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Momentum space rules for Overlap, DWF untested to date

This commit is contained in:
paboyle 2016-09-26 09:39:09 +01:00
parent 52a39f0fcd
commit b6713ecb60
3 changed files with 169 additions and 0 deletions

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@ -184,7 +184,9 @@ namespace QCD {
num = num + wilson*in; // -i gmu sin k + 2 sin^2 k/2 + m
denom= denom+wilson*wilson; // sin^2 k + (2 sin^2 k/2 + m)^2
denom= one/denom;
out = num*denom; // [ -i gmu sin k + 2 sin^2 k/2 + m] / [ sin^2 k + (2 sin^2 k/2 + m)^2 ]
}

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@ -392,6 +392,170 @@ void WilsonFermion5D<Impl>::DW(const FermionField &in, FermionField &out,int dag
axpy(out,4.0-M5,in,out);
}
template<class Impl>
void WilsonFermion5D<Impl>::MomentumSpacePropagatorHt(FermionField &out,const FermionField &in)
{
// what type LatticeComplex
GridBase *_grid = _FourDimGrid;
conformable(_grid,out._grid);
typedef typename FermionField::vector_type vector_type;
typedef typename FermionField::scalar_type ScalComplex;
typedef iSinglet<ScalComplex> Tcomplex;
typedef Lattice<iSinglet<vector_type> > LatComplex;
Gamma::GammaMatrix Gmu [] = {
Gamma::GammaX,
Gamma::GammaY,
Gamma::GammaZ,
Gamma::GammaT
};
std::vector<int> latt_size = _grid->_fdimensions;
LatComplex sk(_grid); sk = zero;
LatComplex sk2(_grid); sk2= zero;
LatComplex W(_grid); W= zero;
LatComplex a(_grid); a= zero;
LatComplex cosha(_grid); a= zero;
LatComplex one (_grid); one = ScalComplex(1.0,0.0);
FermionField num (_grid); num = zero;
LatComplex denom(_grid); denom= zero;
LatComplex kmu(_grid);
ScalComplex ci(0.0,1.0);
for(int mu=0;mu<Nd;mu++) {
LatticeCoordinate(kmu,mu);
RealD TwoPiL = M_PI * 2.0/ latt_size[mu];
kmu = TwoPiL * kmu;
sk2 = sk2 + 2.0*sin(kmu*0.5)*sin(kmu*0.5);
sk = sk + sin(kmu)*sin(kmu);
num = num - sin(kmu)*ci*(Gamma(Gmu[mu])*in);
}
W = one - M5 - sk2;
cosha = (one + W*W + sk) / (W*2.0);
for(int idx=0;idx<_grid->lSites();idx++){
Tcomplex cc;
RealD sgn;
std::vector<int> lcoor(Nd);
_grid->LocalIndexToLocalCoor(idx,lcoor);
peekLocalSite(cc,cosha,lcoor);
sgn= ::fabs(real(cc));
cc = ScalComplex(::acosh(sgn),0.0);
pokeLocalSite(cc,a,lcoor);
}
std::cout << "Ht mom space num" << norm2(num)<<std::endl;// num ok
std::cout << "Ht mom space W " << norm2(W)<<std::endl;// w ok
std::cout << "Ht mom space a " << norm2(a)<<std::endl;// a ok
denom= ( exp(a) );
std::cout << "Ht mom space den" << norm2(denom)<<std::endl;
denom= ( exp(a) * W );
std::cout << "Ht mom space den W" << norm2(denom)<<std::endl;
denom= ( exp(a) * W - one );
std::cout << "Ht mom space den W- 1" << norm2(denom)<<std::endl;
denom=where(sk==ScalComplex(0,0),one,denom);
std::cout << "Ht mom space den W- 1" << denom<<std::endl;
std::cout << "Ht mom space one " << norm2(one)<<std::endl;
denom= one/denom;
std::cout << "Ht mom space div " << norm2(denom)<<std::endl;
out = num*denom;
std::cout << "Ht mom space out" << norm2(out)<<std::endl;
}
template<class Impl>
void WilsonFermion5D<Impl>::MomentumSpacePropagatorHw(FermionField &out,const FermionField &in)
{
// what type LatticeComplex
GridBase *_grid = _FourDimGrid;
conformable(_grid,out._grid);
typedef typename FermionField::vector_type vector_type;
typedef typename FermionField::scalar_type ScalComplex;
typedef Lattice<iSinglet<vector_type> > LatComplex;
Gamma::GammaMatrix Gmu [] = {
Gamma::GammaX,
Gamma::GammaY,
Gamma::GammaZ,
Gamma::GammaT
};
std::vector<int> latt_size = _grid->_fdimensions;
LatComplex sk(_grid); sk = zero;
LatComplex sk2(_grid); sk2= zero;
LatComplex w_k(_grid); w_k= zero;
LatComplex b_k(_grid); b_k= zero;
LatComplex one (_grid); one = ScalComplex(1.0,0.0);
FermionField num (_grid); num = zero;
LatComplex denom(_grid); denom= zero;
LatComplex kmu(_grid);
ScalComplex ci(0.0,1.0);
for(int mu=0;mu<Nd;mu++) {
LatticeCoordinate(kmu,mu);
RealD TwoPiL = M_PI * 2.0/ latt_size[mu];
kmu = TwoPiL * kmu;
sk2 = sk2 + 2.0*sin(kmu*0.5)*sin(kmu*0.5);
sk = sk + sin(kmu)*sin(kmu);
num = num - sin(kmu)*ci*(Gamma(Gmu[mu])*in);
}
b_k = sk2 - M5;
w_k = sqrt(sk + b_k*b_k);
std::cout << "Hw M5 " << M5<<std::endl;
std::cout << "Hw mom space NUM" << norm2(num)<<std::endl;
std::cout << "Hw mom space BK" << norm2(b_k)<<std::endl;
std::cout << "Hw mom space BK" << b_k<<std::endl;
std::cout << "Hw mom space WK" << norm2(w_k)<<std::endl;
std::cout << "Hw mom space WK" << w_k<<std::endl;
denom= ( w_k + b_k ) * (2.0 * M5);
denom=where(sk==ScalComplex(0,0),one,denom);
std::cout << "Hw mom space DEMON" << norm2(denom)<<std::endl;
std::cout << "Hw mom space DEMON" << denom<<std::endl;
std::cout << "Hw mom space one" << norm2(one)<<std::endl;
denom= one/denom;
std::cout << "Hw mom space div " << norm2(denom)<<std::endl;
std::cout << "denom " << denom<<std::endl;
out = num*denom;
std::cout << "Hw mom space OUT" << norm2(out)<<std::endl;
}
FermOpTemplateInstantiate(WilsonFermion5D);
GparityFermOpTemplateInstantiate(WilsonFermion5D);

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@ -88,6 +88,9 @@ namespace Grid {
virtual void DhopDerivEO(GaugeField &mat,const FermionField &U,const FermionField &V,int dag);
virtual void DhopDerivOE(GaugeField &mat,const FermionField &U,const FermionField &V,int dag);
void MomentumSpacePropagatorHt(FermionField &out,const FermionField &in) ;
void MomentumSpacePropagatorHw(FermionField &out,const FermionField &in) ;
// Implement hopping term non-hermitian hopping term; half cb or both
// Implement s-diagonal DW
void DW (const FermionField &in, FermionField &out,int dag);