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131 lines
4.0 KiB
C++
131 lines
4.0 KiB
C++
/*!
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@brief Declaration of Smear_APE class for APE smearing
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*/
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#ifndef APE_SMEAR_
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#define APE_SMEAR_
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namespace Grid {
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namespace QCD {
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/*! @brief APE type smearing of link variables. */
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template <class Gimpl>
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class Smear_APE: public Smear<Gimpl>{
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private:
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const std::vector<double> rho;/*!< Array of weights */
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//This member must be private - we do not want to control from outside
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std::vector<double> set_rho(const double common_rho) const {
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std::vector<double> res;
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for(int mn=0; mn<Nd*Nd; ++mn) res.push_back(common_rho);
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for(int mu=0; mu<Nd; ++mu) res[mu + mu*Nd] = 0.0;
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return res;
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}
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public:
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// Defines the gauge field types
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INHERIT_GIMPL_TYPES(Gimpl)
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// Constructors and destructors
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Smear_APE(const std::vector<double>& rho_):rho(rho_){} // check vector size
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Smear_APE(double rho_val):rho(set_rho(rho_val)){}
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Smear_APE():rho(set_rho(1.0)){}
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~Smear_APE(){}
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///////////////////////////////////////////////////////////////////////////////
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void smear(GaugeField& u_smr, const GaugeField& U)const{
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GridBase *grid = U._grid;
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GaugeLinkField Cup(grid), tmp_stpl(grid);
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WilsonLoops<Gimpl> WL;
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u_smr = zero;
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for(int mu=0; mu<Nd; ++mu){
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Cup = zero;
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for(int nu=0; nu<Nd; ++nu){
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if (nu != mu) {
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// get the staple in direction mu, nu
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WL.Staple(tmp_stpl, U, mu, nu); //nb staple conventions of IroIro and Grid differ by a dagger
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Cup += tmp_stpl*rho[mu + Nd * nu];
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}
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}
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// save the Cup link-field on the u_smr gauge-field
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pokeLorentz(u_smr, adj(Cup), mu); // u_smr[mu] = Cup^dag see conventions for Staple
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}
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}
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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& U)const{
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// Reference
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// Morningstar, Peardon, Phys.Rev.D69,054501(2004)
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// Equation 75
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// Computing Sigma_mu, derivative of S[fat links] with respect to the thin links
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// Output SigmaTerm
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GridBase *grid = U._grid;
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WilsonLoops<Gimpl> WL;
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GaugeLinkField staple(grid), u_tmp(grid);
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GaugeLinkField iLambda_mu(grid), iLambda_nu(grid);
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GaugeLinkField U_mu(grid), U_nu(grid);
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GaugeLinkField sh_field(grid), temp_Sigma(grid);
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Real rho_munu, rho_numu;
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for(int mu = 0; mu < Nd; ++mu){
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U_mu = peekLorentz( U, mu);
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iLambda_mu = peekLorentz(iLambda, mu);
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for(int nu = 0; nu < Nd; ++nu){
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if(nu==mu) continue;
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U_nu = peekLorentz( U, nu);
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iLambda_nu = peekLorentz(iLambda, nu);
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rho_munu = rho[mu + Nd * nu];
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rho_numu = rho[nu + Nd * mu];
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WL.StapleUpper(staple, U, mu, nu);
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temp_Sigma = -rho_numu*staple*iLambda_nu; //ok
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//-r_numu*U_nu(x+mu)*Udag_mu(x+nu)*Udag_nu(x)*Lambda_nu(x)
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Gimpl::AddLink(SigmaTerm, temp_Sigma, mu);
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sh_field = Cshift(iLambda_nu, mu, 1);// general also for Gparity?
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temp_Sigma = rho_numu*sh_field*staple; //ok
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//r_numu*Lambda_nu(mu)*U_nu(x+mu)*Udag_mu(x+nu)*Udag_nu(x)
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Gimpl::AddLink(SigmaTerm, temp_Sigma, mu);
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sh_field = Cshift(iLambda_mu, nu, 1);
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temp_Sigma = -rho_munu*staple*U_nu*sh_field*adj(U_nu); //ok
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//-r_munu*U_nu(x+mu)*Udag_mu(x+nu)*Lambda_mu(x+nu)*Udag_nu(x)
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Gimpl::AddLink(SigmaTerm, temp_Sigma, mu);
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staple = zero;
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sh_field = Cshift(U_nu, mu, 1);
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temp_Sigma = -rho_munu*adj(sh_field)*adj(U_mu)*iLambda_mu*U_nu;
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temp_Sigma += rho_numu*adj(sh_field)*adj(U_mu)*iLambda_nu*U_nu;
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u_tmp = adj(U_nu)*iLambda_nu;
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sh_field = Cshift(u_tmp, mu, 1);
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temp_Sigma += -rho_numu*sh_field*adj(U_mu)*U_nu;
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sh_field = Cshift(temp_Sigma, nu, -1);
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Gimpl::AddLink(SigmaTerm, sh_field, mu);
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}
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}
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}
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};
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}// namespace QCD
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}//namespace Grid
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#endif
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