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Added unit tests on the representation transformations

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Status: Passing all tests
This commit is contained in:
Guido Cossu
2016-08-08 16:54:22 +01:00
parent 49b5c49851
commit 147e2025b9
9 changed files with 143 additions and 14 deletions
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14
lib/qcd/utils/SUn.h
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@ -672,6 +672,20 @@ class SU {
}
}
// Projects the algebra components a lattice matrix (of dimension ncol*ncol -1 )
// inverse operation: FundamentalLieAlgebraMatrix
static void projectOnAlgebra(LatticeAlgebraVector &h_out, const LatticeMatrix &in, Real scale = 1.0) {
conformable(h_out, in);
h_out = zero;
Matrix Ta;
for (int a = 0; a < AdjointDimension; a++) {
generator(a, Ta);
auto tmp = - 2.0 * (trace(timesI(Ta) * in)) * scale;// 2.0 for the normalization of the trace in the fundamental rep
pokeColour(h_out, tmp, a);
}
std::cout << "h_out " << h_out << std::endl;
}
template <typename GaugeField>

23
lib/qcd/utils/SUnAdjoint.h
View File

@ -110,6 +110,22 @@ class SU_Adjoint : public SU<ncolour> {
std::cout << GridLogMessage << std::endl;
}
static void AdjointLieAlgebraMatrix(
const typename SU<ncolour>::LatticeAlgebraVector &h,
LatticeAdjMatrix &out, Real scale = 1.0) {
conformable(h, out);
GridBase *grid = out._grid;
LatticeAdjMatrix la(grid);
AMatrix iTa;
out = zero;
for (int a = 0; a < Dimension; a++) {
generator(a, iTa);
la = peekColour(h, a) * iTa * scale;
out += la;
}
}
// Projects the algebra components a lattice matrix (of dimension ncol*ncol -1 )
static void projectOnAlgebra(typename SU<ncolour>::LatticeAlgebraVector &h_out, const LatticeAdjMatrix &in, Real scale = 1.0) {
conformable(h_out, in);
@ -118,9 +134,10 @@ class SU_Adjoint : public SU<ncolour> {
for (int a = 0; a < Dimension; a++) {
generator(a, iTa);
auto tmp = - 2.0 * real(trace(iTa * in)) * scale;
auto tmp = - 1.0/(ncolour) * (trace(iTa * in)) * scale;// 1/Nc for the normalization of the trace in the adj rep
pokeColour(h_out, tmp, a);
}
//std::cout << "h_out " << h_out << std::endl;
}
// a projector that keeps the generators stored to avoid the overhead of recomputing.
@ -130,12 +147,12 @@ class SU_Adjoint : public SU<ncolour> {
h_out = zero;
static bool precalculated = false;
if (!precalculated){
precalculated = true;
precalculated = true;
for (int a = 0; a < Dimension; a++) generator(a, iTa[a]);
}
for (int a = 0; a < Dimension; a++) {
auto tmp = - 2.0*real(trace(iTa[a] * in)) * scale;
auto tmp = - 1.0/(ncolour) * (trace(iTa[a] * in)) * scale;
pokeColour(h_out, tmp, a);
}
}