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Merge branch 'develop' of https://github.com/paboyle/Grid into develop

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paboyle
2016-07-15 19:26:06 +01:00
parent da34d75841 8b9301a74c
commit f4dd5062d7
62 changed files with 12722 additions and 2805 deletions
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47
lib/qcd/utils/SUn.h
View File

@@ -43,7 +43,7 @@ public:
template<typename vtype> using iSUnMatrix = iScalar<iScalar<iMatrix<vtype, ncolour> > > ;
template<typename vtype> using iSU2Matrix = iScalar<iScalar<iMatrix<vtype, 2> > > ;
//////////////////////////////////////////////////////////////////////////////////////////////////
// Types can be accessed as SU<2>::Matrix , SU<2>::vSUnMatrix, SU<2>::LatticeMatrix etc...
//////////////////////////////////////////////////////////////////////////////////////////////////
@@ -552,15 +552,24 @@ Note that in step D setting B ~ X - A and using B in place of A in step E will g
}
// reunitarise??
static void LieRandomize(GridParallelRNG &pRNG,LatticeMatrix &out,double scale=1.0){
template<typename LatticeMatrixType>
static void LieRandomize(GridParallelRNG &pRNG,LatticeMatrixType &out,double scale=1.0){
GridBase *grid = out._grid;
LatticeComplex ca (grid);
LatticeMatrix lie(grid);
LatticeMatrix la (grid);
Complex ci(0.0,scale);
Complex cone(1.0,0.0);
Matrix ta;
typedef typename LatticeMatrixType::vector_type vector_type;
typedef typename LatticeMatrixType::scalar_type scalar_type;
typedef iSinglet<vector_type> vTComplexType;
typedef Lattice<vTComplexType> LatticeComplexType;
typedef typename GridTypeMapper<typename LatticeMatrixType::vector_object>::scalar_object MatrixType;
LatticeComplexType ca (grid);
LatticeMatrixType lie(grid);
LatticeMatrixType la (grid);
ComplexD ci(0.0,scale);
ComplexD cone(1.0,0.0);
MatrixType ta;
lie=zero;
for(int a=0;a<generators();a++){
@@ -596,9 +605,13 @@ Note that in step D setting B ~ X - A and using B in place of A in step E will g
}
static void HotConfiguration(GridParallelRNG &pRNG,LatticeGaugeField &out){
LatticeMatrix Umu(out._grid);
template<typename GaugeField>
static void HotConfiguration(GridParallelRNG &pRNG,GaugeField &out){
typedef typename GaugeField::vector_type vector_type;
typedef iSUnMatrix<vector_type> vMatrixType;
typedef Lattice<vMatrixType> LatticeMatrixType;
LatticeMatrixType Umu(out._grid);
for(int mu=0;mu<Nd;mu++){
LieRandomize(pRNG,Umu,1.0);
PokeIndex<LorentzIndex>(out,Umu,mu);
@@ -622,13 +635,15 @@ Note that in step D setting B ~ X - A and using B in place of A in step E will g
static void taProj( const LatticeMatrix &in, LatticeMatrix &out){
out = Ta(in);
}
static void taExp( const LatticeMatrix &x, LatticeMatrix &ex){
LatticeMatrix xn(x._grid);
template<typename LatticeMatrixType>
static void taExp( const LatticeMatrixType &x, LatticeMatrixType &ex){
typedef typename LatticeMatrixType::scalar_type ComplexType;
LatticeMatrixType xn(x._grid);
RealD nfac = 1.0;
xn = x;
ex =xn+Complex(1.0); // 1+x
ex =xn+ComplexType(1.0); // 1+x
// Do a 12th order exponentiation
for(int i=2; i <= 12; ++i)

592
lib/qcd/utils/WilsonLoops.h
View File

@@ -1,6 +1,6 @@
/*************************************************************************************
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/utils/WilsonLoops.h
@@ -25,391 +25,501 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
with this program; if not, write to the Free Software Foundation, Inc.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/
/* END LEGAL */
See the full license in the file "LICENSE" in the top level distribution
directory
*************************************************************************************/
/* END LEGAL */
#ifndef QCD_UTILS_WILSON_LOOPS_H
#define QCD_UTILS_WILSON_LOOPS_H
namespace Grid {
namespace QCD {
// Common wilson loop observables
template<class Gimpl>
class WilsonLoops : public Gimpl {
template <class Gimpl> class WilsonLoops : public Gimpl {
public:
INHERIT_GIMPL_TYPES(Gimpl);
typedef typename Gimpl::GaugeLinkField GaugeMat;
typedef typename Gimpl::GaugeField GaugeLorentz;
typedef typename Gimpl::GaugeField GaugeLorentz;
//////////////////////////////////////////////////
// directed plaquette oriented in mu,nu plane
//////////////////////////////////////////////////
static void dirPlaquette(GaugeMat &plaq,const std::vector<GaugeMat> &U, const int mu, const int nu)
{
// Annoyingly, must use either scope resolution to find dependent base class,
// or this-> ; there is no "this" in a static method. This forces explicit Gimpl scope
// resolution throughout the usage in this file, and rather defeats the purpose of deriving
static void dirPlaquette(GaugeMat &plaq, const std::vector<GaugeMat> &U,
const int mu, const int nu) {
// Annoyingly, must use either scope resolution to find dependent base
// class,
// or this-> ; there is no "this" in a static method. This forces explicit
// Gimpl scope
// resolution throughout the usage in this file, and rather defeats the
// purpose of deriving
// from Gimpl.
