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RdagR inverse

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This commit is contained in:
Peter Boyle
2021-05-14 22:21:23 -04:00
parent 34ca4dd53a
commit 09b233b82e
1 changed files with 41 additions and 90 deletions
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131
Grid/qcd/action/pseudofermion/DomainDecomposedTwoFlavourBoundary.h
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@@ -38,7 +38,6 @@ public:
INHERIT_IMPL_TYPES(Impl);
private:
SchurFactoredFermionOperator<Impl> & NumOp;// the basic operator
SchurFactoredFermionOperator<Impl> & DenOp;// the basic operator
OperatorFunction<FermionField> &DerivativeSolver;
@@ -46,16 +45,16 @@ private:
FermionField Phi; // the pseudo fermion field for this trajectory
RealD refresh_action;
public:
DomainBoundaryPseudoFermionAction(SchurFactoredFermionOperator<Impl> &_NumOp,
SchurFactoredFermionOperator<Impl> &_DenOp,
DomainBoundaryPseudoFermionAction(SchurFactoredFermionOperator<Impl> &_DenOp,
OperatorFunction<FermionField> & DS,
OperatorFunction<FermionField> & AS
) : NumOp(_NumOp), DenOp(_DenOp),
) : DenOp(_DenOp),
DerivativeSolver(DS), ActionSolver(AS),
Phi(_NumOp.FermionGrid()) {};
Phi(_DenOp.FermOp.FermionGrid()) {};
virtual std::string action_name(){return "DomainBoundaryPseudoFermionRatioAction";}
virtual std::string action_name(){return "DomainBoundaryPseudoFermionAction";}
virtual std::string LogParameters(){
@@ -63,14 +62,13 @@ public:
return sstream.str();
}
virtual void refresh(const GaugeField &U, GridParallelRNG& pRNG)
virtual void refresh(const GaugeField &U, GridSerialRNG& sRNG, GridParallelRNG& pRNG)
{
// P(phi) = e^{- phi^dag P^dag Rdag^-1 R^-1 P phi}
// P(phi) = e^{- phi^dag Rdag^-1 R^-1 phi}
//
// NumOp == P
// DenOp == R
//
// Take phi = P^{-1} R eta ; eta = R^-1 P Phi
// Take phi = R eta ; eta = R^-1 Phi
//
// P(eta) = e^{- eta^dag eta}
//
@@ -80,55 +78,40 @@ public:
//
RealD scale = std::sqrt(0.5);
NumOp.ImportGauge(U);
DenOp.ImportGauge(U);
FermionField eta(NumOp.FermOp.FermionGrid());
FermionField tmp(NumOp.FermOp.FermionGrid());
FermionField eta(DenOp.FermOp.FermionGrid());
gaussian(pRNG,eta);
gaussian(pRNG,eta); eta=eta*scale;
DenOp.ProjectBoundaryBar(eta);
DenOp.R(eta,Phi);
NumOp.ProjectBoundaryBar(eta);
NumOp.R(eta,tmp);
DenOp.RInv(tmp,Phi);
Phi=Phi*scale;
NumOp.ProjectBoundaryBar(Phi);
refresh_action = norm2(eta);
};
//////////////////////////////////////////////////////
// S = phi^dag V (Mdag M)^-1 Vdag phi
// S = phi^dag Rdag^-1 R^-1 phi
//////////////////////////////////////////////////////
virtual RealD S(const GaugeField &U) {
NumOp.ImportGauge(U);
DenOp.ImportGauge(U);
FermionField X(NumOp.FermOp.FermionGrid());
FermionField Y(NumOp.FermOp.FermionGrid());
FermionField X(DenOp.FermOp.FermionGrid());
NumOp.R(Phi,Y);
DenOp.RInv(Y,X);
DenOp.RInv(Phi,X);
RealD action = norm2(X);
return action;
};
//////////////////////////////////////////////////////
// dS/du = phi^dag dV (Mdag M)^-1 V^dag phi
// - phi^dag V (Mdag M)^-1 [ Mdag dM + dMdag M ] (Mdag M)^-1 V^dag phi
// + phi^dag V (Mdag M)^-1 dV^dag phi
