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adjustments in SUn and Sp2n impl

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This commit is contained in:
Alessandro Lupo
2023-06-23 15:34:08 +01:00
parent 2822487450
commit f27d2083cd
3 changed files with 74 additions and 208 deletions
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3
Grid/qcd/utils/SUn.impl
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@ -10,6 +10,7 @@
// doesn't get found by the scripts/filelist during bootstrapping.
private:
template <ONLY_IF_SU>
static int su2subgroups(GroupName::SU) { return (ncolour * (ncolour - 1)) / 2; }
////////////////////////////////////////////////////////////////////////
// There are N^2-1 generators for SU(N).
@ -59,7 +60,7 @@ static int su2subgroups(GroupName::SU) { return (ncolour * (ncolour - 1)) / 2; }
// ( -2)
//
////////////////////////////////////////////////////////////////////////
template <class cplx>
template <class cplx, ONLY_IF_SU>
static void generator(int lieIndex, iGroupMatrix<cplx> &ta, GroupName::SU) {
// map lie index to which type of generator
int diagIndex;

77
Grid/qcd/utils/Sp2n.impl
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@ -10,6 +10,7 @@
// doesn't get found by the scripts/filelist during bootstrapping.
private:
template <ONLY_IF_Sp>
static int su2subgroups(GroupName::Sp) { return (ncolour/2 * (ncolour/2 - 1)) / 2; }
// Sp(2N) has N(2N+1) = 2N^2+N generators
@ -280,82 +281,6 @@ static void taProj(const LatticeMatrixType &in, LatticeMatrixType &out, GroupNam
}
public:
template <ONLY_IF_Sp>
static void OmegaInvariance(ColourMatrix &in) {
ColourMatrix Omega;
Omega = Zero();
const int nsp=ncolour/2;
for (int i = 0; i < nsp; i++) {
Omega()()(i, nsp + i) = 1.;
Omega()()(nsp + i, i) = -1;
}
auto diff = Omega - (in * Omega * transpose(in));
auto sdiff = norm2(diff);
if (norm2(sdiff) < 1e-8) {
std::cout << GridLogMessage
<< "Symplectic condition satisfied: Omega invariant" << std::endl;
} else {
std::cout << GridLogMessage
<< "WARNING!!!!!! Matrix Omega NOT left invariant by "
<< norm2(sdiff) << std::endl;
}
}
template <typename GaugeField, ONLY_IF_Sp>
static void OmegaInvariance(GaugeField &in) {
typedef typename GaugeField::vector_type vector_type;
typedef iGroupMatrix<vector_type> vMatrixType;
typedef Lattice<vMatrixType> LatticeMatrixType;
LatticeMatrixType U(in.Grid());
LatticeMatrixType OmegaLatt(in.Grid());
LatticeMatrixType identity(in.Grid());
RealD vol = in.Grid()->gSites();
ColourMatrix Omega;
OmegaLatt = Zero();
Omega = Zero();
identity = 1.;
U = PeekIndex<LorentzIndex>(in, 1);
OmegaInvariance(U);
}
template <ONLY_IF_Sp>
static void OmegaInvariance(LatticeColourMatrixD &in) {
const int nsp=ncolour/2;
LatticeColourMatrixD OmegaLatt(in.Grid());
LatticeColourMatrixD identity(in.Grid());
RealD vol = in.Grid()->gSites();
ColourMatrix Omega;
OmegaLatt = Zero();
Omega = Zero();
identity = 1.;
for (int i = 0; i < nsp; i++) {
Omega()()(i, nsp + i) = 1.;
Omega()()(nsp + i, i) = -1;
}
std::cout << GridLogMessage << "Omega = " << Omega()() << std::endl;
OmegaLatt = OmegaLatt + (identity * Omega);
auto diff = OmegaLatt - (in * OmegaLatt * transpose(in));
auto sdiff = sum(diff);
// assert( norm2(sdiff) < 1e-8 );
if (norm2(sdiff) < 1e-8) {
std::cout << GridLogMessage
<< "Symplectic condition satisfied: Omega invariant" << std::endl;
} else {
std::cout << GridLogMessage
<< "WARNING!!!!!! Matrix Omega NOT left invariant by "
<< norm2(sdiff) << std::endl;
}
}
template <ONLY_IF_Sp>
static void Omega(LatticeColourMatrixD &in) {