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new utils for baryons
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155
Grid/qcd/utils/BaryonUtils.h
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155
Grid/qcd/utils/BaryonUtils.h
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#pragma once
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//#include <Grid/Hadrons/Global.hpp>
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#include <Grid/Eigen/unsupported/CXX11/Tensor>
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namespace Grid {
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namespace QCD {
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#undef DELTA_F_EQ_2
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template <typename FImpl>
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class BaryonUtils
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{
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public:
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typedef typename FImpl::ComplexField ComplexField;
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typedef typename FImpl::FermionField FermionField;
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typedef typename FImpl::PropagatorField PropagatorField;
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typedef typename FImpl::SiteSpinor vobj;
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typedef typename vobj::scalar_object sobj;
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typedef typename vobj::scalar_type scalar_type;
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typedef typename vobj::vector_type vector_type;
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static void ContractBaryons(const PropagatorField &q1,
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const PropagatorField &q2,
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const PropagatorField &q3,
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ComplexField &baryon_corr);
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};
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template<class FImpl>
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void BaryonUtils<FImpl>::ContractBaryons(const PropagatorField &q1,
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const PropagatorField &q2,
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const PropagatorField &q3,
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ComplexField &baryon_corr)
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{
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assert(gamma0.size()==gamma1.size());
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int Ng = gamma0.size();
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GridBase *grid = q1._grid;
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// C = i gamma_2 gamma_4 => C gamma_5 = - i gamma_1 gamma_3
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Gamma GammaA(Gamma::Algebra::Identity); //Still hardcoded 1
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Gamma GammaB(Gamma::Algebra::SigmaXZ); //Still hardcoded Cg5
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Gamma g4(Gamma::Algebra::GammaT); //needed for parity P_\pm = 0.5*(1 \pm \gamma_4)
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std::vector<std::vector<int>> epsilon = {{0,1,2},{1,2,0},{2,0,1},{0,2,1},{2,1,0},{1,0,2}};
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std::vector<int> epsilon_sgn = {1,1,1,-1,-1,-1};
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char left[] = "uud";
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char right[] = "uud";
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std::vector<int> wick_contraction = {0,0,0,0,0,0};
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for (int ie=0; ie < 6 ; ie++)
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if (left[0] == right[epsilon[ie][0]] && left[1] == right[epsilon[ie][1]] && left[2] == right[epsilon[ie][2]])
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wick_contraction[ie]=1;
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int parity = 1;
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parallel_for(int ss=0;ss<grid->oSites();ss++){
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typedef typename ComplexField::vector_object vobj;
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auto D1 = q1._odata[ss];
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auto D2 = q2._odata[ss];
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auto D3 = q3._odata[ss];
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auto gD1a = GammaA * GammaA * D1;
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auto gD1b = GammaA * g4 * GammaA * D1;
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auto pD1 = 0.5* (gD1a + (double)parity * dD1b);
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auto gD3 = GammaB * D3;
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vobj result=zero;
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for (int ie_src=0; ie_src < 6 ; ie_src++){
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int a_src = epsilon[ie_src][0]; //a
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int b_src = epsilon[ie_src][1]; //b
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int c_src = epsilon[ie_src][2]; //c
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for (int ie_snk=0; ie_snk < 6 ; ie_snk++){
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int a_snk = epsilon[ie_snk][0]; //a'
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int b_snk = epsilon[ie_snk][1]; //b'
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int c_snk = epsilon[ie_snk][2]; //c'
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//This is the \delta_{123}^{123} part
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if (wick_contraction[0]){
