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Debugged HMC for Creutz relation

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This commit is contained in:
Guido Cossu
2016-07-28 16:44:41 +01:00
parent b93e18ed50
commit 089f0ab582
12 changed files with 100 additions and 35 deletions
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15
lib/qcd/representations/adjoint.h
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@ -28,6 +28,7 @@ class AdjointRep {
explicit AdjointRep(GridBase *grid) : U(grid) {}
void update_representation(const LatticeGaugeField &Uin) {
std::cout << GridLogDebug << "Updating adjoint representation\n" ;
// Uin is in the fundamental representation
// get the U in AdjointRep
// (U_adj)_B = tr[e^a U e^b U^dag]
@ -49,9 +50,18 @@ class AdjointRep {
auto U_mu = peekLorentz(U, mu);
for (int a = 0; a < Dimension; a++) {
tmp = 2.0 * adj(Uin_mu) * ta[a] * Uin_mu;
for (int b = 0; b < (ncolour * ncolour - 1); b++)
for (int b = 0; b < Dimension; b++)
pokeColour(U_mu, trace(tmp * ta[b]), a, b);
}
// Check matrix U_mu, must be real orthogonal
//reality
LatticeMatrix Ucheck = U_mu - conjugate(U_mu);
std::cout << GridLogMessage << "Reality check: " << norm2(Ucheck) << std::endl;
LatticeMatrix uno(Uin._grid);
uno = 1.0;
Ucheck = U_mu * adj(U_mu) - uno;
std::cout << GridLogMessage << "orthogonality check: " << norm2(Ucheck) << std::endl;
pokeLorentz(U, U_mu, mu);
}
}
@ -59,6 +69,7 @@ class AdjointRep {
LatticeGaugeField RtoFundamentalProject(const LatticeField &in,
Real scale = 1.0) const {
LatticeGaugeField out(in._grid);
out = zero;
for (int mu = 0; mu < Nd; mu++) {
LatticeColourMatrix out_mu(in._grid); // fundamental representation
@ -70,6 +81,8 @@ class AdjointRep {
projectOnAlgebra(h, in_mu, scale);
FundamentalLieAlgebraMatrix(h, out_mu, 1.0); // apply scale only once
pokeLorentz(out, out_mu, mu);
// Returns traceless antihermitian matrix Nc * Nc.
// Confirmed
}
return out;
}