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210 lines
7.3 KiB
C++
210 lines
7.3 KiB
C++
/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./lib/qcd/action/pseudofermion/TwoFlavourEvenOddRatio.h
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Copyright (C) 2015
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Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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Author: paboyle <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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#ifndef QCD_PSEUDOFERMION_TWO_FLAVOUR_EVEN_ODD_RATIO_H
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#define QCD_PSEUDOFERMION_TWO_FLAVOUR_EVEN_ODD_RATIO_H
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namespace Grid{
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namespace QCD{
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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 TwoFlavourEvenOddRatioPseudoFermionAction : 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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FermionOperator<Impl> & NumOp;// the basic operator
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FermionOperator<Impl> & DenOp;// the basic operator
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OperatorFunction<FermionField> &DerivativeSolver;
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OperatorFunction<FermionField> &ActionSolver;
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FermionField PhiOdd; // the pseudo fermion field for this trajectory
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FermionField PhiEven; // the pseudo fermion field for this trajectory
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public:
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TwoFlavourEvenOddRatioPseudoFermionAction(FermionOperator<Impl> &_NumOp,
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FermionOperator<Impl> &_DenOp,
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OperatorFunction<FermionField> & DS,
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OperatorFunction<FermionField> & AS) :
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NumOp(_NumOp),
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DenOp(_DenOp),
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DerivativeSolver(DS),
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ActionSolver(AS),
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PhiEven(_NumOp.FermionRedBlackGrid()),
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PhiOdd(_NumOp.FermionRedBlackGrid())
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{
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conformable(_NumOp.FermionGrid(), _DenOp.FermionGrid());
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conformable(_NumOp.FermionRedBlackGrid(), _DenOp.FermionRedBlackGrid());
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conformable(_NumOp.GaugeGrid(), _DenOp.GaugeGrid());
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conformable(_NumOp.GaugeRedBlackGrid(), _DenOp.GaugeRedBlackGrid());
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};
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virtual std::string action_name(){return "TwoFlavourEvenOddRatioPseudoFermionAction";}
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virtual std::string LogParameters(){
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std::stringstream sstream;
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sstream << GridLogMessage << "["<<action_name()<<"] has no parameters" << std::endl;
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return sstream.str();
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}
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virtual void refresh(const GaugeField &U, GridParallelRNG& pRNG) {
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// P(phi) = e^{- phi^dag Vpc (MpcdagMpc)^-1 Vpcdag phi}
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//
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// NumOp == V
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// DenOp == M
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//
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// Take phi_o = Vpcdag^{-1} Mpcdag eta_o ; eta_o = Mpcdag^{-1} Vpcdag Phi
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//
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// P(eta_o) = e^{- eta_o^dag eta_o}
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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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RealD scale = std::sqrt(0.5);
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FermionField eta (NumOp.FermionGrid());
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FermionField etaOdd (NumOp.FermionRedBlackGrid());
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FermionField etaEven(NumOp.FermionRedBlackGrid());
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FermionField tmp (NumOp.FermionRedBlackGrid());
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gaussian(pRNG,eta);
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pickCheckerboard(Even,etaEven,eta);
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pickCheckerboard(Odd,etaOdd,eta);
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NumOp.ImportGauge(U);
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DenOp.ImportGauge(U);
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SchurDifferentiableOperator<Impl> Mpc(DenOp);
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SchurDifferentiableOperator<Impl> Vpc(NumOp);
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// Odd det factors
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Mpc.MpcDag(etaOdd,PhiOdd);
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tmp=zero;
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ActionSolver(Vpc,PhiOdd,tmp);
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Vpc.Mpc(tmp,PhiOdd);
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// Even det factors
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DenOp.MooeeDag(etaEven,tmp);
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NumOp.MooeeInvDag(tmp,PhiEven);
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PhiOdd =PhiOdd*scale;
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PhiEven=PhiEven*scale;
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};
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//////////////////////////////////////////////////////
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// S = phi^dag V (Mdag M)^-1 Vdag phi
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//////////////////////////////////////////////////////
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virtual RealD S(const GaugeField &U) {
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NumOp.ImportGauge(U);
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DenOp.ImportGauge(U);
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SchurDifferentiableOperator<Impl> Mpc(DenOp);
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SchurDifferentiableOperator<Impl> Vpc(NumOp);
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FermionField X(NumOp.FermionRedBlackGrid());
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FermionField Y(NumOp.FermionRedBlackGrid());
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Vpc.MpcDag(PhiOdd,Y); // Y= Vdag phi
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X=zero;
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ActionSolver(Mpc,Y,X); // X= (MdagM)^-1 Vdag phi
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//Mpc.Mpc(X,Y); // Y= Mdag^-1 Vdag phi
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// Multiply by Ydag
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RealD action = real(innerProduct(Y,X));
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//RealD action = norm2(Y);
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// The EE factorised block; normally can replace with zero if det is constant (gauge field indept)
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// Only really clover term that creates this. Leave the EE portion as a future to do to make most
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// rapid progresss on DWF for now.
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//
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NumOp.MooeeDag(PhiEven,X);
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DenOp.MooeeInvDag(X,Y);
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action = action + norm2(Y);
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return action;
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};
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//////////////////////////////////////////////////////
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// dS/du = phi^dag dV (Mdag M)^-1 V^dag phi
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// - phi^dag V (Mdag M)^-1 [ Mdag dM + dMdag M ] (Mdag M)^-1 V^dag phi
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// + phi^dag V (Mdag M)^-1 dV^dag phi
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//////////////////////////////////////////////////////
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virtual void deriv(const GaugeField &U,GaugeField & dSdU) {
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NumOp.ImportGauge(U);
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DenOp.ImportGauge(U);
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SchurDifferentiableOperator<Impl> Mpc(DenOp);
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SchurDifferentiableOperator<Impl> Vpc(NumOp);
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FermionField X(NumOp.FermionRedBlackGrid());
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FermionField Y(NumOp.FermionRedBlackGrid());
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// This assignment is necessary to be compliant with the HMC grids
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GaugeField force(dSdU._grid);
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//Y=Vdag phi
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//X = (Mdag M)^-1 V^dag phi
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//Y = (Mdag)^-1 V^dag phi
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Vpc.MpcDag(PhiOdd,Y); // Y= Vdag phi
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X=zero;
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DerivativeSolver(Mpc,Y,X); // X= (MdagM)^-1 Vdag phi
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Mpc.Mpc(X,Y); // Y= Mdag^-1 Vdag phi
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// phi^dag V (Mdag M)^-1 dV^dag phi
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Vpc.MpcDagDeriv(force , X, PhiOdd ); dSdU = force;
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// phi^dag dV (Mdag M)^-1 V^dag phi
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Vpc.MpcDeriv(force , PhiOdd, X ); dSdU = dSdU+force;
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// - phi^dag V (Mdag M)^-1 Mdag dM (Mdag M)^-1 V^dag phi
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// - phi^dag V (Mdag M)^-1 dMdag M (Mdag M)^-1 V^dag phi
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Mpc.MpcDeriv(force,Y,X); dSdU = dSdU-force;
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Mpc.MpcDagDeriv(force,X,Y); dSdU = dSdU-force;
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// FIXME No force contribution from EvenEven assumed here
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// Needs a fix for clover.
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assert(NumOp.ConstEE() == 1);
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assert(DenOp.ConstEE() == 1);
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dSdU = -dSdU;
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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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