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https://github.com/paboyle/Grid.git
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Revert "Revert "Fixing issue #11: consistent use of ncolour and nsp""
This reverts commit 3af4929dda
.
This commit is contained in:
parent
3af4929dda
commit
2de03e5172
@ -126,8 +126,8 @@ public:
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{
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if (isSp2n == true)
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{
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const int nSp = Nrepresentation/2;
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Sp<nSp>::GaussianFundamentalLieAlgebraMatrix(pRNG, Pmu);
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//const int nSp = Nrepresentation/2;
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Sp<Nrepresentation>::GaussianFundamentalLieAlgebraMatrix(pRNG, Pmu);
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} else
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{
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@ -148,18 +148,18 @@ public:
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if (isSp2n == true)
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{
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P = Ta(P);
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const int nsp = Nc / 2;
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//const int nsp = Nc / 2;
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Sp<nsp>::iSp2nMatrix<Complex> gen;
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Sp<Nc>::iSp2nMatrix<Complex> gen;
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auto Psum = P;
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Psum = Zero();
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for (int a = 0; a < Sp<nsp>::AlgebraDimension; a++)
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for (int a = 0; a < Sp<Nrepresentation>::AlgebraDimension; a++)
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{
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Sp<nsp>::generator(a, gen);
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Sp<Nrepresentation>::generator(a, gen);
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auto coeff = 2. * trace(P * gen);
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Psum += coeff * gen;
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@ -223,8 +223,8 @@ public:
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{
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if (isSp2n == true)
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{
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const int nSp = Nrepresentation/2;
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Sp<nSp>::HotConfiguration(pRNG, U);
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//const int nSp = Nrepresentation/2;
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Sp<Nrepresentation>::HotConfiguration(pRNG, U);
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} else
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{
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Group::HotConfiguration(pRNG, U);
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@ -235,8 +235,8 @@ public:
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{
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if (isSp2n == true)
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{
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const int nSp = Nrepresentation/2;
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Sp<nSp>::TepidConfiguration(pRNG, U);
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//const int nSp = Nrepresentation/2;
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Sp<Nrepresentation>::TepidConfiguration(pRNG, U);
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} else
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{
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Group::TepidConfiguration(pRNG, U);
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@ -248,8 +248,8 @@ public:
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{
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if (isSp2n == true)
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{
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const int nSp = Nrepresentation/2;
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Sp<nSp>::ColdConfiguration(pRNG, U);
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//const int nSp = Nrepresentation/2;
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Sp<Nrepresentation>::ColdConfiguration(pRNG, U);
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} else
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{
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Group::ColdConfiguration(pRNG, U);
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@ -5,21 +5,16 @@
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NAMESPACE_BEGIN(Grid);
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// Sp(2N)
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// ncolour = N
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// ncolour = 2N
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// need to be careful with n and 2n
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// I am defining the Sp class for Sp(2n) to be such that the template variable ncolour
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// is n inside 2n and the typedef at the end of the file should eliminate possible confusion.
