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