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Added gauge invariance test
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@ -206,6 +206,65 @@ int main (int argc, char ** argv)
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DumpSliceNorm("Slice Norm Solution ",result,Nd-1);
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}
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////////////////////////////////////////////////////
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//Gauge invariance test
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////////////////////////////////////////////////////
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{
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std::cout<<"****************************************"<<std::endl;
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std::cout << "Gauge invariance test \n";
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std::cout<<"****************************************"<<std::endl;
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LatticeGaugeField U_GT(&GRID); // Gauge transformed field
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LatticeColourMatrix g(&GRID); // local Gauge xform matrix
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U_GT = Umu;
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// Make a random xform to teh gauge field
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SU<Nc>::RandomGaugeTransform(pRNG,U_GT,g); // Unit gauge
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LatticeFermionD src(&GRID);
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LatticeFermionD tmp(&GRID);
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LatticeFermionD ref(&GRID);
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LatticeFermionD diff(&GRID);
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// could loop over colors
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src=Zero();
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Coordinate point(4,0); // 0,0,0,0
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SpinColourVectorD ferm;
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ferm=Zero();
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ferm()(0)(0) = ComplexD(1.0);
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pokeSite(ferm,src,point);
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RealD mass=0.1;
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WilsonFermionD Dw(U_GT,GRID,RBGRID,mass);
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// Momentum space prop
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std::cout << " Solving by FFT and Feynman rules" <<std::endl;
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Dw.FreePropagator(src,ref,mass) ;
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Gamma G5(Gamma::Algebra::Gamma5);
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LatticeFermionD result(&GRID);
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const int sdir=0;
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////////////////////////////////////////////////////////////////////////
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// Conjugate gradient on normal equations system
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////////////////////////////////////////////////////////////////////////
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std::cout << " Solving by Conjugate Gradient (CGNE)" <<std::endl;
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Dw.Mdag(src,tmp);
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src=tmp;
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MdagMLinearOperator<WilsonFermionD,LatticeFermionD> HermOp(Dw);
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ConjugateGradient<LatticeFermionD> CG(1.0e-10,10000);
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CG(HermOp,src,result);
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////////////////////////////////////////////////////////////////////////
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std::cout << " Taking difference" <<std::endl;
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std::cout << "Dw result "<<norm2(result)<<std::endl;
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std::cout << "Dw ref "<<norm2(ref)<<std::endl;
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diff = ref - result;
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std::cout << "result - ref "<<norm2(diff)<<std::endl;
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DumpSliceNorm("Slice Norm Solution ",result,Nd-1);
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}
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Grid_finalize();
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}
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