plaq= Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftBackward(U[nu],nu,
Gimpl::CovShiftForward (U[mu],mu,U[nu])));
plaq = Gimpl::CovShiftBackward(
U[mu], mu, Gimpl::CovShiftBackward(
U[nu], nu, Gimpl::CovShiftForward(U[mu], mu, U[nu])));
}
//////////////////////////////////////////////////
// trace of directed plaquette oriented in mu,nu plane
//////////////////////////////////////////////////
static void traceDirPlaquette(LatticeComplex &plaq, const std::vector<GaugeMat> &U, const int mu, const int nu)
{
static void traceDirPlaquette(LatticeComplex &plaq,
const std::vector<GaugeMat> &U, const int mu,
const int nu) {
GaugeMat sp(U[0]._grid);
dirPlaquette(sp,U,mu,nu);
plaq=trace(sp);
dirPlaquette(sp, U, mu, nu);
plaq = trace(sp);
}
//////////////////////////////////////////////////
// sum over all planes of plaquette
//////////////////////////////////////////////////
static void sitePlaquette(LatticeComplex &Plaq,const std::vector<GaugeMat> &U)
{
static void sitePlaquette(LatticeComplex &Plaq,
const std::vector<GaugeMat> &U) {
LatticeComplex sitePlaq(U[0]._grid);
Plaq=zero;
for(int mu=1;mu<Nd;mu++){
for(int nu=0;nu<mu;nu++){
traceDirPlaquette(sitePlaq,U,mu,nu);
Plaq = Plaq + sitePlaq;
Plaq = zero;
for (int mu = 1; mu < Nd; mu++) {
for (int nu = 0; nu < mu; nu++) {
traceDirPlaquette(sitePlaq, U, mu, nu);
Plaq = Plaq + sitePlaq;
}
}
}
//////////////////////////////////////////////////
// sum over all x,y,z,t and over all planes of plaquette
//////////////////////////////////////////////////
static RealD sumPlaquette(const GaugeLorentz &Umu){
std::vector<GaugeMat> U(Nd,Umu._grid);
static RealD sumPlaquette(const GaugeLorentz &Umu) {
std::vector<GaugeMat> U(4, Umu._grid);
for(int mu=0;mu<Nd;mu++){
U[mu] = PeekIndex<LorentzIndex>(Umu,mu);
for (int mu = 0; mu < Nd; mu++) {
U[mu] = PeekIndex<LorentzIndex>(Umu, mu);
}
LatticeComplex Plaq(Umu._grid);
sitePlaquette(Plaq,U);
sitePlaquette(Plaq, U);
TComplex Tp = sum(Plaq);
Complex p = TensorRemove(Tp);
Complex p = TensorRemove(Tp);
return p.real();
}
//////////////////////////////////////////////////
// average over all x,y,z,t and over all planes of plaquette
//////////////////////////////////////////////////
static RealD avgPlaquette(const GaugeLorentz &Umu){
static RealD avgPlaquette(const GaugeLorentz &Umu) {
RealD sumplaq = sumPlaquette(Umu);
double vol = Umu._grid->gSites();
double faces = (1.0*Nd*(Nd-1))/2.0;
return sumplaq/vol/faces/Nc; // Nd , Nc dependent... FIXME
double faces = (1.0 * Nd * (Nd - 1)) / 2.0;
return sumplaq / vol / faces / Nc; // Nd , Nc dependent... FIXME
}
static RealD linkTrace(const GaugeLorentz &Umu){
std::vector<GaugeMat> U(Nd,Umu._grid);
LatticeComplex Tr(Umu._grid); Tr=zero;
for(int mu=0;mu<Nd;mu++){
U[mu] = PeekIndex<LorentzIndex>(Umu,mu);
Tr = Tr+trace(U[mu]);
//////////////////////////////////////////////////
// average over traced single links
//////////////////////////////////////////////////
