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gamma.cpp
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gamma.cpp
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//
// gamma.cpp
// pertutils
//
// Created by Thorsten Kurth on 23.04.13.
// Copyright (c) 2013 Bergische Universität Wuppertal. All rights reserved.
//
#include "mathutils.hpp"
#include "pertutils.hpp"
namespace pertutils{
Matrix<dcomplex> get_gamma(const gamma_id gid){
Matrix<dcomplex> result(4,4,0.);
switch(gid){
case ONE:
result[0][0]=dcomplex(1.,0.);
result[1][1]=dcomplex(1.,0.);
result[2][2]=dcomplex(1.,0.);
result[3][3]=dcomplex(1.,0.);
break;
case GX:
result[0][3]=dcomplex(0,1.);
result[1][2]=dcomplex(0,1.);
result[2][1]=dcomplex(0,-1.);
result[3][0]=dcomplex(0,-1.);
break;
case GY:
result[0][3]=dcomplex(-1.,0.);
result[1][2]=dcomplex(1.,0.);
result[2][1]=dcomplex(1.,0.);
result[3][0]=dcomplex(-1.,0.);
break;
case GZ:
result[0][2]=dcomplex(0.,1.);
result[1][3]=dcomplex(0,-1.);
result[2][0]=dcomplex(0.,-1.);
result[3][1]=dcomplex(0.,1.);
break;
case GT:
result[0][2]=dcomplex(1.,0.);
result[1][3]=dcomplex(1.,0.);
result[2][0]=dcomplex(1.,0.);
result[3][1]=dcomplex(1.,0.);
break;
case G5:
result[0][0]=dcomplex(1.,0.);
result[1][1]=dcomplex(1.,0.);
result[2][2]=dcomplex(-1.,0.);
result[3][3]=dcomplex(-1.,0.);
break;
case CG5:
result[0][1]=dcomplex(-1.,0.);
result[1][0]=dcomplex(1.,0.);
result[2][3]=dcomplex(-1.,0.);
result[3][2]=dcomplex(1.,0.);
break;
case C:
result[0][1]=dcomplex(-1.,0.);
result[1][0]=dcomplex(1.,0.);
result[2][3]=dcomplex(1.,0.);
result[3][2]=dcomplex(-1.,0.);
case IG4CG5:
result[0][3]=dcomplex(0,-1.);
result[1][2]=dcomplex(0,1.);
result[2][1]=dcomplex(0,-1.);
result[3][0]=dcomplex(0,1.);
break;
case PARPLUS:
result[0][0]=dcomplex(0.5,0.);
result[1][1]=dcomplex(0.5,0.);
result[2][2]=dcomplex(0.5,0.);
result[3][3]=dcomplex(0.5,0.);
result[0][2]=dcomplex(0.5,0.);
result[1][3]=dcomplex(0.5,0.);
result[2][0]=dcomplex(0.5,0.);
result[3][1]=dcomplex(0.5,0.);
break;
case PARMINUS:
result[0][0]=dcomplex(0.5,0.);
result[1][1]=dcomplex(0.5,0.);
result[2][2]=dcomplex(0.5,0.);
result[3][3]=dcomplex(0.5,0.);
result[0][2]=dcomplex(-0.5,0.);
result[1][3]=dcomplex(-0.5,0.);
result[2][0]=dcomplex(-0.5,0.);
result[3][1]=dcomplex(-0.5,0.);
break;
}
return result;
}
Matrix<double> get_gamma(const basak_gamma_id gid){
Matrix<double> result(4,4,0.);
switch(gid){
case UTRANS:
result[0][1]=1./sqrt2;
result[0][3]=-1./sqrt2;
result[1][0]=-1./sqrt2;
result[1][2]=1./sqrt2;
result[2][1]=1./sqrt2;
result[2][3]=1./sqrt2;
result[3][0]=-1./sqrt2;
result[3][2]=-1./sqrt2;
break;
case G1G1:
result[0][1]=1./(2.*sqrt2);
result[0][3]=1./(2.*sqrt2);
result[1][0]=-1./(2.*sqrt2);
result[1][2]=-1./(2.*sqrt2);
result[2][1]=1./(2.*sqrt2);
result[2][3]=1./(2.*sqrt2);
result[3][0]=-1./(2.*sqrt2);
result[3][2]=-1./(2.*sqrt2);
break;
case G1U1:
result[0][1]=1./(2.*sqrt2);
result[0][3]=-1./(2.*sqrt2);
result[1][0]=-1./(2.*sqrt2);
result[1][2]=1./(2.*sqrt2);
result[2][1]=-1./(2.*sqrt2);
result[2][3]=1./(2.*sqrt2);
result[3][0]=1./(2.*sqrt2);
result[3][2]=-1./(2.*sqrt2);
break;
}
return result;
}
Matrix<double> get_polarization(const polarization_id pid){
Matrix<double> result(4,4,0.);
switch(pid){
case UPDOWNAV:
result[0][0]=0.25;
result[0][2]=0.25;
result[1][1]=0.25;
result[1][3]=0.25;
result[2][0]=0.25;
result[2][2]=0.25;
result[3][1]=0.25;
result[3][3]=0.25;
break;
case SING0:
result[0][1]=1./(2.*sqrt2);
result[0][3]=1./(2.*sqrt2);
result[1][0]=(-1.)/(2.*sqrt2);
result[1][2]=(-1.)/(2.*sqrt2);
result[2][1]=1./(2.*sqrt2);
result[2][3]=1./(2.*sqrt2);
result[3][0]=(-1.)/(2.*sqrt2);
result[3][2]=(-1.)/(2.*sqrt2);
break;
case TRIP0:
result[0][1]=-1./(2.*sqrt2);
result[0][3]=-1./(2.*sqrt2);
result[1][0]=-1./(2.*sqrt2);
result[1][2]=-1./(2.*sqrt2);
result[2][1]=-1./(2.*sqrt2);
result[2][3]=-1./(2.*sqrt2);
result[3][0]=-1./(2.*sqrt2);
result[3][2]=-1./(2.*sqrt2);
break;
case TRIPP1:
result[1][1]=0.5;
result[1][3]=0.5;
result[3][1]=0.5;
result[3][3]=0.5;
break;
case TRIPM1:
result[0][0]=0.5;
result[0][2]=0.5;
result[2][0]=0.5;
result[2][2]=0.5;
break;
}
return result;
}
}