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Grid/lib/qcd/action/fermion/WilsonCloverFermion.h
Guido Cossu 8e057721a9 Anisotropic Clover term written and tested
2017-11-01 12:50:54 +00:00

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/action/fermion/WilsonCloverFermion.h
Copyright (C) 2017
Author: Guido Cossu <guido.cossu@ed.ac.uk>
Author: David Preti <>
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 */
#ifndef GRID_QCD_WILSON_CLOVER_FERMION_H
#define GRID_QCD_WILSON_CLOVER_FERMION_H
#include <Grid/Grid.h>
namespace Grid
{
namespace QCD
{
///////////////////////////////////////////////////////////////////
// Wilson Clover
//
// Operator ( with anisotropy coefficients):
//
// Q = 1 + (Nd-1)/xi_0 + m
// + W_t + (nu/xi_0) * W_s
// - 1/2*[ csw_t * sum_s (sigma_ts F_ts) + (csw_s/xi_0) * sum_ss (sigma_ss F_ss) ]
//
// s spatial, t temporal directions.
// where W_t and W_s are the temporal and spatial components of the
// Wilson Dirac operator
//
// csw_r = csw_t to recover the isotropic version
//////////////////////////////////////////////////////////////////
template <class Impl>
class WilsonCloverFermion : public WilsonFermion<Impl>
{
public:
// Types definitions
INHERIT_IMPL_TYPES(Impl);
template <typename vtype>
using iImplClover = iScalar<iMatrix<iMatrix<vtype, Impl::Dimension>, Ns>>;
typedef iImplClover<Simd> SiteCloverType;
typedef Lattice<SiteCloverType> CloverFieldType;
public:
typedef WilsonFermion<Impl> WilsonBase;
virtual void Instantiatable(void){};
// Constructors
WilsonCloverFermion(GaugeField &_Umu, GridCartesian &Fgrid,
GridRedBlackCartesian &Hgrid,
const RealD _mass,
const RealD _csw_r = 0.0,
const RealD _csw_t = 0.0,
const WilsonAnisotropyCoefficients &clover_anisotropy = WilsonAnisotropyCoefficients(),
const ImplParams &impl_p = ImplParams()) : WilsonFermion<Impl>(_Umu,
Fgrid,
Hgrid,
_mass, impl_p, clover_anisotropy),
CloverTerm(&Fgrid),
CloverTermInv(&Fgrid),
CloverTermEven(&Hgrid),
CloverTermOdd(&Hgrid),
CloverTermInvEven(&Hgrid),
CloverTermInvOdd(&Hgrid),
CloverTermDagEven(&Hgrid),
CloverTermDagOdd(&Hgrid),
CloverTermInvDagEven(&Hgrid),
CloverTermInvDagOdd(&Hgrid)
{
assert(Nd == 4); // require 4 dimensions
if (clover_anisotropy.isAnisotropic)
{
csw_r = _csw_r * 0.5 / clover_anisotropy.xi_0;
diag_mass = _mass + 1.0 + (Nd - 1) * (clover_anisotropy.nu / clover_anisotropy.xi_0);
}
else
{
csw_r = _csw_r * 0.5;
diag_mass = 4.0 + _mass;
}
csw_t = _csw_t * 0.5;
if (csw_r == 0)
std::cout << GridLogWarning << "Initializing WilsonCloverFermion with csw_r = 0" << std::endl;
if (csw_t == 0)
std::cout << GridLogWarning << "Initializing WilsonCloverFermion with csw_t = 0" << std::endl;
ImportGauge(_Umu);
}
virtual RealD M(const FermionField &in, FermionField &out);
virtual RealD Mdag(const FermionField &in, FermionField &out);
virtual void Mooee(const FermionField &in, FermionField &out);
virtual void MooeeDag(const FermionField &in, FermionField &out);
virtual void MooeeInv(const FermionField &in, FermionField &out);
virtual void MooeeInvDag(const FermionField &in, FermionField &out);
virtual void MooeeInternal(const FermionField &in, FermionField &out, int dag, int inv);
//virtual void MDeriv(GaugeField &mat, const FermionField &U, const FermionField &V, int dag);
virtual void MooDeriv(GaugeField &mat, const FermionField &U, const FermionField &V, int dag);
virtual void MeeDeriv(GaugeField &mat, const FermionField &U, const FermionField &V, int dag);
void ImportGauge(const GaugeField &_Umu);
// Derivative parts unpreconditioned pseudofermions
void MDeriv(GaugeField &force, const FermionField &X, const FermionField &Y, int dag)