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// the other routines, like projectOnSp2n, N will be the dimension of the actual number of colors for consistency with the sun routines
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template <int ncolour>
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class Sp {
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public:
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static const int Dimension = ncolour*2;
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static const int AlgebraDimension = ncolour*(2*ncolour +1);
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static int su2subgroups(void) { return (ncolour * (ncolour - 1)) / 2; }
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static const int nnsp = ncolour;
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static const int nsp = ncolour/2;
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static const int Dimension = ncolour;
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static const int AlgebraDimension = nsp*(2*nsp +1);
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static int su2subgroups(void) { return (nsp * (nsp - 1)) / 2; }
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template <typename vtype>
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@ -65,9 +60,6 @@ public:
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// there are 6 types named a,b,c,d and w,z
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// abcd are N(N-1)/2 each while wz are N each
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template <class cplx>
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static void generator(int lieIndex, iSp2nMatrix<cplx> &ta) {
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// map lie index into type of generators: diagonal, abcd type, wz type
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@ -75,10 +67,10 @@ public:
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int diagIndex;
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int aIndex, bIndex, cIndex, dIndex;
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int wIndex, zIndex; // a,b,c,d are N(N-1)/2 and w,z are N
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int mod = ncolour * (ncolour-1) * 0.5;
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int offdiag = 2*ncolour*ncolour; // number of generators not in the cartan subalgebra
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int mod = nsp * (nsp-1) * 0.5;
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int offdiag = 2*nsp*nsp; // number of generators not in the cartan subalgebra
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int wmod = 4*mod;
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int zmod = wmod+ncolour;
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int zmod = wmod+nsp;
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if (lieIndex >= offdiag) {
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diagIndex = lieIndex - offdiag; // 0, ... ,N-1
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//std::cout << GridLogMessage << "diag type " << std::endl;
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@ -136,7 +128,7 @@ public:
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RealD nrm = 1.0 / 2;
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ta()()(diagIndex,diagIndex) = nrm;
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ta()()(diagIndex+ncolour,diagIndex+ncolour) = -nrm;
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ta()()(diagIndex+nsp,diagIndex+nsp) = -nrm;
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}
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template <class cplx>
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@ -152,8 +144,8 @@ public:
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su2SubGroupIndex(i1, i2, aIndex);
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ta()()(i1,i2) = 1;
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ta()()(i2,i1) = 1;
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ta()()(i1+ncolour,i2+ncolour) = -1;
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ta()()(i2+ncolour,i1+ncolour) = -1;
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ta()()(i1+nsp,i2+nsp) = -1;
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ta()()(i2+nsp,i1+nsp) = -1;
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ta = ta * nrm;
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}
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@ -174,8 +166,8 @@ public:
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ta()()(i1,i2) = i;
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ta()()(i2,i1) = -i;
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ta()()(i1+ncolour,i2+ncolour) = i;
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ta()()(i2+ncolour,i1+ncolour) = -i;
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ta()()(i1+nsp,i2+nsp) = i;
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ta()()(i2+nsp,i1+nsp) = -i;
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ta = ta * nrm;
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}
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@ -191,10 +183,10 @@ public:
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RealD nrm = 1 / (2 * std::sqrt(2) );
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su2SubGroupIndex(i1, i2, cIndex);
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ta()()(i1,i2+ncolour) = 1;
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ta()()(i2,i1+ncolour) = 1;
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ta()()(i1+ncolour,i2) = 1;
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ta()()(i2+ncolour,i1) = 1;
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ta()()(i1,i2+nsp) = 1;
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ta()()(i2,i1+nsp) = 1;
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ta()()(i1+nsp,i2) = 1;
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ta()()(i2+nsp,i1) = 1;
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ta = ta * nrm;
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}
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@ -210,10 +202,10 @@ public:
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RealD nrm = 1 / (2 * std::sqrt(2) );
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su2SubGroupIndex(i1, i2, dIndex);
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ta()()(i1,i2+ncolour) = i;
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ta()()(i2,i1+ncolour) = i;
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ta()()(i1+ncolour,i2) = -i;
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ta()()(i2+ncolour,i1) = -i;
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ta()()(i1,i2+nsp) = i;
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ta()()(i2,i1+nsp) = i;
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ta()()(i1+nsp,i2) = -i;
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ta()()(i2+nsp,i1) = -i;
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ta = ta * nrm;
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}
