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160 lines
4.1 KiB
C++
160 lines
4.1 KiB
C++
/*
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@file stoutSmear.hpp
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@brief Declares Stout smearing class
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*/
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#ifndef STOUT_SMEAR_
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#define STOUT_SMEAR_
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namespace Grid {
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namespace QCD {
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/*! @brief Stout smearing of link variable. */
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template <class Gimpl>
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class Smear_Stout: public Smear<Gimpl> {
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private:
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const std::vector<double> d_rho;
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const Smear < Gimpl > * SmearBase;
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public:
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INHERIT_GIMPL_TYPES(Gimpl)
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Smear_Stout(Smear < Gimpl >* base):SmearBase(base){
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static_assert(Nc==3, "Stout smearing currently implemented only for Nc==3");
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}
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/*! Default constructor */
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Smear_Stout():SmearBase(new Smear_APE < Gimpl > ()){
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static_assert(Nc==3, "Stout smearing currently implemented only for Nc==3");
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}
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~Smear_Stout(){}
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void smear(GaugeField& u_smr,const GaugeField& U) const{
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GaugeField C(U._grid);
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GaugeLinkField tmp(U._grid), q_mu(U._grid), Umu(U._grid);
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std::cout<< GridLogDebug << "Stout smearing started\n";
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//Smear the configurations
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SmearBase->smear(C, U);
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for (int mu = 0; mu<Nd; mu++){
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tmp = peekLorentz(C,mu);
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Umu = peekLorentz(U,mu);
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q_mu = Ta(tmp * adj(Umu)); // q_mu = Ta(Omega_mu)
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exponentiate_iQ(tmp, q_mu);
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pokeLorentz(u_smr, tmp*Umu, mu);// u_smr = exp(iQ_mu)*U_mu
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}
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std::cout<< GridLogDebug << "Stout smearing completed\n";
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}
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void derivative(GaugeField& SigmaTerm,
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const GaugeField& iLambda,
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const GaugeField& Gauge) const{
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SmearBase->derivative(SigmaTerm, iLambda, Gauge);
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}
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void BaseSmear(GaugeField& C,
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const GaugeField& U) const{
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SmearBase->smear(C, U);
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}
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void exponentiate_iQ(GaugeLinkField& e_iQ,
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const GaugeLinkField& iQ) const{
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// Put this outside
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// only valid for SU(3) matrices
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// only one Lorentz direction at a time
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GridBase *grid = iQ._grid;
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GaugeLinkField unity(grid);
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unity=1.0;
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GaugeLinkField iQ2(grid), iQ3(grid);
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LatticeReal u(grid), w(grid);
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LatticeComplex f0(grid), f1(grid), f2(grid);
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iQ2 = iQ * iQ;
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iQ3 = iQ * iQ2;
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set_uw(u, w, iQ2, iQ3);
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set_fj(f0, f1, f2, u, w);
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e_iQ = f0*unity + timesMinusI(f1) * iQ - f2 * iQ2;
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};
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void set_uw(LatticeReal& u, LatticeReal& w,
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GaugeLinkField& iQ2, GaugeLinkField& iQ3) const{
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Real one_over_three = 1.0/3.0;
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Real one_over_two = 1.0/2.0;
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GridBase *grid = u._grid;
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LatticeReal c0(grid), c1(grid), tmp(grid), c0max(grid), theta(grid);
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c0 = - toReal(imag(trace(iQ3))) * one_over_three;
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c1 = - toReal(real(trace(iQ2))) * one_over_two;
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tmp = c1 * one_over_three;
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c0max = 2.0 * pow(tmp, 1.5);
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theta = acos(c0/c0max);
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u = sqrt(tmp) * cos( theta * one_over_three);
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w = sqrt(c1) * sin ( theta * one_over_three);
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}
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void set_fj(LatticeComplex& f0, LatticeComplex& f1, LatticeComplex& f2,
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const LatticeReal& u, const LatticeReal& w) const{
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GridBase *grid = u._grid;
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LatticeReal xi0(grid), u2(grid), w2(grid), cosw(grid), tmp(grid);
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LatticeComplex fden(grid);
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LatticeComplex h0(grid), h1(grid), h2(grid);
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LatticeComplex e2iu(grid), emiu(grid), ixi0(grid), qt(grid);
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xi0 = func_xi0(w);
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u2 = u * u;
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w2 = w * w;
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cosw = cos(w);
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ixi0 = timesI(toComplex(xi0));
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emiu = toComplex(cos(u)) - timesI(toComplex(u));
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e2iu = toComplex(cos(2.0*u)) + timesI(toComplex(2.0*u));
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h0 = e2iu * toComplex(u2 - w2) + emiu *( toComplex(8.0*u2*cosw) +
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toComplex(2.0*u*(3.0*u2 + w2))*ixi0);
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h1 = toComplex(2.0*u) * e2iu - emiu*( toComplex(2.0*u*cosw) -
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toComplex(3.0*u2-w2)*ixi0);
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h2 = e2iu - emiu * (toComplex(cosw) + toComplex(3.0*u)*ixi0);
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tmp = 9.0*u2 - w2;
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fden = toComplex(pow(tmp, -1.0));
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f0 = h0 * fden;
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f1 = h1 * fden;
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f2 = h2 * fden;
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}
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LatticeReal func_xi0(LatticeReal w) const{
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// Define a function to do the check
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//if( w < 1e-4 ) std::cout << GridLogWarning<< "[Smear_stout] w too small: "<< w <<"\n";
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return sin(w)/w;
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}
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LatticeReal func_xi1(LatticeReal w) const{
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// Define a function to do the check
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//if( w < 1e-4 ) std::cout << GridLogWarning << "[Smear_stout] w too small: "<< w <<"\n";
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return cos(w)/(w*w) - sin(w)/(w*w*w);
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}
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};
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}
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}
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#endif
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