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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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@ -29,7 +29,7 @@ class AdjointRep {
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explicit AdjointRep(GridBase *grid) : U(grid) {}
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void update_representation(const LatticeGaugeField &Uin) {
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std::cout << GridLogDebug << "Updating adjoint representation\n" ;
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std::cout << GridLogDebug << "Updating adjoint representation\n";
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// Uin is in the fundamental representation
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// get the U in AdjointRep
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// (U_adj)_B = tr[e^a U e^b U^dag]
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@ -43,8 +43,8 @@ class AdjointRep {
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Vector<typename SU<ncolour>::Matrix> ta(Dimension);
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// Debug lines
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//LatticeMatrix uno(Uin._grid);
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//uno = 1.0;
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// LatticeMatrix uno(Uin._grid);
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// uno = 1.0;
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////////////////
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// FIXME probably not very efficient to get all the generators
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@ -53,11 +53,11 @@ class AdjointRep {
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for (int mu = 0; mu < Nd; mu++) {
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auto Uin_mu = peekLorentz(Uin, mu);
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auto U_mu = peekLorentz(U, mu);
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auto U_mu = peekLorentz(U, mu);
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for (int a = 0; a < Dimension; a++) {
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tmp = 2.0 * adj(Uin_mu) * ta[a] * Uin_mu;
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for (int b = 0; b < Dimension; b++)
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pokeColour(U_mu, trace(tmp * ta[b]), b, a);
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pokeColour(U_mu, trace(tmp * ta[b]), a, b);
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}
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pokeLorentz(U, U_mu, mu);
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// Check matrix U_mu, must be real orthogonal
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@ -71,7 +71,6 @@ class AdjointRep {
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std::cout << GridLogMessage << "orthogonality check: " << norm2(Ucheck) <<
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std::endl;
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*/
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}
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}
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@ -87,11 +86,11 @@ class AdjointRep {
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out_mu = zero;
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typename SU<ncolour>::LatticeAlgebraVector h(in._grid);
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projectOnAlgebra(h, in_mu, scale);
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FundamentalLieAlgebraMatrix(h, out_mu, 1.0); // apply scale only once
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projectOnAlgebra(h, in_mu, double(Nc) * 2.0); // factor C(r)/C(fund)
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FundamentalLieAlgebraMatrix(h, out_mu); // apply scale only once
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pokeLorentz(out, out_mu, mu);
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// Returns traceless antihermitian matrix Nc * Nc.
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// Confirmed
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// Returns traceless antihermitian matrix Nc * Nc.
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// Confirmed
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}
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return out;
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}
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