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Full clover force correct

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This commit is contained in:
Guido Cossu
2017-10-29 12:03:08 +00:00
parent f941c4ee18
commit 749189fd72
3 changed files with 15 additions and 116 deletions
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123
tests/forces/Test_wilsonclover_force.cc
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@@ -48,13 +48,12 @@ int main(int argc, char **argv)
std::vector<int> seeds({1, 2, 30, 50});
GridParallelRNG pRNG(&Grid);
std::vector<int> vrand(4);
std::srand(std::time(0));
std::generate(vrand.begin(), vrand.end(), std::rand);
std::cout << GridLogMessage << vrand << std::endl;
pRNG.SeedFixedIntegers(vrand);
//pRNG.SeedFixedIntegers(seeds);
LatticeFermion phi(&Grid);
@@ -64,50 +63,14 @@ int main(int argc, char **argv)
LatticeGaugeField U(&Grid);
/*
std::vector<int> x(4); // 4d fermions
std::vector<int> gd = Grid.GlobalDimensions();
Grid::QCD::SpinColourVector F;
Grid::Complex c;
phi = zero;
for (x[0] = 0; x[0] < 1; x[0]++)
{
for (x[1] = 0; x[1] < 1; x[1]++)
{
for (x[2] = 0; x[2] < 1; x[2]++)
{
for (x[3] = 0; x[3] < 1; x[3]++)
{
for (int sp = 0; sp < 4; sp++)
{
for (int j = 0; j < 3; j++) // colours
{
F()(sp)(j) = Grid::Complex(0.0,0.0);
if (((sp == 0) && (j==0)))
{
c = Grid::Complex(1.0, 0.0);
F()(sp)(j) = c;
}
}
}
Grid::pokeSite(F, phi, x);
}
}
}
}
*/
std::vector<int> site = {0, 0, 0, 0};
SU3::HotConfiguration(pRNG, U);
//SU3::ColdConfiguration(pRNG, U);
//SU3::ColdConfiguration(pRNG, U);// Clover term zero
////////////////////////////////////
// Unmodified matrix element
////////////////////////////////////
RealD mass = -4.0; //kills the diagonal term
RealD mass = 0.1;
Real csw = 1.0;
WilsonCloverFermionR Dw(U, Grid, RBGrid, mass, csw);
Dw.ImportGauge(U);
@@ -125,103 +88,42 @@ int main(int argc, char **argv)
UdSdU += tmp;
/////////////////////////////////////////////
// Take the traceless antihermitian component
//UdSdU = Ta(UdSdU);
//std::cout << UdSdU << std::endl;
//SU3::LatticeAlgebraVector hforce(&Grid);
LatticeColourMatrix mommu(&Grid);
//mommu = PeekIndex<LorentzIndex>(UdSdU, 0);
//SU3::projectOnAlgebra(hforce, mommu);
//std::cout << hforce << std::endl;
////////////////////////////////////
// Modify the gauge field a little
////////////////////////////////////
RealD dt = 0.0001;
RealD dt = 0.00005;
RealD Hmom = 0.0;
RealD Hmomprime = 0.0;
RealD Hmompp = 0.0;
LatticeColourMatrix mommu(&Grid);
LatticeColourMatrix forcemu(&Grid);
LatticeGaugeField mom(&Grid);
LatticeGaugeField Uprime(&Grid);
for (int mu = 0; mu < Nd; mu++) {
for (int mu = 0; mu < Nd; mu++)
{
// Traceless antihermitian momentum; gaussian in lie alg
SU3::GaussianFundamentalLieAlgebraMatrix(pRNG, mommu);
Hmom -= real(sum(trace(mommu * mommu)));
PokeIndex<LorentzIndex>(mom, mommu, mu);
}
/*
SU3::AlgebraVector h;
SU3::LatticeAlgebraVector hl(&Grid);
h()()(0) = 1.0;
hl = zero;
pokeSite(h, hl, site);
SU3::FundamentalLieAlgebraMatrix(hl, mommu);
mom = zero;
PokeIndex<LorentzIndex>(mom, mommu, 0);
Hmom -= real(sum(trace(mommu * mommu)));
*/
/*
parallel_for(int ss=0;ss<mom._grid->oSites();ss++){
for (int mu = 0; mu < Nd; mu++)
Uprime[ss]._internal[mu] = ProjectOnGroup(Exponentiate(mom[ss]._internal[mu], dt, 12) * U[ss]._internal[mu]);
}
*/
for (int mu = 0; mu < Nd; mu++)
{