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auto D2g = D2 * GammaB;
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for (int alpha_snk=0; alpha_snk<Ns; alpha_snk++){
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for (int beta_src=0; beta_src<Ns; beta_src++){
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for (int gamma_src=0; gamma_src<Ns; gamma_src++){
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result()()() += epsilon_sgn[ie_src] * epsilon_sgn[ie_snk] * pD1()(gamma_src,gamma_src)(c_snk,c_src)*D2g()(alpha_snk,beta_src)(a_snk,a_src)*gD3()(alpha_snk,beta_src)(b_snk,b_src);
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}}}
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}
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//This is the \delta_{123}^{231} part
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if (wick_contraction[1]){
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auto pD1g = pD1 * GammaB;
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for (int alpha_snk=0; alpha_snk<Ns; alpha_snk++){
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for (int beta_src=0; beta_src<Ns; beta_src++){
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for (int gamma_src=0; gamma_src<Ns; gamma_src++){
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result()()() += epsilon_sgn[ie_src] * epsilon_sgn[ie_snk] * pD1g()(gamma_src,beta_src)(c_snk,a_src)*D2()(alpha_snk,beta_src)(a_snk,b_src)*gD3()(alpha_snk,gamma_src)(b_snk,c_src);
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}}}
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}
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//This is the \delta_{123}^{312} part
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if (wick_contraction[2]){
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auto gD3g = gD3 * GammaB;
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for (int alpha_snk=0; alpha_snk<Ns; alpha_snk++){
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for (int beta_src=0; beta_src<Ns; beta_src++){
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for (int gamma_src=0; gamma_src<Ns; gamma_src++){
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result()()() += epsilon_sgn[ie_src] * epsilon_sgn[ie_snk] * pD1()(gamma_src,beta_src)(c_snk,b_src)*D2()(alpha_snk,gamma_src)(a_snk,c_src)*gD3g()(alpha_snk,beta_src)(b_snk,a_src);
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}}}
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}
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//This is the \delta_{123}^{132} part
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if (wick_contraction[3]){
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auto gD3g = gD3 * GammaB;
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for (int alpha_snk=0; alpha_snk<Ns; alpha_snk++){
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for (int beta_src=0; beta_src<Ns; beta_src++){
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for (int gamma_src=0; gamma_src<Ns; gamma_src++){
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result()()() -= epsilon_sgn[ie_src] * epsilon_sgn[ie_snk] * pD1()(gamma_src,gamma_src)(c_snk,c_src)*D2()(alpha_snk,beta_src)(a_snk,b_src)*gD3()(alpha_snk,beta_src)(b_snk,a_src);
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}}}
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}
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//This is the \delta_{123}^{321} part
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if (wick_contraction[4]){
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auto D2g = D2 * GammaB;
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for (int alpha_snk=0; alpha_snk<Ns; alpha_snk++){
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for (int beta_src=0; beta_src<Ns; beta_src++){
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for (int gamma_src=0; gamma_src<Ns; gamma_src++){
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result()()() -= epsilon_sgn[ie_src] * epsilon_sgn[ie_snk] * pD1()(gamma_src,beta_src)(c_snk,b_src)*D2g()(alpha_snk,beta_src)(a_snk,a_src)*gD3()(alpha_snk,gamma_src)(b_snk,c_src);
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}}}
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}
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//This is the \delta_{123}^{213} part
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if (wick_contraction[5]){
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auto pD1g = pD1 * GammaB;
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for (int alpha_snk=0; alpha_snk<Ns; alpha_snk++){
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for (int beta_src=0; beta_src<Ns; beta_src++){
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for (int gamma_src=0; gamma_src<Ns; gamma_src++){
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result()()() -= epsilon_sgn[ie_src] * epsilon_sgn[ie_snk] * pD1g()(gamma_src,beta_src)(c_snk,a_src)*D2()(alpha_snk,gamma_src)(a_snk,c_src)*gD3()(alpha_snk,beta_src)(b_snk,b_src);
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}}}
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}
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if (ie_src==0 && ie_snk==0){
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baryon_corr._odata[ss] = result;
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} else {
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baryon_corr._odata[ss] += result;
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}
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}
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}
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} //end loop over lattice sites
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}
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}}
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