::cout << "Finished test " << std::endl;
}
Chroma::finalize();
}