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@ -226,8 +218,8 @@ public:
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ta = Zero();
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RealD nrm = 1.0 / 2; //check
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ta()()(wIndex,wIndex+ncolour) = 1;
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ta()()(wIndex+ncolour,wIndex) = 1;
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ta()()(wIndex,wIndex+nsp) = 1;
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ta()()(wIndex+nsp,wIndex) = 1;
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ta = ta * nrm;
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}
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@ -240,8 +232,8 @@ public:
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ta = Zero();
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RealD nrm = 1.0 / 2; //check
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cplx i(0.0, 1.0);
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ta()()(zIndex,zIndex+ncolour) = i;
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ta()()(zIndex+ncolour,zIndex) = -i;
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ta()()(zIndex,zIndex+nsp) = i;
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ta()()(zIndex+nsp,zIndex) = -i;
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ta = ta * nrm;
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}
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@ -251,11 +243,11 @@ public:
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// Map a su2 subgroup number to the pair of rows that are non zero
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////////////////////////////////////////////////////////////////////////
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static void su2SubGroupIndex(int &i1, int &i2, int su2_index) {
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assert((su2_index >= 0) && (su2_index < (ncolour * (ncolour - 1)) / 2));
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assert((su2_index >= 0) && (su2_index < (nsp * (nsp - 1)) / 2));
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int spare = su2_index;
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for (i1 = 0; spare >= (ncolour - 1 - i1); i1++) {
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spare = spare - (ncolour - 1 - i1); // remove the Nc-1-i1 terms
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for (i1 = 0; spare >= (nsp - 1 - i1); i1++) {
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spare = spare - (nsp - 1 - i1); // remove the Nc-1-i1 terms
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}
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i2 = i1 + 1 + spare;
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}
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@ -268,7 +260,7 @@ public:
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for (int gen = 0; gen < AlgebraDimension; gen++) {
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Matrix ta;
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generator(gen, ta);
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std::cout << GridLogMessage << "Nc (2n) = " << 2*ncolour << std::endl;
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std::cout << GridLogMessage << "Nc = " << ncolour << std::endl;
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std::cout << GridLogMessage << " t_" << gen << std::endl;
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std::cout << GridLogMessage << ta << std::endl;
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}
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@ -464,10 +456,17 @@ public:
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ColourMatrix Omega;
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Omega = Zero();
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for (int i = 0; i < ncolour; i++)
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std::cout << GridLogMessage << "I am a ColourMatrix" << std::endl;
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//for (int i = 0; i < ncolour; i++) wrong?!
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//{
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// Omega()()(i, 2*ncolour-1-i) = 1.;
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// Omega()()(2*ncolour-1-i, i) = -1;
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//}
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for (int i = 0; i < nsp; i++)
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{
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Omega()()(i, 2*ncolour-1-i) = 1.;
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Omega()()(2*ncolour-1-i, i) = -1;
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Omega()()(i, nsp+i) = 1.;
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Omega()()(nsp+i, i) = -1;
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}
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auto diff = Omega - (in * Omega * transpose(in) );
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@ -498,6 +497,8 @@ public:
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Omega = Zero();
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identity = 1.;
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std::cout << GridLogMessage << "I am a GaugeField " << std::endl;
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U = PeekIndex<LorentzIndex>(in,1);
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OmegaInvariance(U);
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@ -516,10 +517,12 @@ public:
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Omega = Zero();
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identity = 1.;
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for (int i = 0; i < ncolour; i++)
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std::cout << GridLogMessage << "I am a LatticeColourMatrix " << std::endl;
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for (int i = 0; i < nsp; i++)
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{
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Omega()()(i, ncolour+i) = 1.;
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Omega()()(ncolour+i, i) = -1;
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Omega()()(i, nsp+i) = 1.;
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Omega()()(nsp+i, i) = -1;
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}
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std::cout << GridLogMessage << "Omega = " << Omega()() << std::endl;
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@ -568,10 +571,10 @@ public:
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}
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}
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typedef Sp<1> Sp2;
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typedef Sp<2> Sp4;
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typedef Sp<3> Sp6;
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typedef Sp<4> Sp8;
