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https://github.com/paboyle/Grid.git
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384 lines
12 KiB
C++
384 lines
12 KiB
C++
/*
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* Warning: This code illustrative only: not well tested, and not meant for production use
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* without regression / tests being applied
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*/
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#include <Grid/Grid.h>
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using namespace std;
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using namespace Grid;
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RealD LLscale =1.0;
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RealD LCscale =1.0;
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template<class Gimpl,class Field> class CovariantLaplacianCshift : public SparseMatrixBase<Field>
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{
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public:
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INHERIT_GIMPL_TYPES(Gimpl);
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GridBase *grid;
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GaugeField U;
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CovariantLaplacianCshift(GaugeField &_U) :
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grid(_U.Grid()),
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U(_U) { };
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virtual GridBase *Grid(void) { return grid; };
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virtual void M (const Field &in, Field &out)
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{
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out=Zero();
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for(int mu=0;mu<Nd-1;mu++) {
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GaugeLinkField Umu = PeekIndex<LorentzIndex>(U, mu); // NB: Inefficent
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out = out - Gimpl::CovShiftForward(Umu,mu,in);
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out = out - Gimpl::CovShiftBackward(Umu,mu,in);
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out = out + 2.0*in;
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}
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};
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virtual void Mdag (const Field &in, Field &out) { M(in,out);}; // Laplacian is hermitian
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virtual void Mdiag (const Field &in, Field &out) {assert(0);}; // Unimplemented need only for multigrid
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virtual void Mdir (const Field &in, Field &out,int dir, int disp){assert(0);}; // Unimplemented need only for multigrid
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virtual void MdirAll (const Field &in, std::vector<Field> &out) {assert(0);}; // Unimplemented need only for multigrid
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};
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void MakePhase(Coordinate mom,LatticeComplex &phase)
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{
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GridBase *grid = phase.Grid();
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auto latt_size = grid->GlobalDimensions();
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ComplexD ci(0.0,1.0);
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phase=Zero();
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LatticeComplex coor(phase.Grid());
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for(int mu=0;mu<Nd;mu++){
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RealD TwoPiL = M_PI * 2.0/ latt_size[mu];
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LatticeCoordinate(coor,mu);
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phase = phase + (TwoPiL * mom[mu]) * coor;
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}
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phase = exp(phase*ci);
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}
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void PointSource(Coordinate &coor,LatticePropagator &source)
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{
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// Coordinate coor({0,0,0,0});
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source=Zero();
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SpinColourMatrix kronecker; kronecker=1.0;
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pokeSite(kronecker,source,coor);
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}
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void Z2WallSource(GridParallelRNG &RNG,int tslice,LatticePropagator &source)
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{
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GridBase *grid = source.Grid();
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LatticeComplex noise(grid);
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LatticeComplex zz(grid); zz=Zero();
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LatticeInteger t(grid);
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RealD nrm=1.0/sqrt(2);
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bernoulli(RNG, noise); // 0,1 50:50
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noise = (2.*noise - Complex(1,1))*nrm;
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LatticeCoordinate(t,Tdir);
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noise = where(t==Integer(tslice), noise, zz);
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source = 1.0;
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source = source*noise;
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std::cout << " Z2 wall " << norm2(source) << std::endl;
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}
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template<class Field>
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void GaussianSmear(LatticeGaugeField &U,Field &unsmeared,Field &smeared)
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{
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typedef CovariantLaplacianCshift <PeriodicGimplR,Field> Laplacian_t;
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Laplacian_t Laplacian(U);
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Integer Iterations = 40;
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Real width = 2.0;
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Real coeff = (width*width) / Real(4*Iterations);