{
conformable(X._grid, Y._grid);
conformable(X._grid, force._grid);
GaugeLinkField force_mu(force._grid), lambda(force._grid);
GaugeField clover_force(force._grid);
PropagatorField Lambda(force._grid);
// Guido: Here we are hitting some performance issues:
// need to extract the components of the DoubledGaugeField
// for each call
// Possible solution
// Create a vector object to store them? (cons: wasting space)
std::vector<GaugeLinkField> U(Nd, this->Umu._grid);
Impl::extractLinkField(U, this->Umu);
force = zero;
// Derivative of the Wilson hopping term
this->DhopDeriv(force, X, Y, dag);
///////////////////////////////////////////////////////////
// Clover term derivative
///////////////////////////////////////////////////////////
Impl::outerProductImpl(Lambda, X, Y);
//std::cout << "Lambda:" << Lambda << std::endl;
Gamma::Algebra sigma[] = {
Gamma::Algebra::SigmaXY,
Gamma::Algebra::SigmaXZ,
Gamma::Algebra::SigmaXT,
Gamma::Algebra::MinusSigmaXY,
Gamma::Algebra::SigmaYZ,
Gamma::Algebra::SigmaYT,
Gamma::Algebra::MinusSigmaXZ,
Gamma::Algebra::MinusSigmaYZ,
Gamma::Algebra::SigmaZT,
Gamma::Algebra::MinusSigmaXT,
Gamma::Algebra::MinusSigmaYT,
Gamma::Algebra::MinusSigmaZT};
/*
sigma_{\mu \nu}=
| 0 sigma[0] sigma[1] sigma[2] |
| sigma[3] 0 sigma[4] sigma[5] |
| sigma[6] sigma[7] 0 sigma[8] |
| sigma[9] sigma[10] sigma[11] 0 |
*/
int count = 0;
clover_force = zero;
for (int mu = 0; mu < 4; mu++)
{
force_mu = zero;
for (int nu = 0; nu < 4; nu++)
{
if (mu == nu)
continue;
RealD factor;
if (nu == 4 || mu == 4)
{
factor = 2.0 * csw_t;
}
else
{
factor = 2.0 * csw_r;
}
PropagatorField Slambda = Gamma(sigma[count]) * Lambda; // sigma checked
Impl::TraceSpinImpl(lambda, Slambda); // traceSpin ok
force_mu -= factor*Cmunu(U, lambda, mu, nu); // checked
count++;
}
pokeLorentz(clover_force, U[mu] * force_mu, mu);
}
//clover_force *= csw;
force += clover_force;
}
// Computing C_{\mu \nu}(x) as in Eq.(B.39) in Zbigniew Sroczynski's PhD thesis
GaugeLinkField Cmunu(std::vector<GaugeLinkField> &U, GaugeLinkField &lambda, int mu, int nu)
{
conformable(lambda._grid, U[0]._grid);
GaugeLinkField out(lambda._grid), tmp(lambda._grid);
// insertion in upper staple
// please check redundancy of shift operations
// C1+
tmp = lambda * U[nu];
out = Impl::ShiftStaple(Impl::CovShiftForward(tmp, nu, Impl::CovShiftBackward(U[mu], mu, Impl::CovShiftIdentityBackward(U[nu], nu))), mu);
// C2+
tmp = U[mu] * Impl::ShiftStaple(adj(lambda), mu);
out += Impl::ShiftStaple(Impl::CovShiftForward(U[nu], nu, Impl::CovShiftBackward(tmp, mu, Impl::CovShiftIdentityBackward(U[nu], nu))), mu);
// C3+
tmp = U[nu] * Impl::ShiftStaple(adj(lambda), nu);
out += Impl::ShiftStaple(Impl::CovShiftForward(U[nu], nu, Impl::CovShiftBackward(U[mu], mu, Impl::CovShiftIdentityBackward(tmp, nu))), mu);
// C4+
out += Impl::ShiftStaple(Impl::CovShiftForward(U[nu], nu, Impl::CovShiftBackward(U[mu], mu, Impl::CovShiftIdentityBackward(U[nu], nu))), mu) * lambda;
// insertion in lower staple
// C1-
out -= Impl::ShiftStaple(lambda, mu) * Impl::ShiftStaple(Impl::CovShiftBackward(U[nu], nu, Impl::CovShiftBackward(U[mu], mu, U[nu])), mu);
// C2-
tmp = adj(lambda) * U[nu];
out -= Impl::ShiftStaple(Impl::CovShiftBackward(tmp, nu, Impl::CovShiftBackward(U[mu], mu, U[nu])), mu);
// C3-
tmp = lambda * U[nu];
out -= Impl::ShiftStaple(Impl::CovShiftBackward(U[nu], nu, Impl::CovShiftBackward(U[mu], mu, tmp)), mu);
// C4-
out -= Impl::ShiftStaple(Impl::CovShiftBackward(U[nu], nu, Impl::CovShiftBackward(U[mu], mu, U[nu])), mu) * lambda;
return out;
}
private:
// here fixing the 4 dimensions, make it more general?
