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continued work on baryons

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This commit is contained in:
Felix Erben 2019-07-09 17:30:32 +01:00
parent 3848da7c50
commit cc3346073e
1 changed files with 28 additions and 7 deletions
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35
Hadrons/Modules/MContraction/Nucleon.hpp
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@ -134,10 +134,11 @@ void TNucleon<FImpl1, FImpl2, FImpl3>::execute(void)
// C = i gamma_2 gamma_4 => C gamma_5 = - i gamma_1 gamma_3
Gamma Cg5(Gamma::Algebra::SigmaXZ);
Gamma g4(Gamma::Algebra::GammaT);
Gamma g4(Gamma::Algebra::GammaT); //needed for parity P_\pm = 0.5*(1 \pm \gamma_4)
std::vector<std::vector<int>> epsilon = {{0,1,2},{1,2,0},{2,0,1},{0,2,1},{2,1,0},{1,0,2}};
std::vector<int> epsilon_sgn = {1,1,1,-1,-1,-1};
// This is the \delta_{123}^{123} part
for (int ie_src=0; ie_src < 6 ; ie_src++){
int c1_src = epsilon[ie_src][0];
int c2_src = epsilon[ie_src][1];
@ -146,18 +147,38 @@ void TNucleon<FImpl1, FImpl2, FImpl3>::execute(void)
int c1_snk = epsilon[ie_snk][0];
int c2_snk = epsilon[ie_snk][1];
int c3_snk = epsilon[ie_snk][2];
auto f1 = peekColour(q1,c1_snk,c1_src);
auto f2 = peekColour(q2,c2_snk,c2_src);
auto f3 = peekColour(q3,c3_snk,c3_src);
diquark = trace(f2 * Cg5 * f3);
//diquark = q2()()(c2,1) * Cg5 * q3()()(c3,2);
auto temp = Cg5 * f1 * diquark;
auto Dcc = peekColour(q1,c1_snk,c1_src); //D_{gamma' gamma}
auto Daa = peekColour(q2,c2_snk,c2_src); //D_{alpha' alpha}
auto Dbb = peekColour(q3,c3_snk,c3_src); //D_{beta' beta}
diquark = trace(Cg5 * Daa * Cg5 * Dbb); //Daa transposed????
//diquark = q2()()(c2,1) * Cg5 * q3()()(c3,2); //Why does this not work??
auto temp = Dcc * diquark;
auto g4_temp = g4 * temp;
int parity = 1;
c += epsilon_sgn[ie_src] * epsilon_sgn[ie_snk] * 0.5 * (double)parity * trace(temp + g4_temp);
}
}
// This is the \delta_{123}^{213} part
for (int ie_src=0; ie_src < 6 ; ie_src++){
int c1_src = epsilon[ie_src][0];
int c2_src = epsilon[ie_src][1];
int c3_src = epsilon[ie_src][2];
for (int ie_snk=0; ie_snk < 6 ; ie_snk++){
int c1_snk = epsilon[ie_snk][0];
int c2_snk = epsilon[ie_snk][1];
int c3_snk = epsilon[ie_snk][2];
auto Dca = peekColour(q1,c1_snk,c2_src); //D_{gamma' alpha}
auto Dac = peekColour(q2,c2_snk,c1_src); //D_{alpha' gamma}
auto Dbb = peekColour(q3,c3_snk,c3_src); //D_{beta' beta}
auto temp = Dca * Cg5 * Dbb * Cg5 * Dac; //(Dbb*Cg5) transposed???
auto g4_temp = g4 * temp;
int parity = 1;
c -= epsilon_sgn[ie_src] * epsilon_sgn[ie_snk] * 0.5 * (double)parity * trace(temp + g4_temp);
}
}
// saveResult(par().output, "meson", result);
}