//////////////////////////////////////////////////////
virtual void deriv(const GaugeField &U,GaugeField & dSdU) {
NumOp.ImportGauge(U);
virtual void deriv(const GaugeField &U,GaugeField & dSdU)
{
DenOp.ImportGauge(U);
GridBase *fgrid = NumOp.FermOp.FermionGrid();
GridBase *ugrid = NumOp.FermOp.GaugeGrid();
GridBase *fgrid = DenOp.FermOp.FermionGrid();
GridBase *ugrid = DenOp.FermOp.GaugeGrid();
FermionField X(fgrid);
FermionField Y(fgrid);
@@ -136,66 +119,34 @@ public:
GaugeField force(ugrid);
FermionField DobiDdbPhi(fgrid); // Vector A in my notes
FermionField DoiDdDobiDdbPhi(fgrid); // Vector B in my notes
FermionField DiDdbP_Phi(fgrid); // Vector C in my notes
FermionField DidRinvP_Phi(fgrid); // Vector D in my notes
FermionField DoidRinvDagRinvP_Phi(fgrid); // Vector E in my notes
FermionField DobidDddDoidRinvDagRinvP_Phi(fgrid); // Vector F in my notes
FermionField DiDdb_Phi(fgrid); // Vector C in my notes
FermionField DidRinv_Phi(fgrid); // Vector D in my notes
FermionField DdbdDidRinv_Phi(fgrid);
FermionField P_Phi(fgrid);
FermionField RinvP_Phi(fgrid);
FermionField RinvDagRinvP_Phi(fgrid);
FermionField Rinv_Phi(fgrid);
FermionField RinvDagRinv_Phi(fgrid);
// P term
NumOp.dBoundaryBar(Phi,tmp);
NumOp.dOmegaBarInv(tmp,DobiDdbPhi); // Vector A
NumOp.dBoundary(DobiDdbPhi,tmp);
NumOp.dOmegaInv(tmp,DoiDdDobiDdbPhi); // Vector B
P_Phi = Phi - DoiDdDobiDdbPhi;
NumOp.ProjectBoundaryBar(P_Phi);
// R^-1 term
DenOp.dBoundaryBar(Phi,tmp);
DenOp.Dinverse(tmp,DiDdb_Phi); // Vector C
Rinv_Phi = Phi - DiDdb_Phi;
DenOp.ProjectBoundaryBar(Rinv_Phi);
// R^-dagger R^-1 term
DenOp.DinverseDag(Rinv_Phi,DidRinv_Phi); // Vector D
DenOp.dBoundaryBarDag(DidRinv_Phi,DdbdDidRinv_Phi);
RinvDagRinv_Phi = Rinv_Phi - DdbdDidRinv_Phi;
DenOp.ProjectBoundaryBar(RinvDagRinv_Phi);
// R^-1 P term
DenOp.dBoundaryBar(P_Phi,tmp);
DenOp.Dinverse(tmp,DiDdbP_Phi); // Vector C
RinvP_Phi = P_Phi - DiDdbP_Phi;
DenOp.ProjectBoundaryBar(RinvP_Phi);
// R^-dagger R^-1 P term
DenOp.DinverseDag(RinvP_Phi,DidRinvP_Phi); // Vector D
RinvDagRinvP_Phi = RinvP_Phi - DidRinvP_Phi;
DenOp.ProjectBoundaryBar(RinvDagRinvP_Phi);
// P^dag R^-dagger R^-1 P term
NumOp.dOmegaDagInv(RinvDagRinvP_Phi,DoidRinvDagRinvP_Phi); // Vector E
NumOp.dBoundaryDag(DoidRinvDagRinvP_Phi,tmp);
NumOp.dOmegaBarDagInv(tmp,DobidDddDoidRinvDagRinvP_Phi); // Vector F
dSdU=Zero();
// phi^dag V (Mdag M)^-1 dV^dag phi
X = DobiDdbPhi;
Y = DobidDddDoidRinvDagRinvP_Phi;
NumOp.DirichletFermOp.MDeriv(force,X,Y,DaggerYes); dSdU=dsdU+force;
NumOp.DirichletFermOp.MDeriv(force,Y,X,DaggerNo); dSdU=dSdU+force;
X = DoiDdDobiDdbPhi;
Y = DoidRinvDagRinvP_Phi;
NumOp.DirichletFermOp.MDeriv(force,X,Y,DaggerYes); dSdU=dsdU+force;
NumOp.DirichletFermOp.MDeriv(force,Y,X,DaggerNo); dSdU=dSdU+force;
X = DiDdbP_Phi;
Y = DidRinvP_Phi;
NumOp.DirichletFermOp.MDeriv(force,X,Y,DaggerYes); dSdU=dsdU+force;
NumOp.DirichletFermOp.MDeriv(force,Y,X,DaggerNo); dSdU=dSdU+force;
X = DiDdb_Phi;
Y = DidRinv_Phi;
DenOp.FermOp.MDeriv(force,Y,X,DaggerNo); dSdU=force;
DenOp.FermOp.MDeriv(force,X,Y,DaggerYes); dSdU=dSdU+force;
dSdU *= -1.0;
//dSdU = - Ta(dSdU);
};
};
NAMESPACE_END(Grid);
#endif