RealD csw_r; // Clover coefficient - spatial
RealD csw_t; // Clover coefficient - temporal
RealD diag_mass; // Mass term
CloverFieldType CloverTerm, CloverTermInv; // Clover term
CloverFieldType CloverTermEven, CloverTermOdd; // Clover term EO
CloverFieldType CloverTermInvEven, CloverTermInvOdd; // Clover term Inv EO
CloverFieldType CloverTermDagEven, CloverTermDagOdd; // Clover term Dag EO
CloverFieldType CloverTermInvDagEven, CloverTermInvDagOdd; // Clover term Inv Dag EO
// eventually these can be compressed into 6x6 blocks instead of the 12x12
// using the DeGrand-Rossi basis for the gamma matrices
CloverFieldType fillCloverYZ(const GaugeLinkField &F)
{
CloverFieldType T(F._grid);
T = zero;
PARALLEL_FOR_LOOP
for (int i = 0; i < CloverTerm._grid->oSites(); i++)
{
T._odata[i]()(0, 1) = timesMinusI(F._odata[i]()());
T._odata[i]()(1, 0) = timesMinusI(F._odata[i]()());
T._odata[i]()(2, 3) = timesMinusI(F._odata[i]()());
T._odata[i]()(3, 2) = timesMinusI(F._odata[i]()());
}
return T;
}
CloverFieldType fillCloverXZ(const GaugeLinkField &F)
{
CloverFieldType T(F._grid);
T = zero;
PARALLEL_FOR_LOOP
for (int i = 0; i < CloverTerm._grid->oSites(); i++)
{
T._odata[i]()(0, 1) = -F._odata[i]()();
T._odata[i]()(1, 0) = F._odata[i]()();
T._odata[i]()(2, 3) = -F._odata[i]()();
T._odata[i]()(3, 2) = F._odata[i]()();
}
return T;
}
CloverFieldType fillCloverXY(const GaugeLinkField &F)
{
CloverFieldType T(F._grid);
T = zero;
PARALLEL_FOR_LOOP
for (int i = 0; i < CloverTerm._grid->oSites(); i++)
{
T._odata[i]()(0, 0) = timesMinusI(F._odata[i]()());
T._odata[i]()(1, 1) = timesI(F._odata[i]()());
T._odata[i]()(2, 2) = timesMinusI(F._odata[i]()());
T._odata[i]()(3, 3) = timesI(F._odata[i]()());
}
return T;
}
CloverFieldType fillCloverXT(const GaugeLinkField &F)
{
CloverFieldType T(F._grid);
T = zero;
PARALLEL_FOR_LOOP
for (int i = 0; i < CloverTerm._grid->oSites(); i++)
{
T._odata[i]()(0, 1) = timesI(F._odata[i]()());
T._odata[i]()(1, 0) = timesI(F._odata[i]()());
T._odata[i]()(2, 3) = timesMinusI(F._odata[i]()());
T._odata[i]()(3, 2) = timesMinusI(F._odata[i]()());
}
return T;
}
CloverFieldType fillCloverYT(const GaugeLinkField &F)
{
CloverFieldType T(F._grid);
T = zero;
PARALLEL_FOR_LOOP
for (int i = 0; i < CloverTerm._grid->oSites(); i++)
{
T._odata[i]()(0, 1) = -(F._odata[i]()());
T._odata[i]()(1, 0) = (F._odata[i]()());
T._odata[i]()(2, 3) = (F._odata[i]()());
T._odata[i]()(3, 2) = -(F._odata[i]()());
}
return T;
}
CloverFieldType fillCloverZT(const GaugeLinkField &F)
{
CloverFieldType T(F._grid);
T = zero;
PARALLEL_FOR_LOOP
for (int i = 0; i < CloverTerm._grid->oSites(); i++)
{
T._odata[i]()(0, 0) = timesI(F._odata[i]()());
T._odata[i]()(1, 1) = timesMinusI(F._odata[i]()());
T._odata[i]()(2, 2) = timesMinusI(F._odata[i]()());
T._odata[i]()(3, 3) = timesI(F._odata[i]()());
}
return T;
}
};
}
}
#endif // GRID_QCD_WILSON_CLOVER_FERMION_H
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