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Field tmp(U.Grid());
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smeared=unsmeared;
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// chi = (1-p^2/2N)^N kronecker
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for(int n = 0; n < Iterations; ++n) {
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Laplacian.M(smeared,tmp);
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smeared = smeared - coeff*tmp;
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std::cout << " smear iter " << n<<" " <<norm2(smeared)<<std::endl;
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}
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}
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void GaussianSource(Coordinate &site,LatticeGaugeField &U,LatticePropagator &source)
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{
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LatticePropagator tmp(source.Grid());
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PointSource(site,source);
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std::cout << " GaussianSource Kronecker "<< norm2(source)<<std::endl;
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tmp = source;
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GaussianSmear(U,tmp,source);
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std::cout << " GaussianSource Smeared "<< norm2(source)<<std::endl;
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}
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void GaussianWallSource(GridParallelRNG &RNG,int tslice,LatticeGaugeField &U,LatticePropagator &source)
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{
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Z2WallSource(RNG,tslice,source);
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auto tmp = source;
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GaussianSmear(U,tmp,source);
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}
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void SequentialSource(int tslice,Coordinate &mom,LatticePropagator &spectator,LatticePropagator &source)
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{
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assert(mom.size()==Nd);
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assert(mom[Tdir] == 0);
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GridBase * grid = spectator.Grid();
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LatticeInteger ts(grid);
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LatticeCoordinate(ts,Tdir);
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source = Zero();
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source = where(ts==Integer(tslice),spectator,source); // Stick in a slice of the spectator, zero everywhere else
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LatticeComplex phase(grid);
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MakePhase(mom,phase);
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source = source *phase;
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}
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template<class Action>
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void Solve(Action &D,LatticePropagator &source,LatticePropagator &propagator)
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{
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GridBase *UGrid = D.GaugeGrid();
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GridBase *FGrid = D.FermionGrid();
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LatticeFermion src4 (UGrid);
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LatticeFermion src5 (FGrid);
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LatticeFermion result5(FGrid);
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LatticeFermion result4(UGrid);
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LatticePropagator prop5(FGrid);
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ConjugateGradient<LatticeFermion> CG(1.0e-8,100000);
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SchurRedBlackDiagMooeeSolve<LatticeFermion> schur(CG);
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ZeroGuesser<LatticeFermion> ZG; // Could be a DeflatedGuesser if have eigenvectors
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for(int s=0;s<Nd;s++){
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for(int c=0;c<Nc;c++){
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PropToFerm<Action>(src4,source,s,c);
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D.ImportPhysicalFermionSource(src4,src5);
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result5=Zero();
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schur(D,src5,result5,ZG);
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std::cout<<GridLogMessage
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<<"spin "<<s<<" color "<<c
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<<" norm2(src5d) " <<norm2(src5)
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<<" norm2(result5d) "<<norm2(result5)<<std::endl;
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D.ExportPhysicalFermionSolution(result5,result4);
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FermToProp<Action>(prop5,result5,s,c);
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FermToProp<Action>(propagator,result4,s,c);
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}
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}
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LatticePropagator Axial_mu(UGrid);
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LatticePropagator Vector_mu(UGrid);
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LatticeComplex PA (UGrid);
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LatticeComplex VV (UGrid);
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LatticeComplex PJ5q(UGrid);
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LatticeComplex PP (UGrid);
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std::vector<TComplex> sumPA;
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std::vector<TComplex> sumVV;
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std::vector<TComplex> sumPP;
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std::vector<TComplex> sumPJ5q;
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Gamma g5(Gamma::Algebra::Gamma5);
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D.ContractConservedCurrent(prop5,prop5,Axial_mu,source,Current::Axial,Tdir);
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PA = trace(g5*Axial_mu); // Pseudoscalar-Axial conserved current