parallel_for(auto i = mom.begin(); i < mom.end(); i++)
parallel_for(int ss = 0; ss < mom._grid->oSites(); ss++)
{
Uprime[i](mu) = U[i](mu);
Uprime[i](mu) += mom[i](mu) * U[i](mu) * dt;
Uprime[i](mu) += mom[i](mu) * mom[i](mu) * U[i](mu) * (dt * dt / 2.0);
Uprime[i](mu) += mom[i](mu) * mom[i](mu) * mom[i](mu) * U[i](mu) * (dt * dt * dt / 6.0);
Uprime[i](mu) += mom[i](mu) * mom[i](mu) * mom[i](mu) * mom[i](mu) * U[i](mu) * (dt * dt * dt * dt / 24.0);
Uprime[i](mu) += mom[i](mu) * mom[i](mu) * mom[i](mu) * mom[i](mu) * mom[i](mu) * U[i](mu) * (dt * dt * dt * dt * dt / 120.0);
Uprime[i](mu) += mom[i](mu) * mom[i](mu) * mom[i](mu) * mom[i](mu) * mom[i](mu) * mom[i](mu) * U[i](mu) * (dt * dt * dt * dt * dt * dt / 720.0);
Uprime[ss]._internal[mu] = ProjectOnGroup(Exponentiate(mom[ss]._internal[mu], dt, 12) * U[ss]._internal[mu]);
}
}
std::cout << GridLogMessage << "Initial mom hamiltonian is " << Hmom << std::endl;
// New action
LatticeGaugeField diff(&Grid);
diff = Uprime - U;
//std::cout << "Diff:" << diff << std::endl;
Dw.ImportGauge(Uprime);
Dw.M(phi, MphiPrime);
LatticeFermion DiffFermion(&Grid);
DiffFermion = MphiPrime - Mphi;
//std::cout << "DiffFermion:" << DiffFermion << std::endl;
//std::cout << "Mphi:" << Mphi << std::endl;
//std::cout << "MphiPrime:" << MphiPrime << std::endl;
ComplexD Sprime = innerProduct(MphiPrime, MphiPrime);
//////////////////////////////////////////////
// Use derivative to estimate dS
//////////////////////////////////////////////
///////////////////////////////////////////////////////
std::cout << GridLogMessage << "Antihermiticity tests - 1 " << std::endl;
for (int mu = 0; mu < Nd; mu++)
{
mommu = PeekIndex<LorentzIndex>(mom, mu);
std::cout << GridLogMessage << " Mommu " << norm2(mommu) << std::endl;
mommu = mommu + adj(mommu);
std::cout << GridLogMessage << " Test: Mommu + Mommudag " << norm2(mommu) << std::endl;
mommu = PeekIndex<LorentzIndex>(UdSdU, mu);
std::cout << GridLogMessage << " dsdumu " << norm2(mommu) << std::endl;
mommu = mommu + adj(mommu);
std::cout << GridLogMessage << " Test: dsdumu + dag " << norm2(mommu) << std::endl;
std::cout << "" << std::endl;
}
////////////////////////////////////////////////////////
LatticeComplex dS(&Grid);
dS = zero;
LatticeComplex dSmom(&Grid);
@@ -229,7 +131,6 @@ int main(int argc, char **argv)
LatticeComplex dSmom2(&Grid);
dSmom2 = zero;
for (int mu = 0; mu < Nd; mu++)
{
mommu = PeekIndex<LorentzIndex>(UdSdU, mu); // P_mu =
@@ -237,7 +138,7 @@ int main(int argc, char **argv)
PokeIndex<LorentzIndex>(UdSdU, mommu, mu); // UdSdU_mu = Mom
}
std::cout << GridLogMessage << "Antihermiticity tests - 2 " << std::endl;
std::cout << GridLogMessage << "Antihermiticity tests" << std::endl;
for (int mu = 0; mu < Nd; mu++)
{
mommu = PeekIndex<LorentzIndex>(mom, mu);
@@ -279,8 +180,8 @@ int main(int argc, char **argv)
std::cout << GridLogMessage << " S " << S << std::endl;
std::cout << GridLogMessage << " Sprime " << Sprime << std::endl;
std::cout << GridLogMessage << "dS " << Sprime - S << std::endl;
std::cout << GridLogMessage << "predict dS " << dSpred << std::endl;
std::cout << GridLogMessage << "dS (S' - S) :" << Sprime - S << std::endl;
std::cout << GridLogMessage << "predict dS (force) :" << dSpred << std::endl;
std::cout << GridLogMessage << "dSm " << dSm << std::endl;
std::cout << GridLogMessage << "dSm2" << dSm2 << std::endl;