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Ward Identity test improvements and conserved current bug fixes

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This commit is contained in:
Lanny91
2017-06-05 11:55:41 +01:00
parent 23135aa58a
commit eec79e0a1e
3 changed files with 42 additions and 24 deletions
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35
extras/Hadrons/Modules/MContraction/WardIdentity.hpp
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@ -143,6 +143,7 @@ void TWardIdentity<FImpl>::execute(void)
vector_WI += tmp;
}
// Test ward identity D_mu V_mu = 0;
LOG(Message) << "Vector Ward Identity check Delta_mu V_mu = "
<< norm2(vector_WI) << std::endl;
@ -150,28 +151,29 @@ void TWardIdentity<FImpl>::execute(void)
{
LatticeComplex PP(env().getGrid()), axial_defect(env().getGrid()),
PJ5q(env().getGrid());
std::vector<TComplex> axial_buf;
// Compute D_mu A_mu, D is backwards derivative.
// Compute <P|D_mu A_mu>, D is backwards derivative.
axial_defect = zero;
for (unsigned int mu = 0; mu < Nd; ++mu)
{
act.ContractConservedCurrent(q, q, tmp, Current::Axial, mu);
tmp -= Cshift(tmp, mu, -1);
axial_defect += trace(g5*tmp);
axial_defect += 2.*trace(g5*tmp);
}
// Get PJ5q for 5D (zero for 4D) and PP.
// Get <P|J5q> for 5D (zero for 4D) and <P|P>.
PJ5q = zero;
if (Ls_ > 1)
{
// PP
// <P|P>
ExtractSlice(tmp, q, 0, 0);
psi = (tmp - g5*tmp);
psi = 0.5 * (tmp - g5*tmp);
ExtractSlice(tmp, q, Ls_ - 1, 0);
psi += (tmp + g5*tmp);
psi += 0.5 * (tmp + g5*tmp);
PP = trace(adj(psi)*psi);
// P5Jq
// <P|5Jq>
ExtractSlice(tmp, q, Ls_/2 - 1, 0);
psi = 0.5 * (tmp + g5*tmp);
ExtractSlice(tmp, q, Ls_/2, 0);
@ -183,13 +185,22 @@ void TWardIdentity<FImpl>::execute(void)
PP = trace(adj(q)*q);
}
// Test ward identities, D_mu V_mu = 0; D_mu A_mu = 2m<PP> + 2 PJ5q
axial_defect -= 2.*PJ5q;
axial_defect -= 2.*(par().mass)*PP;
// Test ward identity <P|D_mu A_mu> = 2m<P|P> + 2<P|J5q>
LOG(Message) << "|D_mu A_mu|^2 = " << norm2(axial_defect) << std::endl;
LOG(Message) << "|PP|^2 = " << norm2(PP) << std::endl;
LOG(Message) << "|PJ5q|^2 = " << norm2(PJ5q) << std::endl;
LOG(Message) << "Axial Ward Identity defect Delta_mu A_mu = "
<< norm2(axial_defect) << std::endl;
LOG(Message) << "norm2(PP) = " << norm2(PP) << std::endl;
LOG(Message) << "norm2(PJ5q) = " << norm2(PJ5q) << std::endl;
// Axial defect by timeslice.
axial_defect -= 2.*(par().mass*PP + PJ5q);
LOG(Message) << "Check Axial defect by timeslice" << std::endl;
sliceSum(axial_defect, axial_buf, Tp);
for (int t = 0; t < axial_buf.size(); ++t)
{
LOG(Message) << "t = " << t << ": "
<< TensorRemove(axial_buf[t]) << std::endl;
}
}
}