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Unified two index representations

This commit is contained in:
Julian Lenz
2023-05-18 18:36:29 +01:00
parent e855c41772
commit b8bdc2eefb
4 changed files with 14 additions and 113 deletions

View File

@ -20,14 +20,14 @@ NAMESPACE_BEGIN(Grid);
* in the SUnTwoIndex.h file
*/
template <int ncolour, TwoIndexSymmetry S>
template <int ncolour, TwoIndexSymmetry S, class group_name>
class TwoIndexRep {
public:
// typdef to be used by the Representations class in HMC to get the
// types for the higher representation fields
typedef typename SU_TwoIndex<ncolour, S>::LatticeTwoIndexMatrix LatticeMatrix;
typedef typename SU_TwoIndex<ncolour, S>::LatticeTwoIndexField LatticeField;
static const int Dimension = ncolour * (ncolour + S) / 2;
typedef typename GaugeGroupTwoIndex<ncolour, S, group_name>::LatticeTwoIndexMatrix LatticeMatrix;
typedef typename GaugeGroupTwoIndex<ncolour, S, group_name>::LatticeTwoIndexField LatticeField;
static const int Dimension = GaugeGroupTwoIndex<ncolour,S,group_name>::Dimension;
static const bool isFundamental = false;
LatticeField U;
@ -43,10 +43,10 @@ public:
U = Zero();
LatticeColourMatrix tmp(Uin.Grid());
Vector<typename SU<ncolour>::Matrix> eij(Dimension);
Vector<typename GaugeGroup<ncolour,group_name>::Matrix> eij(Dimension);
for (int a = 0; a < Dimension; a++)
SU_TwoIndex<ncolour, S>::base(a, eij[a]);
GaugeGroupTwoIndex<ncolour, S, group_name>::base(a, eij[a]);
for (int mu = 0; mu < Nd; mu++) {
auto Uin_mu = peekLorentz(Uin, mu);
@ -71,7 +71,7 @@ public:
out_mu = Zero();
typename SU<ncolour>::LatticeAlgebraVector h(in.Grid());
typename GaugeGroup<ncolour, group_name>::LatticeAlgebraVector h(in.Grid());
projectOnAlgebra(h, in_mu, double(Nc + 2 * S)); // factor T(r)/T(fund)
FundamentalLieAlgebraMatrix(h, out_mu); // apply scale only once
pokeLorentz(out, out_mu, mu);
@ -82,18 +82,21 @@ public:
private:
void projectOnAlgebra(typename SU<ncolour>::LatticeAlgebraVector &h_out,
const LatticeMatrix &in, Real scale = 1.0) const {
SU_TwoIndex<ncolour, S>::projectOnAlgebra(h_out, in, scale);
GaugeGroupTwoIndex<ncolour, S,group_name>::projectOnAlgebra(h_out, in, scale);
}
void FundamentalLieAlgebraMatrix(
typename SU<ncolour>::LatticeAlgebraVector &h,
typename SU<ncolour>::LatticeMatrix &out, Real scale = 1.0) const {
SU<ncolour>::FundamentalLieAlgebraMatrix(h, out, scale);
GaugeGroup<ncolour,group_name>::FundamentalLieAlgebraMatrix(h, out, scale);
}
};
typedef TwoIndexRep<Nc, Symmetric> TwoIndexSymmetricRepresentation;
typedef TwoIndexRep<Nc, AntiSymmetric> TwoIndexAntiSymmetricRepresentation;
typedef TwoIndexRep<Nc, Symmetric, GroupName::SU> TwoIndexSymmetricRepresentation;
typedef TwoIndexRep<Nc, AntiSymmetric, GroupName::SU> TwoIndexAntiSymmetricRepresentation;
typedef TwoIndexRep<Nc, Symmetric, GroupName::Sp> SpTwoIndexSymmetricRepresentation;
typedef TwoIndexRep<Nc, AntiSymmetric, GroupName::Sp> SpTwoIndexAntiSymmetricRepresentation;
NAMESPACE_END(Grid);