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Using Cayley-Hamilton form for the exponential of SU(3) matrices

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This commit is contained in:
Guido Cossu
2017-05-25 12:07:47 +01:00
parent 15e801af3f
commit ab3596d4d3
4 changed files with 106 additions and 29 deletions
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21
lib/qcd/action/gauge/GaugeImplTypes.h
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@ -59,7 +59,7 @@ public:
typedef iImplGaugeLink<Simd> SiteLink;
typedef iImplGaugeField<Simd> SiteField;
typedef Lattice<SiteLink> LinkField;
typedef Lattice<SiteLink> LinkField;
typedef Lattice<SiteField> Field;
// Guido: we can probably separate the types from the HMC functions
@ -80,7 +80,7 @@ public:
///////////////////////////////////////////////////////////
// Move these to another class
// HMC auxiliary functions
// HMC auxiliary functions
static inline void generate_momenta(Field &P, GridParallelRNG &pRNG) {
// specific for SU gauge fields
LinkField Pmu(P._grid);
@ -92,14 +92,19 @@ public:
}
static inline Field projectForce(Field &P) { return Ta(P); }
static inline void update_field(Field& P, Field& U, double ep){
for (int mu = 0; mu < Nd; mu++) {
auto Umu = PeekIndex<LorentzIndex>(U, mu);
auto Pmu = PeekIndex<LorentzIndex>(P, mu);
Umu = expMat(Pmu, ep, Nexp) * Umu;
PokeIndex<LorentzIndex>(U, ProjectOnGroup(Umu), mu);
//static std::chrono::duration<double> diff;
//auto start = std::chrono::high_resolution_clock::now();
parallel_for(int ss=0;ss<P._grid->oSites();ss++){
for (int mu = 0; mu < Nd; mu++)
U[ss]._internal[mu] = ProjectOnGroup(Exponentiate(P[ss]._internal[mu], ep, Nexp) * U[ss]._internal[mu]);
}
//auto end = std::chrono::high_resolution_clock::now();
// diff += end - start;
// std::cout << "Time to exponentiate matrix " << diff.count() << " s\n";
}
static inline RealD FieldSquareNorm(Field& U){

2
lib/qcd/smearing/StoutSmearing.h
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@ -58,6 +58,8 @@ class Smear_Stout : public Smear<Gimpl> {
SmearBase->smear(C, U);
};
// Repetion of code here (use the Tensor_exp.h function)
void exponentiate_iQ(GaugeLinkField& e_iQ, const GaugeLinkField& iQ) const {
// Put this outside
// only valid for SU(3) matrices