mirror of
https://github.com/paboyle/Grid.git
synced 2024-09-20 17:25:37 +01:00
159 lines
5.1 KiB
C++
159 lines
5.1 KiB
C++
/*************************************************************************************
|
|
|
|
Grid physics library, www.github.com/paboyle/Grid
|
|
|
|
Source file: ./lib/qcd/modules/plaquette.h
|
|
|
|
Copyright (C) 2017
|
|
|
|
Author: Guido Cossu <guido.cossu@ed.ac.uk>
|
|
|
|
This program is free software; you can redistribute it and/or modify
|
|
it under the terms of the GNU General Public License as published by
|
|
the Free Software Foundation; either version 2 of the License, or
|
|
(at your option) any later version.
|
|
|
|
This program is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU General Public License for more details.
|
|
|
|
You should have received a copy of the GNU General Public License along
|
|
with this program; if not, write to the Free Software Foundation, Inc.,
|
|
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
|
|
|
|
See the full license in the file "LICENSE" in the top level distribution
|
|
directory
|
|
*************************************************************************************/
|
|
/* END LEGAL */
|
|
/*!
|
|
@brief Declaration of Smear_APE class for APE smearing
|
|
*/
|
|
|
|
#ifndef APE_SMEAR_
|
|
#define APE_SMEAR_
|
|
|
|
namespace Grid {
|
|
namespace QCD {
|
|
|
|
|
|
/*! @brief APE type smearing of link variables. */
|
|
template <class Gimpl>
|
|
class Smear_APE: public Smear<Gimpl>{
|
|
private:
|
|
const std::vector<double> rho;/*!< Array of weights */
|
|
|
|
//This member must be private - we do not want to control from outside
|
|
std::vector<double> set_rho(const double common_rho) const {
|
|
std::vector<double> res;
|
|
|
|
for(int mn=0; mn<Nd*Nd; ++mn) res.push_back(common_rho);
|
|
for(int mu=0; mu<Nd; ++mu) res[mu + mu*Nd] = 0.0;
|
|
return res;
|
|
}
|
|
|
|
public:
|
|
// Defines the gauge field types
|
|
INHERIT_GIMPL_TYPES(Gimpl)
|
|
|
|
|
|
// Constructors and destructors
|
|
Smear_APE(const std::vector<double>& rho_):rho(rho_){} // check vector size
|
|
Smear_APE(double rho_val):rho(set_rho(rho_val)){}
|
|
Smear_APE():rho(set_rho(1.0)){}
|
|
~Smear_APE(){}
|
|
|
|
///////////////////////////////////////////////////////////////////////////////
|
|
void smear(GaugeField& u_smr, const GaugeField& U)const{
|
|
GridBase *grid = U._grid;
|
|
GaugeLinkField Cup(grid), tmp_stpl(grid);
|
|
WilsonLoops<Gimpl> WL;
|
|
u_smr = zero;
|
|
|
|
for(int mu=0; mu<Nd; ++mu){
|
|
Cup = zero;
|
|
for(int nu=0; nu<Nd; ++nu){
|
|
if (nu != mu) {
|
|
// get the staple in direction mu, nu
|
|
WL.Staple(tmp_stpl, U, mu, nu); //nb staple conventions of IroIro and Grid differ by a dagger
|
|
Cup += tmp_stpl*rho[mu + Nd * nu];
|
|
}
|
|
}
|
|
// save the Cup link-field on the u_smr gauge-field
|
|
pokeLorentz(u_smr, adj(Cup), mu); // u_smr[mu] = Cup^dag see conventions for Staple
|
|
}
|
|
}
|
|
|
|
////////////////////////////////////////////////////////////////////////////////
|
|
void derivative(GaugeField& SigmaTerm,
|
|
const GaugeField& iLambda,
|
|
const GaugeField& U)const{
|
|
|
|
// Reference
|
|
// Morningstar, Peardon, Phys.Rev.D69,054501(2004)
|
|
// Equation 75
|
|
// Computing Sigma_mu, derivative of S[fat links] with respect to the thin links
|
|
// Output SigmaTerm
|
|
|
|
GridBase *grid = U._grid;
|
|
|
|
WilsonLoops<Gimpl> WL;
|
|
GaugeLinkField staple(grid), u_tmp(grid);
|
|
GaugeLinkField iLambda_mu(grid), iLambda_nu(grid);
|
|
GaugeLinkField U_mu(grid), U_nu(grid);
|
|
GaugeLinkField sh_field(grid), temp_Sigma(grid);
|
|
Real rho_munu, rho_numu;
|
|
|
|
for(int mu = 0; mu < Nd; ++mu){
|
|
U_mu = peekLorentz( U, mu);
|
|
iLambda_mu = peekLorentz(iLambda, mu);
|
|
|
|
for(int nu = 0; nu < Nd; ++nu){
|
|
if(nu==mu) continue;
|
|
U_nu = peekLorentz( U, nu);
|
|
iLambda_nu = peekLorentz(iLambda, nu);
|
|
|
|
rho_munu = rho[mu + Nd * nu];
|
|
rho_numu = rho[nu + Nd * mu];
|
|
|
|
WL.StapleUpper(staple, U, mu, nu);
|
|
|
|
temp_Sigma = -rho_numu*staple*iLambda_nu; //ok
|
|
//-r_numu*U_nu(x+mu)*Udag_mu(x+nu)*Udag_nu(x)*Lambda_nu(x)
|
|
Gimpl::AddLink(SigmaTerm, temp_Sigma, mu);
|
|
|
|
sh_field = Cshift(iLambda_nu, mu, 1);// general also for Gparity?
|
|
|
|
temp_Sigma = rho_numu*sh_field*staple; //ok
|
|
//r_numu*Lambda_nu(mu)*U_nu(x+mu)*Udag_mu(x+nu)*Udag_nu(x)
|
|
Gimpl::AddLink(SigmaTerm, temp_Sigma, mu);
|
|
|
|
sh_field = Cshift(iLambda_mu, nu, 1);
|
|
|
|
temp_Sigma = -rho_munu*staple*U_nu*sh_field*adj(U_nu); //ok
|
|
//-r_munu*U_nu(x+mu)*Udag_mu(x+nu)*Lambda_mu(x+nu)*Udag_nu(x)
|
|
Gimpl::AddLink(SigmaTerm, temp_Sigma, mu);
|
|
|
|
staple = zero;
|
|
sh_field = Cshift(U_nu, mu, 1);
|
|
|
|
temp_Sigma = -rho_munu*adj(sh_field)*adj(U_mu)*iLambda_mu*U_nu;
|
|
temp_Sigma += rho_numu*adj(sh_field)*adj(U_mu)*iLambda_nu*U_nu;
|
|
|
|
u_tmp = adj(U_nu)*iLambda_nu;
|
|
sh_field = Cshift(u_tmp, mu, 1);
|
|
temp_Sigma += -rho_numu*sh_field*adj(U_mu)*U_nu;
|
|
sh_field = Cshift(temp_Sigma, nu, -1);
|
|
Gimpl::AddLink(SigmaTerm, sh_field, mu);
|
|
|
|
}
|
|
}
|
|
}
|
|
};
|
|
|
|
|
|
|
|
}// namespace QCD
|
|
}//namespace Grid
|
|
#endif
|