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Peter Boyle
parent
ed1f20f3a1
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67e08aa952
404
examples/Example_wall_wall_spectrum.cc
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404
examples/Example_wall_wall_spectrum.cc
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/*
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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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typedef SpinColourMatrix Propagator;
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typedef SpinColourVector Fermion;
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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 GFWallSource(int tslice,LatticePropagator &source)
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{
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GridBase *grid = source.Grid();
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LatticeComplex one(grid); one = ComplexD(1.0,0.0);
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LatticeComplex zz(grid); zz=Zero();
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LatticeInteger t(grid);
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LatticeCoordinate(t,Tdir);
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one = where(t==Integer(tslice), one, zz);
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source = 1.0;
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source = source * one;
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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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void GaugeFix(LatticeGaugeField &U,LatticeGaugeField &Ufix)
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{
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Real alpha=0.05;
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Real plaq=WilsonLoops<PeriodicGimplR>::avgPlaquette(U);
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std::cout << " Initial plaquette "<<plaq << std::endl;
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LatticeColourMatrix xform(U.Grid());
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Ufix = U;
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int orthog=Nd-1;
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FourierAcceleratedGaugeFixer<PeriodicGimplR>::SteepestDescentGaugeFix(Ufix,xform,alpha,10000,1.0e-12, 1.0e-12,true,orthog);
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plaq=WilsonLoops<PeriodicGimplR>::avgPlaquette(Ufix);
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std::cout << " Final plaquette "<<plaq << 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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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>(propagator,result4,s,c);
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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=4;
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Gamma::Algebra Gammas[nchannel][2] = {
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{Gamma::Algebra::Gamma5 ,Gamma::Algebra::Gamma5},
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{Gamma::Algebra::GammaTGamma5,Gamma::Algebra::GammaTGamma5},
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{Gamma::Algebra::GammaTGamma5,Gamma::Algebra::Gamma5},
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{Gamma::Algebra::Gamma5 ,Gamma::Algebra::GammaTGamma5}
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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]); // Yes this is ugly, not figured a work around
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std::cout << " channel "<<ch<<" t "<<t<<" " <<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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void WallSinkMesonTrace(std::string file,std::vector<Propagator> &q1,std::vector<Propagator> &q2)
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{
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const int nchannel=4;
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Gamma::Algebra Gammas[nchannel][2] = {
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{Gamma::Algebra::Gamma5 ,Gamma::Algebra::Gamma5},
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{Gamma::Algebra::GammaTGamma5,Gamma::Algebra::GammaTGamma5},
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{Gamma::Algebra::GammaTGamma5,Gamma::Algebra::Gamma5},
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{Gamma::Algebra::Gamma5 ,Gamma::Algebra::GammaTGamma5}
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};
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Gamma G5(Gamma::Algebra::Gamma5);
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int nt=q1.size();
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std::vector<Complex> meson_CF(nt);
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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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std::vector<Complex> corr(nt);
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for(int t=0;t<nt;t++){
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meson_CF[t] = trace(G5*adj(q1[t])*G5*Gsnk*q2[t]*adj(Gsrc));
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corr[t] = TensorRemove(meson_CF[t]); // Yes this is ugly, not figured a work around
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std::cout << " channel "<<ch<<" t "<<t<<" " <<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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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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//////////////////////////////////////////////////////////////////////
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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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LatticeGaugeField Ufixed(UGrid);
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std::string config;
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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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}
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else
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{
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std::cout<<GridLogMessage <<"Using hot configuration"<<std::endl;
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SU<Nc>::ColdConfiguration(Umu);
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// SU<Nc>::HotConfiguration(RNG4,Umu);
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config="HotConfig";
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}
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GaugeFix(Umu,Ufixed);
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Umu=Ufixed;
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std::vector<RealD> masses({ 0.004,0.02477,0.447} ); // u/d, s, c ??
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std::vector<RealD> M5s ({ 1.8,1.8,1.0} );
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std::vector<RealD> bs ({ 1.0,1.0,1.5} ); // DDM
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std::vector<RealD> cs ({ 0.0,0.0,0.5} ); // DDM
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std::vector<int> Ls_s ({ 16,16,12} );
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std::vector<GridCartesian *> FGrids;
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std::vector<GridRedBlackCartesian *> FrbGrids;
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int nmass = masses.size();
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std::vector<MobiusFermionR *> 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(int m=0;m<masses.size();m++) {
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RealD mass = masses[m];
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RealD M5 = M5s[m];
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RealD b = bs[m];
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RealD c = cs[m];
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int Ls = Ls_s[m];
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FGrids.push_back(SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid));
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FrbGrids.push_back(SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid));
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FermActs.push_back(new MobiusFermionR(Umu,*FGrids[m],*FrbGrids[m],*UGrid,*UrbGrid,mass,M5,b,c));
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}
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LatticePropagator point_source(UGrid);
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LatticePropagator z2wall_source(UGrid);
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LatticePropagator gfwall_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,z2wall_source);
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GFWallSource (0,gfwall_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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std::vector<LatticePropagator> GFProps (nmass,UGrid);
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for(int m=0;m<nmass;m++) {
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Solve(*FermActs[m],z2wall_source ,Z2Props[m]);
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Solve(*FermActs[m],gfwall_source ,GFProps[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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std::vector<std::vector<Propagator> > wsnk_z2Props(nmass);
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std::vector<std::vector<Propagator> > wsnk_gfProps(nmass);
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for(int m=0;m<nmass;m++){
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sliceSum(Z2Props[m],wsnk_z2Props[m],Tdir);
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sliceSum(GFProps[m],wsnk_gfProps[m],Tdir);
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}
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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 ssg,ssz;
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std::stringstream wssg,wssz;
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/// Point sinks
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ssg<<config<< "_m" << m1 << "_m"<< m2 << "p_gf_meson.xml";
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ssz<<config<< "_m" << m1 << "_m"<< m2 << "p_z2_meson.xml";
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MesonTrace(ssz.str(),Z2Props[m1],Z2Props[m2],phase);
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/// Wall sinks
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wssg<<config<< "_m" << m1 << "_m"<< m2 << "w_gf_meson.xml";
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wssz<<config<< "_m" << m1 << "_m"<< m2 << "w_z2_meson.xml";
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WallSinkMesonTrace(wssg.str(),wsnk_gfProps[m1],wsnk_gfProps[m2]);
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WallSinkMesonTrace(wssz.str(),wsnk_z2Props[m1],wsnk_z2Props[m2]);
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}}
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Grid_finalize();
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}
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