mirror of
https://github.com/paboyle/Grid.git
synced 2026-10-14 19:53:18 +01:00
Complete the derivative
This commit is contained in:
1 parent
d31061cd49
commit
402fa0aace
1 file changed
+66
-8
@@ -109,10 +109,69 @@ public:
|
||||
////////////////////////
|
||||
// Derivative interface
|
||||
////////////////////////
|
||||
// Interface calls an internal routine
|
||||
void DhopDeriv(GaugeField &mat,const FermionField &U,const FermionField &V,int dag) { GRID_ASSERT(0);};
|
||||
void DhopDerivOE(GaugeField &mat,const FermionField &U,const FermionField &V,int dag){ GRID_ASSERT(0);};
|
||||
void DhopDerivEO(GaugeField &mat,const FermionField &U,const FermionField &V,int dag){ GRID_ASSERT(0);};
|
||||
// Force on every link of every s-slice, in the form WilsonFermion5D uses:
|
||||
// F5[mu](x,s) = tr_spin[ Btilde(x,s) A(x,s)^dag ]
|
||||
// Btilde(x,s) = -1/2 U_mu(x,s) (1 -+ gamma_mu) B(x+mu,s), lower sign for dag
|
||||
// Dhop5 carries no gauge links and contributes nothing.
|
||||
void DhopDeriv5D(std::vector<GaugeLinkField> &F5,const FermionField &A,const FermionField &B,int dag)
|
||||
{
|
||||
RealD sgn= 1.0;
|
||||
if (dag ) sgn=-1.0;
|
||||
|
||||
Gamma::Algebra Gmu [] = {
|
||||
Gamma::Algebra::GammaX,
|
||||
Gamma::Algebra::GammaY,
|
||||
Gamma::Algebra::GammaZ,
|
||||
Gamma::Algebra::GammaT
|
||||
};
|
||||
|
||||
FermionField tmp(B.Grid());
|
||||
FermionField Btilde(B.Grid());
|
||||
for(int mu=0;mu<Nd;mu++){
|
||||
tmp = Umu[mu] * Cshift(B,mu+1,1);
|
||||
Btilde = tmp - Gamma(Gmu[mu])*tmp*sgn;
|
||||
Btilde = -0.5*Btilde;
|
||||
F5[mu] = TraceIndex<SpinIndex>(outerProduct(Btilde,A));
|
||||
}
|
||||
}
|
||||
|
||||
// Every slice holds the same 4D gauge field, so the 4D force is the sum over slices
|
||||
void DhopDeriv(GaugeField &mat,const FermionField &A,const FermionField &B,int dag)
|
||||
{
|
||||
std::vector<GaugeLinkField> F5(Nd,_grid);
|
||||
DhopDeriv5D(F5,A,B,dag);
|
||||
|
||||
GaugeLinkField slice(_grid4);
|
||||
GaugeLinkField sum(_grid4);
|
||||
for(int mu=0;mu<Nd;mu++){
|
||||
sum = Zero();
|
||||
for(int s=0;s<Ls;s++){
|
||||
ExtractSlice(slice,F5[mu],s,0);
|
||||
sum = sum + slice;
|
||||
}
|
||||
PokeIndex<LorentzIndex>(mat,sum,mu);
|
||||
}
|
||||
}
|
||||
|
||||
// The checkerboard here is 5D, so a field on one checkerboard touches links at both 4D
|
||||
// parities: the even-odd forces are returned on the full 4D gauge grid.
|
||||
int CheckerboardedForce(void) { return 0; };
|
||||
|
||||
// A and B on opposite 5D checkerboards, placed in zeroed full fields: the full-lattice
|
||||
// derivative then picks up exactly the links Meooe uses between them.
|
||||
void DhopDerivCB(GaugeField &mat,const FermionField &A,const FermionField &B,int dag)
|
||||
{
|
||||
GRID_ASSERT(A.Checkerboard() != B.Checkerboard());
|
||||
FermionField Afull(_grid);
|
||||
FermionField Bfull(_grid);
|
||||
Afull = Zero();
|
||||
Bfull = Zero();
|
||||
setCheckerboard(Afull,A);
|
||||
setCheckerboard(Bfull,B);
|
||||
DhopDeriv(mat,Afull,Bfull,dag);
|
||||
}
|
||||
void DhopDerivOE(GaugeField &mat,const FermionField &U,const FermionField &V,int dag){ DhopDerivCB(mat,U,V,dag);};
|
||||
void DhopDerivEO(GaugeField &mat,const FermionField &U,const FermionField &V,int dag){ DhopDerivCB(mat,U,V,dag);};
|
||||
|
||||
///////////////////////////////////////////////////////////////
|
||||
// non-hermitian hopping term; half cb or both
|
||||
@@ -200,6 +259,7 @@ public:
|
||||
_grid(&Fgrid),
|
||||
_cbgrid(&Hgrid),
|
||||
_grid4(_Umu.Grid()),
|
||||
_cbgrid4(nullptr), // the checkerboard is 5D; there is no 4D red-black grid
|
||||
Umu(Nd,&Fgrid),
|
||||
UmuEven(Nd,&Hgrid),
|
||||
UmuOdd(Nd,&Hgrid),
|
||||
@@ -221,10 +281,6 @@ public:
|
||||
MassField =scalar(-mass);
|
||||
one =scalar(1.0);
|
||||
MassField =where(coor==Integer(Ls-1),MassField,one);
|
||||
for(int mu=0;mu<Nd;mu++){
|
||||
pickCheckerboard(Even,UmuEven[mu],Umu[mu]);
|
||||
pickCheckerboard(Odd ,UmuOdd[mu],Umu[mu]);
|
||||
}
|
||||
pickCheckerboard(Even,MassFieldEven,MassField);
|
||||
pickCheckerboard(Odd ,MassFieldOdd,MassField);
|
||||
|
||||
@@ -239,6 +295,8 @@ public:
|
||||
for(int s=0;s<this->Ls;s++){
|
||||
InsertSlice(U4,Umu[mu],s,0);
|
||||
}
|
||||
pickCheckerboard(Even,UmuEven[mu],Umu[mu]);
|
||||
pickCheckerboard(Odd ,UmuOdd[mu],Umu[mu]);
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
Reference in new issue
Block a user