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Option for Qlat generator basis

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This commit is contained in:
Peter Boyle 2023-05-11 12:27:45 -04:00
parent 9953511b65
commit 91efd08179
1 changed files with 28 additions and 3 deletions
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27
tests/core/Test_lie_generators.cc
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@ -63,7 +63,9 @@ int main(int argc, char** argv) {
std::cout << "Dimension of adjoint representation: "<< SU2Adjoint::Dimension << std::endl;
// guard as this code fails to compile for Nc != 3
#if (Nc == 3)
#if 1
std::cout << " Printing Adjoint Generators"<< std::endl;
SU2Adjoint::printGenerators();
SU2::testGenerators();
@ -149,9 +151,32 @@ int main(int argc, char** argv) {
pokeLorentz(UrVr,Urmu*Vrmu, mu);
}
typedef typename SU_Adjoint<Nc>::AMatrix AdjointMatrix;
typename AdjointRep<Nc>::LatticeField Diff_check = UVr - UrVr;
std::cout << GridLogMessage << "Group structure SU("<<Nc<<") check difference (Adjoint representation) : " << norm2(Diff_check) << std::endl;
std::cout << GridLogMessage << "****************************************** " << std::endl;
std::cout << GridLogMessage << " MAP BETWEEN FUNDAMENTAL AND ADJOINT CHECK " << std::endl;
std::cout << GridLogMessage << "****************************************** " << std::endl;
for(int a=0;a<Nc*Nc-1;a++){
for(int b=0;b<Nc*Nc-1;b++){
for(int c=0;c<Nc*Nc-1;c++){
ColourMatrix Ta;
ColourMatrix Tb;
ColourMatrix Tc;
SU3::generator(a, Ta);
SU3::generator(b, Tb);
SU3::generator(c, Tc);
AdjointMatrix TRa;
SU3Adjoint::generator(a,TRa);
Complex tr1 = trace ( Tc * ( Ta*Tb-Tb*Ta)); // i/2 fabc
Complex tr2 = TRa()()(b,c) * Complex(0,1);
std::cout << " 2 Tr( Tc[Ta,Tb]) " << 2.0*tr1<<std::endl;
std::cout << " - TRa_bc " << tr2<<std::endl;
assert(abs( (2.0*tr1-tr2) ) < 1.0e-7);
std::cout << "------------------"<<std::endl;
}}}
// Check correspondence of algebra and group transformations
// Create a random vector
SU3::LatticeAlgebraVector h_adj(grid);