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sliceSum(PA,sumPA,Tdir);
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int Nt{static_cast<int>(sumPA.size())};
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for(int t=0;t<Nt;t++) std::cout<<GridLogMessage <<"PAc["<<t<<"] "<<real(TensorRemove(sumPA[t]))*LCscale<<std::endl;
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PP = trace(adj(propagator)*propagator); // Pseudoscalar density
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sliceSum(PP,sumPP,Tdir);
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for(int t=0;t<Nt;t++) std::cout<<GridLogMessage <<"PP["<<t<<"] "<<real(TensorRemove(sumPP[t]))*LCscale<<std::endl;
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D.ContractJ5q(prop5,PJ5q);
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sliceSum(PJ5q,sumPJ5q,Tdir);
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for(int t=0;t<Nt;t++) std::cout<<GridLogMessage <<"PJ5q["<<t<<"] "<<real(TensorRemove(sumPJ5q[t]))<<std::endl;
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Gamma::Algebra GammaV[3] = {
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Gamma::Algebra::GammaX,
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Gamma::Algebra::GammaY,
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Gamma::Algebra::GammaZ
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};
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for( int mu=0;mu<3;mu++ ) {
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Gamma gV(GammaV[mu]);
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D.ContractConservedCurrent(prop5,prop5,Vector_mu,source,Current::Vector,mu);
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// auto ss=sliceSum(Vector_mu,Tdir);
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// for(int t=0;t<Nt;t++) std::cout<<GridLogMessage <<"ss["<<mu<<"]["<<t<<"] "<<ss[t]<<std::endl;
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VV = trace(gV*Vector_mu); // (local) Vector-Vector conserved current
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sliceSum(VV,sumVV,Tdir);
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for(int t=0;t<Nt;t++){
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RealD Ct = real(TensorRemove(sumVV[t]))*LCscale;
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std::cout<<GridLogMessage <<"VVc["<<mu<<"]["<<t<<"] "<< Ct
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<< " 2 pi^2 t^3 C(t) "<< 2 * M_PI *M_PI * t*t*t *Ct<<std::endl;
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}
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}
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}
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class MesonFile: Serializable {
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public:
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GRID_SERIALIZABLE_CLASS_MEMBERS(MesonFile, std::vector<std::vector<Complex> >, data);
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};
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void MesonTrace(std::string file,LatticePropagator &q1,LatticePropagator &q2,LatticeComplex &phase)
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{
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const int nchannel=3;
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Gamma::Algebra Gammas[nchannel][2] = {
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{Gamma::Algebra::GammaX,Gamma::Algebra::GammaX},
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{Gamma::Algebra::GammaY,Gamma::Algebra::GammaY},
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{Gamma::Algebra::GammaZ,Gamma::Algebra::GammaZ}
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};
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Gamma G5(Gamma::Algebra::Gamma5);
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LatticeComplex meson_CF(q1.Grid());
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MesonFile MF;
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for(int ch=0;ch<nchannel;ch++){
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Gamma Gsrc(Gammas[ch][0]);
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Gamma Gsnk(Gammas[ch][1]);
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meson_CF = trace(G5*adj(q1)*G5*Gsnk*q2*adj(Gsrc));
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std::vector<TComplex> meson_T;
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sliceSum(meson_CF,meson_T, Tdir);
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int nt=meson_T.size();
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std::vector<Complex> corr(nt);
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for(int t=0;t<nt;t++){
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corr[t] = TensorRemove(meson_T[t])*LLscale; // Yes this is ugly, not figured a work around
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std::cout << " channel "<<ch<<" t "<<t<<" " <<real(corr[t])<< " 2 pi^2 t^3 C(t) "<< 2 * M_PI *M_PI * t*t*t *real(corr[t])<<std::endl;
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}
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MF.data.push_back(corr);
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}
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{
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XmlWriter WR(file);
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write(WR,"MesonFile",MF);
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}
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}
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int main (int argc, char ** argv)
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{
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const int Ls=32;
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Grid_init(&argc,&argv);
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// Double precision grids
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GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(),
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GridDefaultSimd(Nd,vComplex::Nsimd()),
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GridDefaultMpi());
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GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
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GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
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GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
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//////////////////////////////////////////////////////////////////////
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// You can manage seeds however you like.
