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Wrote the projector in the adjoint representation algebra

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This commit is contained in:
Guido Cossu 2016-07-08 16:14:16 +01:00
parent 5028969d4b
commit daea5297ee
1 changed files with 32 additions and 2 deletions
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34
lib/qcd/utils/SUn.h
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@ -47,6 +47,10 @@ class SU {
using iSU2Matrix = iScalar<iScalar<iMatrix<vtype, 2> > >;
template <typename vtype>
using iSUnAdjointMatrix = iScalar<iScalar<iMatrix<vtype, (ncolour*ncolour - 1)> > >;
template <typename vtype>
using iSUnAlgebraVector = iScalar<iScalar<iVector<vtype , (ncolour*ncolour -1)> > >;
//////////////////////////////////////////////////////////////////////////////////////////////////
// Types can be accessed as SU<2>::Matrix , SU<2>::vSUnMatrix,
@ -70,10 +74,25 @@ class SU {
typedef iSUnAdjointMatrix<vComplexF> vAMatrixF;
typedef iSUnAdjointMatrix<vComplexD> vAMatrixD;
// For the projectors to the algebra
// these should be real...
// keeping complex for consistency with the SIMD vector types
typedef iSUnAlgebraVector<Complex> AlgebraVector;
typedef iSUnAlgebraVector<ComplexF> AlgebraVectorF;
typedef iSUnAlgebraVector<ComplexD> AlgebraVectorD;
typedef iSUnAlgebraVector<vComplex> vAlgebraVector;
typedef iSUnAlgebraVector<vComplexF> vAlgebraVectorF;
typedef iSUnAlgebraVector<vComplexD> vAlgebraVectorD;
typedef Lattice<vMatrix> LatticeMatrix;
typedef Lattice<vMatrixF> LatticeMatrixF;
typedef Lattice<vMatrixD> LatticeMatrixD;
typedef Lattice<vAlgebraVector> LatticeAlgebraVector;
typedef Lattice<vAlgebraVectorF> LatticeAlgebraVectorF;
typedef Lattice<vAlgebraVectorD> LatticeAlgebraVectorD;
typedef iSU2Matrix<Complex> SU2Matrix;
typedef iSU2Matrix<ComplexF> SU2MatrixF;
typedef iSU2Matrix<ComplexD> SU2MatrixD;
@ -713,7 +732,7 @@ class SU {
}
}
static void FundamentalLieAlgebraMatrix(Vector<Real> &h, LatticeMatrix &out,
static void FundamentalLieAlgebraMatrix(LatticeAlgebraVector &h, LatticeMatrix &out,
Real scale = 1.0) {
GridBase *grid = out._grid;
LatticeMatrix la(grid);
@ -722,11 +741,22 @@ class SU {
out = zero;
for (int a = 0; a < generators(); a++) {
generator(a, ta);
la = Complex(0.0, h[a]) * scale * ta;
la = peekColour(h,a) * scale * ta;
out += la;
}
}
static void projectAdjointAlgebra(LatticeAlgebraVector &h_out, LatticeMatrix &in){
GridBase *grid = in._grid;
AMatrix iTa;
for (int a = 0; a< generators(); a++){
generatorAdjoint(a, iTa);
AlgebraVector tmp = real(trace(iTa * in));//*factor
pokeColour(h_out, tmp, a);
}
}
template <typename GaugeField>
static void HotConfiguration(GridParallelRNG &pRNG, GaugeField &out) {
typedef typename GaugeField::vector_type vector_type;