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Fixing the topological charge. Wilson Flow tested, ok

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This commit is contained in:
Guido Cossu
2017-05-26 12:45:59 +01:00
parent 75856f2945
commit f4e8bf2858
3 changed files with 44 additions and 11 deletions
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18
lib/qcd/smearing/WilsonFlow.h
View File

@@ -36,8 +36,10 @@ namespace QCD {
template <class Gimpl>
class WilsonFlow: public Smear<Gimpl>{
unsigned int Nstep;
unsigned int measure_interval;
RealD epsilon;
mutable WilsonGaugeAction<Gimpl> SG;
void evolve_step(typename Gimpl::GaugeField&) const;
@@ -47,9 +49,10 @@ class WilsonFlow: public Smear<Gimpl>{
public:
INHERIT_GIMPL_TYPES(Gimpl)
explicit WilsonFlow(unsigned int Nstep, RealD epsilon):
explicit WilsonFlow(unsigned int Nstep, RealD epsilon, unsigned int interval = 1):
Nstep(Nstep),
epsilon(epsilon),
measure_interval(interval),
SG(WilsonGaugeAction<Gimpl>(3.0)) {
// WilsonGaugeAction with beta 3.0
assert(epsilon > 0.0);
@@ -107,11 +110,20 @@ RealD WilsonFlow<Gimpl>::energyDensityPlaquette(unsigned int step, const GaugeFi
template <class Gimpl>
void WilsonFlow<Gimpl>::smear(GaugeField& out, const GaugeField& in) const {
out = in;
for (unsigned int step = 0; step < Nstep; step++) {
for (unsigned int step = 1; step <= Nstep; step++) {
auto start = std::chrono::high_resolution_clock::now();
evolve_step(out);
auto end = std::chrono::high_resolution_clock::now();
std::chrono::duration<double> diff = end - start;
std::cout << "Time to evolve " << diff.count() << " s\n";
std::cout << GridLogMessage << "[WilsonFlow] Energy density (plaq) : "
<< step << " "
<< step << " "
<< energyDensityPlaquette(step,out) << std::endl;
if( step % measure_interval == 0){
std::cout << GridLogMessage << "[WilsonFlow] Top. charge : "
<< step << " "
<< WilsonLoops<PeriodicGimplR>::TopologicalCharge(out) << std::endl;
}
}
}

26
lib/qcd/utils/WilsonLoops.h
View File

@@ -197,10 +197,13 @@ public:
std::vector<GaugeMat> U(Nd, grid);
for (int d = 0; d < Nd; d++) {
// this operation is taking too much time
U[d] = PeekIndex<LorentzIndex>(Umu, d);
}
staple = zero;
GaugeMat tmp(grid);
GaugeMat tmp1(grid);
GaugeMat tmp2(grid);
for (int nu = 0; nu < Nd; nu++) {
@@ -214,22 +217,34 @@ public:
// |
// __|
//
tmp1 = Cshift(U[nu], mu, 1);
tmp2 = Cshift(U[mu], nu, 1);
staple += tmp1*adj(U[nu] * tmp2);
/*
staple += Gimpl::ShiftStaple(
Gimpl::CovShiftForward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu, Gimpl::CovShiftIdentityBackward(U[nu], nu))),
mu);
*/
// __
// |
// |__
//
//
tmp2 = adj(U[mu]*tmp1)*U[nu];
staple += Cshift(tmp2, nu, -1);
/*
staple += Gimpl::ShiftStaple(
Gimpl::CovShiftBackward(U[nu], nu,
Gimpl::CovShiftBackward(U[mu], mu, U[nu])), mu);
*/
}
}
}
@@ -289,8 +304,7 @@ public:
//
staple = Gimpl::ShiftStaple(
Gimpl::CovShiftBackward(U[nu], nu,
Gimpl::CovShiftBackward(U[mu], mu, U[nu])),
mu);
Gimpl::CovShiftBackward(U[mu], mu, U[nu])), mu);
}
}
@@ -307,10 +321,10 @@ public:
GaugeMat Vup(Umu._grid), Vdn(Umu._grid);
StapleUpper(Vup, Umu, mu, nu);
StapleLower(Vdn, Umu, mu, nu);
GaugeMat v = adj(Vup) - adj(Vdn);
GaugeMat v = Vup - Vdn;
GaugeMat u = PeekIndex<LorentzIndex>(Umu, mu); // some redundant copies
GaugeMat vu = v*u;
FS = 0.25*Ta(u*v + Cshift(vu, mu, +1));
FS = 0.25*Ta(u*v + Cshift(vu, mu, -1));
}
static Real TopologicalCharge(GaugeLorentz &U){

11
tests/smearing/Test_WilsonFlow.cc
View File

@@ -42,22 +42,29 @@ int main(int argc, char **argv) {
GridRedBlackCartesian RBGrid(latt_size, simd_layout, mpi_layout);
std::vector<int> seeds({1, 2, 3, 4, 5});
GridSerialRNG sRNG;
GridParallelRNG pRNG(&Grid);
pRNG.SeedFixedIntegers(seeds);
LatticeGaugeField Umu(&Grid), Uflow(&Grid);
SU<Nc>::HotConfiguration(pRNG, Umu);
CheckpointerParameters CPPar("ckpoint_lat", "ckpoint_rng");
BinaryHmcCheckpointer<PeriodicGimplR> CPBin(CPPar);
CPBin.CheckpointRestore(3000, Umu, sRNG, pRNG);
std::cout << std::setprecision(15);
std::cout << GridLogMessage << "Plaquette: "
<< WilsonLoops<PeriodicGimplR>::avgPlaquette(Umu) << std::endl;
WilsonFlow<PeriodicGimplR> WF(200, 0.01);
WilsonFlow<PeriodicGimplR> WF(200, 0.01, 50);
WF.smear(Uflow, Umu);
RealD WFlow_plaq = WilsonLoops<PeriodicGimplR>::avgPlaquette(Uflow);
std::cout << GridLogMessage << "Plaquette: "<< WFlow_plaq << std::endl;
RealD WFlow_TC = WilsonLoops<PeriodicGimplR>::TopologicalCharge(Uflow);
std::cout << GridLogMessage << "Plaquette : "<< WFlow_plaq << std::endl;
std::cout << GridLogMessage << "TopologicalCharge : "<< WFlow_TC << std::endl;
std::cout<< GridLogMessage << " Admissibility check:\n";
const double sp_adm = 0.067; // admissible threshold