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Clover term force ok

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This commit is contained in:
Guido Cossu 2017-10-29 11:43:33 +00:00
parent 76bcf6cd8c
commit f941c4ee18
4 changed files with 118 additions and 35 deletions
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9
lib/qcd/action/fermion/WilsonCloverFermion.cc
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@ -48,10 +48,7 @@ RealD WilsonCloverFermion<Impl>::M(const FermionField &in, FermionField &out)
// Clover term
Mooee(in, temp);
//hack
out = zero;
out= zero;
out += temp;
return norm2(out);
}
@ -68,9 +65,7 @@ RealD WilsonCloverFermion<Impl>::Mdag(const FermionField &in, FermionField &out)
// Clover term
MooeeDag(in, temp);
//hack
out = zero;
out=zero;
out += temp;
return norm2(out);
}

24
lib/qcd/action/fermion/WilsonCloverFermion.h
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@ -122,6 +122,8 @@ public:
// Clover term derivative
///////////////////////////////////////////////////////////
Impl::outerProductImpl(Lambda, X, Y);
//std::cout << "Lambda:" << Lambda << std::endl;
Gamma::Algebra sigma[] = {
Gamma::Algebra::SigmaXY,
@ -153,16 +155,18 @@ public:
for (int nu = 0; nu < 4; nu++)
{
if (mu == nu) continue;
PropagatorField Slambda = Gamma(sigma[count]) * Lambda;
Impl::TraceSpinImpl(lambda, Slambda); //traceSpin
force_mu += Cmunu(U, lambda, mu, nu);
PropagatorField Slambda = Gamma(sigma[count]) * Lambda; // sigma checked
Impl::TraceSpinImpl(lambda, Slambda); // traceSpin ok
force_mu -= Cmunu(U, lambda, mu, nu); // checked
count++;
}
pokeLorentz(clover_force, U[mu] * force_mu, mu);
}
clover_force *= csw / 8.;
clover_force *= csw;
force += clover_force;
}
// Computing C_{\mu \nu}(x) as in Eq.(B.39) in Zbigniew Sroczynski's PhD thesis
@ -170,20 +174,19 @@ public:
{
conformable(lambda._grid, U[0]._grid);
GaugeLinkField out(lambda._grid), tmp(lambda._grid);
// insertion in upper staple
// please check redundancy of shift operations
// C1+
tmp = lambda * U[nu];
out = Impl::ShiftStaple(Impl::CovShiftForward(tmp, nu, Impl::CovShiftBackward(U[mu], mu, Impl::CovShiftIdentityBackward(U[nu], nu))), mu);
// C2+
tmp = U[mu] * Impl::CovShiftIdentityForward(adj(lambda), mu);
tmp = U[mu] * Impl::ShiftStaple(adj(lambda), mu);
out += Impl::ShiftStaple(Impl::CovShiftForward(U[nu], nu, Impl::CovShiftBackward(tmp, mu, Impl::CovShiftIdentityBackward(U[nu], nu))), mu);
// C3+
tmp = U[nu] * Impl::CovShiftIdentityForward(adj(lambda), nu);
tmp = U[nu] * Impl::ShiftStaple(adj(lambda), nu);
out += Impl::ShiftStaple(Impl::CovShiftForward(U[nu], nu, Impl::CovShiftBackward(U[mu], mu, Impl::CovShiftIdentityBackward(tmp, nu))), mu);
// C4+
@ -259,6 +262,7 @@ private:
PARALLEL_FOR_LOOP
for (int i = 0; i < CloverTerm._grid->oSites(); i++)
{
T._odata[i]()(0, 0) = timesMinusI(F._odata[i]()());
T._odata[i]()(1, 1) = timesI(F._odata[i]()());
T._odata[i]()(2, 2) = timesMinusI(F._odata[i]()());

2
lib/qcd/utils/WilsonLoops.h
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@ -327,7 +327,7 @@ static void StapleMult(GaugeMat &staple, const GaugeLorentz &Umu, int mu) {
static void FieldStrength(GaugeMat &FS, const GaugeLorentz &Umu, int mu, int nu){
// Fmn +--<--+ Ut +--<--+
// | | | |
// (x)+-->--+ +-->--+(x)
// (x)+-->--+ +-->--+(x) - h.c.
// | | | |
// +--<--+ +--<--+

118
tests/forces/Test_wilsonclover_force.cc
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@ -1,6 +1,6 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/Test_wilson_force.cc
@ -45,14 +45,17 @@ int main(int argc, char **argv)
int threads = GridThread::GetThreads();
std::cout << GridLogMessage << "Grid is setup to use " << threads << " threads" << std::endl;
std::vector<int> seeds({1, 2, 3, 4});
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);
gaussian(pRNG, phi);
@ -61,16 +64,53 @@ int main(int argc, char **argv)
LatticeGaugeField U(&Grid);
SU3::HotConfiguration(pRNG,U);
/*
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);
////////////////////////////////////
// Unmodified matrix element
////////////////////////////////////
RealD mass = -4.0; //kills the diagonal term
Real csw = 1.0;
WilsonCloverFermionR Dw(U, Grid, RBGrid, mass, csw);
Dw.ImportGauge(U);
Dw.M(phi, Mphi);
ComplexD S = innerProduct(Mphi, Mphi); // Action : pdag MdagM p
@ -78,11 +118,23 @@ int main(int argc, char **argv)
LatticeGaugeField UdSdU(&Grid);
LatticeGaugeField tmp(&Grid);
Dw.MDeriv(tmp, Mphi, phi, DaggerNo); UdSdU = tmp;
Dw.MDeriv(tmp, phi, Mphi, DaggerYes); UdSdU += tmp;
////////////////////////////////////////////
Dw.MDeriv(tmp, Mphi, phi, DaggerNo);
UdSdU = tmp;
Dw.MDeriv(tmp, phi, Mphi, DaggerYes);
UdSdU += tmp;
/////////////////////////////////////////////
// Take the traceless antihermitian component
UdSdU = Ta(UdSdU);
//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
////////////////////////////////////
@ -90,28 +142,63 @@ int main(int argc, char **argv)
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++) {
// 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++)
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++)
{
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);
}
}
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);
@ -143,16 +230,14 @@ int main(int argc, char **argv)
dSmom2 = zero;
// need for this???
// ultimately it is just a 2.0 factor in UdSdU
for (int mu = 0; mu < Nd; mu++)
{
mommu = PeekIndex<LorentzIndex>(UdSdU, mu); // P_mu =
mommu = PeekIndex<LorentzIndex>(UdSdU, mu); // P_mu =
mommu = Ta(mommu) * 2.0; // Mom = (P_mu - P_mu^dag) - trace(P_mu - P_mu^dag)
PokeIndex<LorentzIndex>(UdSdU, mommu, mu); // UdSdU_mu = Mom
}
std::cout << GridLogMessage<< "Antihermiticity tests - 2 " << std::endl;
std::cout << GridLogMessage << "Antihermiticity tests - 2 " << std::endl;
for (int mu = 0; mu < Nd; mu++)
{
mommu = PeekIndex<LorentzIndex>(mom, mu);
@ -167,7 +252,6 @@ int main(int argc, char **argv)
}
/////////////////////////////////////////////////////
for (int mu = 0; mu < Nd; mu++)
{
forcemu = PeekIndex<LorentzIndex>(UdSdU, mu);