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// Recommend SeedUniqueString.
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//////////////////////////////////////////////////////////////////////
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std::vector<int> seeds4({1,2,3,4});
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GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
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LatticeGaugeField Umu(UGrid);
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std::string config;
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RealD M5=1.8;
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if( argc > 1 && argv[1][0] != '-' )
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{
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std::cout<<GridLogMessage <<"Loading configuration from "<<argv[1]<<std::endl;
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FieldMetaData header;
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NerscIO::readConfiguration(Umu, header, argv[1]);
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config=argv[1];
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M5=1.8;
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}
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else
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{
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SU<Nc>::ColdConfiguration(Umu);
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config="ColdConfig";
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// RealD P=1.0; // Don't scale
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RealD P=0.5871119; // 48I
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// RealD P=0.6153342; // 64I
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// RealD P=0.6388238 // 32Ifine
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RealD u0 = sqrt(sqrt(P));
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RealD M5mf = M5 - 4.0*(1.0-u0);
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RealD w0 = 1.0 - M5mf;
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#if 0
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// M5=1.8 with U=u0
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Umu = Umu * u0;
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LLscale = 1.0;
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LCscale = 1.0;
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std::cout<<GridLogMessage <<"Gauge links are u=u0= "<<u0<<std::endl;
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std::cout<<GridLogMessage <<"M5 = "<<M5<<std::endl;
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#else
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M5 = M5mf;
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std::cout<<GridLogMessage <<"Gauge links are u=1 "<<std::endl;
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std::cout<<GridLogMessage <<"u0="<<u0<<std::endl;
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std::cout<<GridLogMessage <<"M5=M5mf = "<<M5<<std::endl;
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LLscale = 1.0/(1-w0*w0)/(1-w0*w0);
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LCscale = 1.0/(1-w0*w0)/(1-w0*w0);
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#endif
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std::cout<<GridLogMessage <<"LLscale = "<<LLscale<<std::endl;
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std::cout<<GridLogMessage <<"LCscale = "<<LCscale<<std::endl;
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}
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std::vector<RealD> masses({ 0.00} ); // u/d, s, c ??
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int nmass = masses.size();
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std::vector<MobiusFermionD *> FermActs;
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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std::cout<<GridLogMessage <<"MobiusFermion action as Scaled Shamir kernel"<<std::endl;
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std::cout<<GridLogMessage <<"======================"<<std::endl;
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for(auto mass: masses) {
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RealD b=1.5;// Scale factor b+c=2, b-c=1
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RealD c=0.5;
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FermActs.push_back(new MobiusFermionD(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,b,c));
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}
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LatticePropagator point_source(UGrid);
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// LatticePropagator wall_source(UGrid);
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Coordinate Origin({0,0,0,0});
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PointSource (Origin,point_source);
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// Z2WallSource (RNG4,0,wall_source);
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std::vector<LatticePropagator> PointProps(nmass,UGrid);
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// std::vector<LatticePropagator> GaussProps(nmass,UGrid);
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// std::vector<LatticePropagator> Z2Props (nmass,UGrid);
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for(int m=0;m<nmass;m++) {
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Solve(*FermActs[m],point_source ,PointProps[m]);
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}
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LatticeComplex phase(UGrid);
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Coordinate mom({0,0,0,0});
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MakePhase(mom,phase);
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for(int m1=0 ;m1<nmass;m1++) {
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for(int m2=m1;m2<nmass;m2++) {
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std::stringstream ssp,ssg,ssz;
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ssp<<config<< "_m" << m1 << "_m"<< m2 << "_point_meson.xml";
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ssz<<config<< "_m" << m1 << "_m"<< m2 << "_wall_meson.xml";
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MesonTrace(ssp.str(),PointProps[m1],PointProps[m2],phase);
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// MesonTrace(ssz.str(),Z2Props[m1],Z2Props[m2],phase);
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}}
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Grid_finalize();
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}
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