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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./lib/qcd/action/pseudofermion/DomainDecomposedTwoFlavourBoundary.h
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Copyright (C) 2021
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Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License along
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with this program; if not, write to the Free Software Foundation, Inc.,
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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See the full license in the file "LICENSE" in the top level distribution directory
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*************************************************************************************/
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/* END LEGAL */
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#pragma once
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NAMESPACE_BEGIN(Grid);
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///////////////////////////////////////
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// Two flavour ratio
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///////////////////////////////////////
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template<class Impl>
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class DomainDecomposedBoundaryTwoFlavourPseudoFermion : public Action<typename Impl::GaugeField> {
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public:
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INHERIT_IMPL_TYPES(Impl);
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private:
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SchurFactoredFermionOperator<Impl> & DenOp;// the basic operator
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OperatorFunction<FermionField> &DerivativeSolver;
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OperatorFunction<FermionField> &ActionSolver;
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FermionField Phi; // the pseudo fermion field for this trajectory
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RealD refresh_action;
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public:
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DomainDecomposedBoundaryTwoFlavourPseudoFermion(SchurFactoredFermionOperator<Impl> &_DenOp,
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OperatorFunction<FermionField> & DS,
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OperatorFunction<FermionField> & AS
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) : DenOp(_DenOp),
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DerivativeSolver(DS), ActionSolver(AS),
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Phi(_DenOp.FermOp.FermionGrid()) {};
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virtual std::string action_name(){return "DomainDecomposedBoundaryTwoFlavourPseudoFermion";}
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virtual std::string LogParameters(){
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std::stringstream sstream;
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return sstream.str();
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}
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virtual void refresh(const GaugeField &U, GridSerialRNG& sRNG, GridParallelRNG& pRNG)
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{
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// P(phi) = e^{- phi^dag Rdag^-1 R^-1 phi}
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//
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// DenOp == R
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//
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// Take phi = R eta ; eta = R^-1 Phi
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//
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// P(eta) = e^{- eta^dag eta}
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//
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// e^{x^2/2 sig^2} => sig^2 = 0.5.
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//
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// So eta should be of width sig = 1/sqrt(2) and must multiply by 0.707....
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//
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RealD scale = std::sqrt(0.5);
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DenOp.ImportGauge(U);
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FermionField eta(DenOp.FermOp.FermionGrid());
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gaussian(pRNG,eta); eta=eta*scale;
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DenOp.ProjectBoundaryBar(eta);
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DenOp.R(eta,Phi);
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refresh_action = norm2(eta);
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};
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//////////////////////////////////////////////////////
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// S = phi^dag Rdag^-1 R^-1 phi
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//////////////////////////////////////////////////////
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virtual RealD S(const GaugeField &U) {
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DenOp.ImportGauge(U);
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FermionField X(DenOp.FermOp.FermionGrid());
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DenOp.RInv(Phi,X);
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RealD action = norm2(X);
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return action;
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};
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virtual void deriv(const GaugeField &U,GaugeField & dSdU)
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{
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DenOp.ImportGauge(U);
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GridBase *fgrid = DenOp.FermOp.FermionGrid();
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GridBase *ugrid = DenOp.FermOp.GaugeGrid();
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FermionField X(fgrid);
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FermionField Y(fgrid);
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FermionField tmp(fgrid);
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GaugeField force(ugrid);
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FermionField DiDdb_Phi(fgrid); // Vector C in my notes
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FermionField DidRinv_Phi(fgrid); // Vector D in my notes
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FermionField DdbdDidRinv_Phi(fgrid);
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FermionField Rinv_Phi(fgrid);
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FermionField RinvDagRinv_Phi(fgrid);
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// R^-1 term
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DenOp.dBoundaryBar(Phi,tmp);
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DenOp.Dinverse(tmp,DiDdb_Phi); // Vector C
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Rinv_Phi = Phi - DiDdb_Phi;
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DenOp.ProjectBoundaryBar(Rinv_Phi);
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// R^-dagger R^-1 term
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DenOp.DinverseDag(Rinv_Phi,DidRinv_Phi); // Vector D
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DenOp.dBoundaryBarDag(DidRinv_Phi,DdbdDidRinv_Phi);
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RinvDagRinv_Phi = Rinv_Phi - DdbdDidRinv_Phi;
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DenOp.ProjectBoundaryBar(RinvDagRinv_Phi);
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X = DiDdb_Phi;
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Y = DidRinv_Phi;
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DenOp.FermOp.MDeriv(force,Y,X,DaggerNo); dSdU=force;
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DenOp.FermOp.MDeriv(force,X,Y,DaggerYes); dSdU=dSdU+force;
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dSdU *= -1.0;
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};
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};
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NAMESPACE_END(Grid);
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