Grid/lib/qcd/action/gauge/WilsonGaugeAction.h

/*************************************************************************************

Grid physics library, www.github.com/paboyle/Grid

Source file: ./lib/qcd/action/gauge/WilsonGaugeAction.h

Copyright (C) 2015

Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: neo <cossu@post.kek.jp>
Author: paboyle <paboyle@ph.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 */
#ifndef QCD_WILSON_GAUGE_ACTION_H
#define QCD_WILSON_GAUGE_ACTION_H

namespace Grid {
namespace QCD {

////////////////////////////////////////////////////////////////////////
// Wilson Gauge Action .. should I template the Nc etc..
////////////////////////////////////////////////////////////////////////
template <class Gimpl>
class WilsonGaugeAction : public Action<typename Gimpl::GaugeField> {
 public:
  INHERIT_GIMPL_TYPES(Gimpl);

  //      typedef LorentzScalar<GaugeField> GaugeLinkField;

 private:
  RealD beta;

 public:
  WilsonGaugeAction(RealD b) : beta(b){};

  virtual std::string action_name(){return "WilsonGaugeAction";}

  virtual void refresh(const GaugeField &U,
                       GridParallelRNG &pRNG){};  // noop as no pseudoferms

  virtual RealD S(const GaugeField &U) {
    RealD plaq = WilsonLoops<Gimpl>::avgPlaquette(U);
    RealD vol = U._grid->gSites();
    RealD action = beta * (1.0 - plaq) * (Nd * (Nd - 1.0)) * vol * 0.5;
    return action;
  };

  virtual void deriv(const GaugeField &U, GaugeField &dSdU) {
    // not optimal implementation FIXME
    // extend Ta to include Lorentz indexes

    RealD factor = 0.5 * beta / RealD(Nc);

    GaugeLinkField Umu(U._grid);
    GaugeLinkField dSdU_mu(U._grid);
    for (int mu = 0; mu < Nd; mu++) {
      Umu = PeekIndex<LorentzIndex>(U, mu);

      // Staple in direction mu
      WilsonLoops<Gimpl>::Staple(dSdU_mu, U, mu);
      dSdU_mu = Ta(Umu * dSdU_mu) * factor;

      PokeIndex<LorentzIndex>(dSdU, dSdU_mu, mu);
    }

  };
};


}
}

#endif