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HMC for Adjoint fermions works
Accepts and reproduces known results Check initial instability of inverters when starting from hot configurations
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@ -160,8 +160,9 @@ class SU {
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else
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generatorSigmaX(su2Index, ta);
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}
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template <class cplx>
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static void generatorSigmaX(int su2Index, iSUnMatrix<cplx> &ta) {
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static void generatorSigmaY(int su2Index, iSUnMatrix<cplx> &ta) {
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ta = zero;
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int i1, i2;
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su2SubGroupIndex(i1, i2, su2Index);
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@ -170,15 +171,16 @@ class SU {
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ta = ta * 0.5;
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}
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template <class cplx>
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static void generatorSigmaY(int su2Index, iSUnMatrix<cplx> &ta) {
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static void generatorSigmaX(int su2Index, iSUnMatrix<cplx> &ta) {
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ta = zero;
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cplx i(0.0, 1.0);
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int i1, i2;
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su2SubGroupIndex(i1, i2, su2Index);
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ta()()(i1, i2) = -i;
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ta()()(i2, i1) = i;
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ta()()(i1, i2) = i;
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ta()()(i2, i1) = -i;
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ta = ta * 0.5;
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}
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template <class cplx>
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static void generatorDiagonal(int diagIndex, iSUnMatrix<cplx> &ta) {
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// diag ({1, 1, ..., 1}(k-times), -k, 0, 0, ...)
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@ -651,9 +653,10 @@ class SU {
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for (int a = 0; a < AdjointDimension; a++) {
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gaussian(pRNG, ca);
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generator(a, ta);
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la = toComplex(ca) * ci * ta;
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la = toComplex(ca) * ta;
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out += la;
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}
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out *= ci;
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}
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static void FundamentalLieAlgebraMatrix(const LatticeAlgebraVector &h,
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@ -684,7 +687,6 @@ class SU {
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auto tmp = - 2.0 * (trace(timesI(Ta) * in)) * scale;// 2.0 for the normalization of the trace in the fundamental rep
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pokeColour(h_out, tmp, a);
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}
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std::cout << "h_out " << h_out << std::endl;
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}
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@ -75,7 +75,8 @@ class SU_Adjoint : public SU<ncolour> {
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typename SU<ncolour>::template iSUnMatrix<cplx> tmp1 =
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2.0 * tmp * ta[b]; // 2.0 from the normalization
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Complex iTr = TensorRemove(timesI(trace(tmp1)));
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iAdjTa()()(b, a) = iTr;
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//iAdjTa()()(b, a) = iTr;
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iAdjTa()()(a, b) = iTr;
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}
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}
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}
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@ -121,9 +122,10 @@ class SU_Adjoint : public SU<ncolour> {
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out = zero;
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for (int a = 0; a < Dimension; a++) {
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generator(a, iTa);
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la = peekColour(h, a) * iTa * scale;
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la = peekColour(h, a) * iTa;
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out += la;
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}
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out *= scale;
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}
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// Projects the algebra components a lattice matrix (of dimension ncol*ncol -1 )
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@ -131,16 +133,16 @@ class SU_Adjoint : public SU<ncolour> {
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conformable(h_out, in);
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h_out = zero;
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AMatrix iTa;
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Real coefficient = - 1.0/(ncolour) * scale;// 1/Nc for the normalization of the trace in the adj rep
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for (int a = 0; a < Dimension; a++) {
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generator(a, iTa);
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auto tmp = - 1.0/(ncolour) * (trace(iTa * in)) * scale;// 1/Nc for the normalization of the trace in the adj rep
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auto tmp = real(trace(iTa * in)) * coefficient;
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pokeColour(h_out, tmp, a);
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}
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//std::cout << "h_out " << h_out << std::endl;
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}
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// a projector that keeps the generators stored to avoid the overhead of recomputing.
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// a projector that keeps the generators stored to avoid the overhead of recomputing them
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static void projector(typename SU<ncolour>::LatticeAlgebraVector &h_out, const LatticeAdjMatrix &in, Real scale = 1.0) {
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conformable(h_out, in);
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static std::vector<AMatrix> iTa(Dimension); // to store the generators
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@ -151,8 +153,11 @@ class SU_Adjoint : public SU<ncolour> {
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for (int a = 0; a < Dimension; a++) generator(a, iTa[a]);
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}
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Real coefficient = -1.0 / (ncolour)*scale; // 1/Nc for the normalization of
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// the trace in the adj rep
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for (int a = 0; a < Dimension; a++) {
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auto tmp = - 1.0/(ncolour) * (trace(iTa[a] * in)) * scale;
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auto tmp = real(trace(iTa[a] * in)) * coefficient;
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pokeColour(h_out, tmp, a);
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}
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}
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