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Starting to fix reunitarise

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This commit is contained in:
Peter Boyle 2020-11-19 19:23:41 +01:00
parent f1c7480e3c
commit d5049949a4
1 changed files with 83 additions and 1 deletions
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84
Grid/qcd/utils/SUn.h
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@ -735,7 +735,6 @@ public:
} }
} }
template <typename GaugeField> template <typename GaugeField>
static void HotConfiguration(GridParallelRNG &pRNG, GaugeField &out) { static void HotConfiguration(GridParallelRNG &pRNG, GaugeField &out) {
typedef typename GaugeField::vector_type vector_type; typedef typename GaugeField::vector_type vector_type;
@ -800,6 +799,89 @@ public:
} }
}; };
template<int N>
LatticeComplexD Determinant(const Lattice<iScalar<iScalar<iMatrix<vComplexD, N> > > > &Umu)
{
GridBase *grid=Umu.Grid();
auto lvol = grid->lSites();
LatticeComplexD ret(grid);
autoView(Umu_v,Umu,CpuRead);
autoView(ret_v,ret,CpuWrite);
thread_for(site,lvol,{
Eigen::MatrixXcd EigenU = Eigen::MatrixXcd::Zero(N,N);
Coordinate lcoor;
grid->LocalIndexToLocalCoor(site, lcoor);
iScalar<iScalar<iMatrix<ComplexD, N> > > Us;
peekLocalSite(Us, Umu_v, lcoor);
for(int i=0;i<N;i++){
for(int j=0;j<N;j++){
EigenU(i,j) = Us()()(i,j);
}}
ComplexD det = EigenU.determinant();
pokeLocalSite(det,ret_v,lcoor);
std::cout << " site " <<site<<" det " <<det <<std::endl;
});
return ret;
}
template<int N>
static void ProjectSUn(Lattice<iScalar<iScalar<iMatrix<vComplexD, N> > > > &Umu)
{
Umu = ProjectOnGroup(Umu);
auto det = Determinant(Umu);
det = pow(det,-1);
for(int i=0;i<N;i++){
auto element = PeekIndex<ColourIndex>(Umu,N-1,i);
element = element * det;
PokeIndex<ColourIndex>(Umu,element,Nc-1,i);
}
}
template<int N>
static void ProjectSUn(Lattice<iVector<iScalar<iMatrix<vComplexD, N> >,Nd> > &U)
{
GridBase *grid=U.Grid();
// Reunitarise
for(int mu=0;mu<Nd;mu++){
auto Umu = PeekIndex<LorentzIndex>(U,mu);
Umu = ProjectOnGroup(Umu);
ProjectSUn(Umu);
PokeIndex<LorentzIndex>(U,Umu,mu);
}
}
// Explicit specialisation for SU(3).
// Explicit specialisation for SU(3).
static void
ProjectSU3 (Lattice<iScalar<iScalar<iMatrix<vComplexD, 3> > > > &Umu)
{
GridBase *grid=Umu.Grid();
const int x=0;
const int y=1;
const int z=2;
// Reunitarise
Umu = ProjectOnGroup(Umu);
autoView(Umu_v,Umu,CpuWrite);
thread_for(ss,grid->oSites(),{
auto cm = Umu_v[ss];
cm()()(2,x) = adj(cm()()(0,y)*cm()()(1,z)-cm()()(0,z)*cm()()(1,y)); //x= yz-zy
cm()()(2,y) = adj(cm()()(0,z)*cm()()(1,x)-cm()()(0,x)*cm()()(1,z)); //y= zx-xz
cm()()(2,z) = adj(cm()()(0,x)*cm()()(1,y)-cm()()(0,y)*cm()()(1,x)); //z= xy-yx
Umu_v[ss]=cm;
});
}
static void ProjectSU3(Lattice<iVector<iScalar<iMatrix<vComplexD, 3> >,Nd> > &U)
{
GridBase *grid=U.Grid();
// Reunitarise
for(int mu=0;mu<Nd;mu++){
auto Umu = PeekIndex<LorentzIndex>(U,mu);
Umu = ProjectOnGroup(Umu);
ProjectSU3(Umu);
PokeIndex<LorentzIndex>(U,Umu,mu);
}
}
typedef SU<2> SU2; typedef SU<2> SU2;
typedef SU<3> SU3; typedef SU<3> SU3;
typedef SU<4> SU4; typedef SU<4> SU4;