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typedef Sp<2> Sp2;
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typedef Sp<4> Sp4;
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typedef Sp<6> Sp6;
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typedef Sp<8> Sp8;
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NAMESPACE_END(Grid);
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#endif
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@ -21,7 +21,7 @@ int main (int argc, char **argv)
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double vol = Umu.Grid()->gSites();
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const int nsp = Nc / 2;
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const int nsp = Sp<Nc>::nsp;
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identity = 1.;
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Cidentity = 1.;
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@ -34,8 +34,8 @@ int main (int argc, char **argv)
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std::cout << GridLogMessage << "-------" << std::endl;
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std::cout << GridLogMessage << "Checking Cold Configuration " << std::endl;
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std::cout << GridLogMessage << std::endl;
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Sp<nsp>::ColdConfiguration(pRNG,Umu);
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Sp<nsp>::OmegaInvariance(Umu);
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Sp<Nc>::ColdConfiguration(pRNG,Umu);
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Sp<Nc>::OmegaInvariance(Umu);
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std::cout << GridLogMessage << std::endl;
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Umu = Umu - identity;
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@ -47,8 +47,8 @@ int main (int argc, char **argv)
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std::cout << GridLogMessage << "-------" << std::endl;
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std::cout << GridLogMessage << "Checking Hot Configuration" << std::endl;
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std::cout << GridLogMessage << std::endl;
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Sp<nsp>::HotConfiguration(pRNG,Umu);
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Sp<nsp>::OmegaInvariance(Umu);
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Sp<Nc>::HotConfiguration(pRNG,Umu);
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Sp<Nc>::OmegaInvariance(Umu);
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std::cout << GridLogMessage << std::endl;
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U = PeekIndex<LorentzIndex>(Umu,1);
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std::cout << GridLogMessage << "Checking unitarity " << std::endl;
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@ -62,8 +62,8 @@ int main (int argc, char **argv)
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std::cout << GridLogMessage << "-------" << std::endl;
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std::cout << GridLogMessage << "Checking Tepid Configuration" << std::endl;
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std::cout << GridLogMessage << std::endl;
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Sp<nsp>::TepidConfiguration(pRNG,Umu);
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Sp<nsp>::OmegaInvariance(Umu);
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Sp<Nc>::TepidConfiguration(pRNG,Umu);
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Sp<Nc>::OmegaInvariance(Umu);
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std::cout << GridLogMessage << std::endl;
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U = PeekIndex<LorentzIndex>(Umu,1);
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std::cout << GridLogMessage << "Checking unitarity " << std::endl;
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@ -85,7 +85,7 @@ int main (int argc, char **argv)
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Complex i(0., 1.);
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Sp<nsp>::HotConfiguration(pRNG,Umu);
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Sp<Nc>::HotConfiguration(pRNG,Umu);
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U = PeekIndex<LorentzIndex>(Umu,0);
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for (int c1 = 0; c1 < nsp; c1++) //check on W
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{
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@ -123,7 +123,7 @@ int main (int argc, char **argv)
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std::cout << GridLogMessage << "Hot start ok " << std::endl;
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Sp<nsp>::HotConfiguration(pRNG,Umu);
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Sp<Nc>::HotConfiguration(pRNG,Umu);
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U = PeekIndex<LorentzIndex>(Umu,0);
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for (int c1 = 0; c1 < nsp; c1++) //check on W
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{
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@ -20,7 +20,8 @@ int main (int argc, char **argv)
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LatticeColourMatrixD aux(&Grid);
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LatticeColourMatrixD identity(&Grid);
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const int nsp = Nc / 2;
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//const int nsp = Nc / 2;
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const int nsp = Sp<Nc>::nsp;
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identity = 1.0;
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RealD epsilon = 0.01;
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@ -47,7 +48,7 @@ int main (int argc, char **argv)
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{
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std::cout << GridLogMessage << "This matrix should not leave Omega invariant, expect a warning" << std::endl;
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}
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Sp<nsp>::OmegaInvariance(U);
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Sp<Nc>::OmegaInvariance(U);
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std::cout <<GridLogMessage << std::endl;
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U = U + epsilon*identity;
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@ -78,7 +79,7 @@ int main (int argc, char **argv)
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// actual sp2n check
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std::cout << GridLogMessage << "Checking invariance after projection "<< std::endl;
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Sp<nsp>::OmegaInvariance(U);
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Sp<Nc>::OmegaInvariance(U);
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// checks on elements
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