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Correct implementation of SpTa

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This commit is contained in:
Alessandro Lupo
2023-04-27 18:17:06 +01:00
parent 5aabe074fe
commit 881b08a465
2 changed files with 30 additions and 120 deletions
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84
tests/sp2n/Test_project_on_Sp.cc
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@ -117,6 +117,8 @@ int main (int argc, char **argv)
}
}
SU<Nc>::HotConfiguration(pRNG,Umu); //refresh
U = PeekIndex<LorentzIndex>(Umu,1);
std::cout << GridLogMessage << "Testing ProjectOnGaugeGroup" << std::endl;
U = U + Delta*identity;
@ -214,7 +216,9 @@ int main (int argc, char **argv)
std::cout <<GridLogMessage << std::endl;
std::cout << GridLogMessage << "Testing SpTa" << std::endl;
U = PeekIndex<LorentzIndex>(Umu,1);
SU<Nc>::HotConfiguration(pRNG,Umu);//refresh
U = PeekIndex<LorentzIndex>(Umu,2);
U = U + Delta*identity;
std::cout << GridLogMessage << "Matrix deformed " << std::endl;
std::cout << GridLogMessage << "Apply SpTa to deformed matrix" << std::endl;
@ -224,19 +228,19 @@ int main (int argc, char **argv)
std::cout << GridLogMessage << "SpTa ::: T - Tda = " << norm2(aux) << std::endl;
aux = U + adj(U);
std::cout << GridLogMessage << "SpTa ::: T + Tda = " << norm2(aux) << std::endl;
assert( norm2(aux) - 1 < 1e-8);
std::cout << GridLogMessage << "Check that Omega U Omega = conj(U)" << std::endl;
std::cout << GridLogMessage << "Check that Omega T Omega + conj(T) = 0 " << std::endl;
LatticeColourMatrixD Omega(&Grid);
Sp<Nc>::Omega(Omega);
aux = Omega*U*Omega - conjugate(U);
std::cout << GridLogMessage << "Omega U Omega - conj(U) = " << norm2(aux) << std::endl;
aux = Omega*U*Omega + conjugate(U);
assert( norm2(aux) < 1e-8);
std::cout << GridLogMessage << "Checking the structure is " << std::endl;
std::cout << GridLogMessage << "U = ( W X ) " << std::endl;
std::cout << GridLogMessage << " ( X^* -W^* ) " << std::endl;
std::cout << GridLogMessage << " ( -X^* W^* ) " << std::endl;
std::cout <<GridLogMessage << std::endl;
for (int c1 = 0; c1 < nsp; c1++) //check on W
{
@ -245,7 +249,7 @@ int main (int argc, char **argv)
auto W = PeekIndex<ColourIndex>(U,c1,c2);
auto Wstar = PeekIndex<ColourIndex>(U,c1+nsp,c2+nsp);
auto Ww = conjugate( Wstar );
auto amizero = sum(W + Ww);
auto amizero = sum(W - Ww);
auto amizeroo = TensorRemove(amizero);
assert( amizeroo.real() < 10e-6 );
amizeroo *= i;
@ -261,73 +265,7 @@ int main (int argc, char **argv)
auto X = PeekIndex<ColourIndex>(U,c1,c2+nsp);
auto minusXstar = PeekIndex<ColourIndex>(U,c1+nsp,c2);
auto minusXx = conjugate(minusXstar);
auto amizero = sum (X - minusXx);
auto amizeroo = TensorRemove(amizero);
assert( amizeroo.real() < 10e-6 );
amizeroo *= i;
assert( amizeroo.real() < 10e-6 );
}
}
//test Ta
/*
U = U + 666.*identity;
Up = Ta(U);
aux = Up - adj(Up);
std::cout << GridLogMessage << "TA !!! T - Tda = " << norm2(aux) << std::endl;
aux = Up + adj(Up);
std::cout << GridLogMessage << "TA !!! T + Tda = " << norm2(aux) << std::endl;*/
// test taProj
std::cout << GridLogMessage << "Testing taProj" << std::endl;
U = U + Delta*identity;
std::cout << GridLogMessage << "Matrix deformed " << std::endl;
std::cout << GridLogMessage << "Apply taProj to deformed matrix" << std::endl;
Sp<Nc>::taProj(U, Up);
aux = Up - adj(Up);
std::cout << GridLogMessage << "taProj ::: T - Tda = " << norm2(aux) << std::endl;
aux = Up + adj(Up);
std::cout << GridLogMessage << "taProj ::: T + Tda = " << norm2(aux) << std::endl;
std::cout << GridLogMessage << "Check that Omega U Omega = conj(U)" << std::endl;
Sp<Nc>::Omega(Omega);
aux = Omega*Up*Omega - conjugate(Up);
std::cout << GridLogMessage << "Omega U Omega - conj(U) = " << norm2(aux) << std::endl;
assert( norm2(aux) < 1e-8);
// before it was
aux = Omega*U*Omega - conjugate(U);
std::cout << GridLogMessage << " before taProj Omega U Omega - conj(U) = " << norm2(aux) << std::endl;
U = Up;
std::cout << GridLogMessage << "Checking the structure is " << std::endl;
std::cout << GridLogMessage << "U = ( W X ) " << std::endl;
std::cout << GridLogMessage << " ( X^* -W^* ) " << std::endl;
std::cout <<GridLogMessage << std::endl;
for (int c1 = 0; c1 < nsp; c1++) //check on W
{
for (int c2 = 0; c2 < nsp; c2++)
{
auto W = PeekIndex<ColourIndex>(U,c1,c2);
auto Wstar = PeekIndex<ColourIndex>(U,c1+nsp,c2+nsp);
auto Ww = conjugate( Wstar );
auto amizero = sum(W + Ww);
auto amizeroo = TensorRemove(amizero);
assert( amizeroo.real() < 10e-6 );
amizeroo *= i;
assert( amizeroo.real() < 10e-6 );
}
}
for (int c1 = 0; c1 < nsp ; c1++)
{
for (int c2 = 0; c2 < nsp; c2++)
{
auto X = PeekIndex<ColourIndex>(U,c1,c2+nsp);
auto minusXstar = PeekIndex<ColourIndex>(U,c1+nsp,c2);
auto minusXx = conjugate(minusXstar);
auto amizero = sum (X - minusXx);
auto amizero = sum (X + minusXx);
auto amizeroo = TensorRemove(amizero);
assert( amizeroo.real() < 10e-6 );
amizeroo *= i;