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Momentum space rules for Overlap, DWF untested to date
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@ -184,7 +184,9 @@ namespace QCD {
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num = num + wilson*in; // -i gmu sin k + 2 sin^2 k/2 + m
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denom= denom+wilson*wilson; // sin^2 k + (2 sin^2 k/2 + m)^2
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denom= one/denom;
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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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}
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@ -392,6 +392,170 @@ void WilsonFermion5D<Impl>::DW(const FermionField &in, FermionField &out,int dag
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axpy(out,4.0-M5,in,out);
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}
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template<class Impl>
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void WilsonFermion5D<Impl>::MomentumSpacePropagatorHt(FermionField &out,const FermionField &in)
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{
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// what type LatticeComplex
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GridBase *_grid = _FourDimGrid;
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conformable(_grid,out._grid);
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typedef typename FermionField::vector_type vector_type;
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typedef typename FermionField::scalar_type ScalComplex;
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typedef iSinglet<ScalComplex> Tcomplex;
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typedef Lattice<iSinglet<vector_type> > LatComplex;
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Gamma::GammaMatrix Gmu [] = {
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Gamma::GammaX,
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Gamma::GammaY,
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Gamma::GammaZ,
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Gamma::GammaT
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};
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std::vector<int> latt_size = _grid->_fdimensions;
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LatComplex sk(_grid); sk = zero;
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LatComplex sk2(_grid); sk2= zero;
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LatComplex W(_grid); W= zero;
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LatComplex a(_grid); a= zero;
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LatComplex cosha(_grid); a= zero;
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LatComplex one (_grid); one = ScalComplex(1.0,0.0);
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FermionField num (_grid); num = zero;
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LatComplex denom(_grid); denom= zero;
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LatComplex kmu(_grid);
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ScalComplex ci(0.0,1.0);
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for(int mu=0;mu<Nd;mu++) {
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LatticeCoordinate(kmu,mu);
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RealD TwoPiL = M_PI * 2.0/ latt_size[mu];
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kmu = TwoPiL * kmu;
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sk2 = sk2 + 2.0*sin(kmu*0.5)*sin(kmu*0.5);
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sk = sk + sin(kmu)*sin(kmu);
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num = num - sin(kmu)*ci*(Gamma(Gmu[mu])*in);
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}
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W = one - M5 - sk2;
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cosha = (one + W*W + sk) / (W*2.0);
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for(int idx=0;idx<_grid->lSites();idx++){
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Tcomplex cc;
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RealD sgn;
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std::vector<int> lcoor(Nd);
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_grid->LocalIndexToLocalCoor(idx,lcoor);
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peekLocalSite(cc,cosha,lcoor);
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sgn= ::fabs(real(cc));
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cc = ScalComplex(::acosh(sgn),0.0);
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pokeLocalSite(cc,a,lcoor);
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}
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std::cout << "Ht mom space num" << norm2(num)<<std::endl;// num ok
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std::cout << "Ht mom space W " << norm2(W)<<std::endl;// w ok
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std::cout << "Ht mom space a " << norm2(a)<<std::endl;// a ok
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denom= ( exp(a) );
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std::cout << "Ht mom space den" << norm2(denom)<<std::endl;
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denom= ( exp(a) * W );
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std::cout << "Ht mom space den W" << norm2(denom)<<std::endl;
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denom= ( exp(a) * W - one );
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std::cout << "Ht mom space den W- 1" << norm2(denom)<<std::endl;
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denom=where(sk==ScalComplex(0,0),one,denom);
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std::cout << "Ht mom space den W- 1" << denom<<std::endl;
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std::cout << "Ht mom space one " << norm2(one)<<std::endl;
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denom= one/denom;
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std::cout << "Ht mom space div " << norm2(denom)<<std::endl;
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out = num*denom;
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std::cout << "Ht mom space out" << norm2(out)<<std::endl;
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}
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template<class Impl>
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void WilsonFermion5D<Impl>::MomentumSpacePropagatorHw(FermionField &out,const FermionField &in)
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{
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// what type LatticeComplex
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GridBase *_grid = _FourDimGrid;
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conformable(_grid,out._grid);
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typedef typename FermionField::vector_type vector_type;
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typedef typename FermionField::scalar_type ScalComplex;
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typedef Lattice<iSinglet<vector_type> > LatComplex;
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Gamma::GammaMatrix Gmu [] = {
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Gamma::GammaX,
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Gamma::GammaY,
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Gamma::GammaZ,
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Gamma::GammaT
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};
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std::vector<int> latt_size = _grid->_fdimensions;
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LatComplex sk(_grid); sk = zero;
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LatComplex sk2(_grid); sk2= zero;
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LatComplex w_k(_grid); w_k= zero;
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LatComplex b_k(_grid); b_k= zero;
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LatComplex one (_grid); one = ScalComplex(1.0,0.0);
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FermionField num (_grid); num = zero;
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LatComplex denom(_grid); denom= zero;
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LatComplex kmu(_grid);
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ScalComplex ci(0.0,1.0);
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for(int mu=0;mu<Nd;mu++) {
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LatticeCoordinate(kmu,mu);
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RealD TwoPiL = M_PI * 2.0/ latt_size[mu];
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kmu = TwoPiL * kmu;
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sk2 = sk2 + 2.0*sin(kmu*0.5)*sin(kmu*0.5);
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sk = sk + sin(kmu)*sin(kmu);
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num = num - sin(kmu)*ci*(Gamma(Gmu[mu])*in);
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}
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b_k = sk2 - M5;
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w_k = sqrt(sk + b_k*b_k);
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std::cout << "Hw M5 " << M5<<std::endl;
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std::cout << "Hw mom space NUM" << norm2(num)<<std::endl;
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std::cout << "Hw mom space BK" << norm2(b_k)<<std::endl;
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std::cout << "Hw mom space BK" << b_k<<std::endl;
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std::cout << "Hw mom space WK" << norm2(w_k)<<std::endl;
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std::cout << "Hw mom space WK" << w_k<<std::endl;
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denom= ( w_k + b_k ) * (2.0 * M5);
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denom=where(sk==ScalComplex(0,0),one,denom);
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std::cout << "Hw mom space DEMON" << norm2(denom)<<std::endl;
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std::cout << "Hw mom space DEMON" << denom<<std::endl;
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std::cout << "Hw mom space one" << norm2(one)<<std::endl;
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denom= one/denom;
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std::cout << "Hw mom space div " << norm2(denom)<<std::endl;
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std::cout << "denom " << denom<<std::endl;
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out = num*denom;
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std::cout << "Hw mom space OUT" << norm2(out)<<std::endl;
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}
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FermOpTemplateInstantiate(WilsonFermion5D);
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GparityFermOpTemplateInstantiate(WilsonFermion5D);
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@ -88,6 +88,9 @@ namespace Grid {
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virtual void DhopDerivEO(GaugeField &mat,const FermionField &U,const FermionField &V,int dag);
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virtual void DhopDerivOE(GaugeField &mat,const FermionField &U,const FermionField &V,int dag);
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void MomentumSpacePropagatorHt(FermionField &out,const FermionField &in) ;
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void MomentumSpacePropagatorHw(FermionField &out,const FermionField &in) ;
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// Implement hopping term non-hermitian hopping term; half cb or both
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// Implement s-diagonal DW
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void DW (const FermionField &in, FermionField &out,int dag);
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