static RealD linkTrace(const GaugeLorentz &Umu) {
std::vector<GaugeMat> U(4, Umu._grid);
LatticeComplex Tr(Umu._grid);
Tr = zero;
for (int mu = 0; mu < Nd; mu++) {
U[mu] = PeekIndex<LorentzIndex>(Umu, mu);
Tr = Tr + trace(U[mu]);
}
TComplex Tp = sum(Tr);
Complex p = TensorRemove(Tp);
Complex p = TensorRemove(Tp);
double vol = Umu._grid->gSites();
return p.real()/vol/((double)(Nd*(Nd-1)));
return p.real() / vol / 4.0 / 3.0;
};
//////////////////////////////////////////////////
// the sum over all staples on each site
// the sum over all staples on each site in direction mu,nu
//////////////////////////////////////////////////
static void Staple(GaugeMat &staple,const GaugeLorentz &Umu,int mu){
static void Staple(GaugeMat &staple, const GaugeLorentz &Umu, int mu,
int nu) {
GridBase *grid = Umu._grid;
std::vector<GaugeMat> U(Nd,grid);
for(int d=0;d<Nd;d++){
U[d] = PeekIndex<LorentzIndex>(Umu,d);
std::vector<GaugeMat> U(4, grid);
for (int d = 0; d < Nd; d++) {
U[d] = PeekIndex<LorentzIndex>(Umu, d);
}
staple = zero;
GaugeMat tmp(grid);
for(int nu=0;nu<Nd;nu++){
if(nu != mu) {
if (nu != mu) {
// mu
// ^
// |__> nu
// __
// __
// |
// __|
//
staple+=Gimpl::ShiftStaple(
Gimpl::CovShiftForward (U[nu],nu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftIdentityBackward(U[nu],nu))),mu);
staple += Gimpl::ShiftStaple(
Gimpl::CovShiftForward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu, Gimpl::CovShiftIdentityBackward(U[nu], nu))),
mu);
// __
// |
// |__
// __
// |
// |__
//
//
staple+=Gimpl::ShiftStaple(
Gimpl::CovShiftBackward(U[nu],nu,
Gimpl::CovShiftBackward(U[mu],mu,U[nu])),mu);
staple += Gimpl::ShiftStaple(
Gimpl::CovShiftBackward(U[nu], nu,
Gimpl::CovShiftBackward(U[mu], mu, U[nu])),
mu);
}
}
//////////////////////////////////////////////////
// the sum over all staples on each site
//////////////////////////////////////////////////
static void Staple(GaugeMat &staple, const GaugeLorentz &Umu, int mu) {
GridBase *grid = Umu._grid;
std::vector<GaugeMat> U(Nd, grid);
for (int d = 0; d < Nd; d++) {
U[d] = PeekIndex<LorentzIndex>(Umu, d);
}
staple = zero;
GaugeMat tmp(grid);
for (int nu = 0; nu < Nd; nu++) {
if (nu != mu) {
// mu
// ^
// |__> nu
// __
// |
// __|
//
staple += Gimpl::ShiftStaple(
Gimpl::CovShiftForward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu, Gimpl::CovShiftIdentityBackward(U[nu], nu))),
mu);
// __
// |
// |__
//
//
staple += Gimpl::ShiftStaple(
Gimpl::CovShiftBackward(U[nu], nu,
Gimpl::CovShiftBackward(U[mu], mu, U[nu])),
mu);
}
}
}
//////////////////////////////////////////////////
// the sum over all staples on each site in direction mu,nu, upper part
//////////////////////////////////////////////////
static void StapleUpper(GaugeMat &staple, const GaugeLorentz &Umu, int mu,
int nu) {
staple = zero;
if (nu != mu) {
GridBase *grid = Umu._grid;
std::vector<GaugeMat> U(4, grid);
for (int d = 0; d < Nd; d++) {
U[d] = PeekIndex<LorentzIndex>(Umu, d);
}
// mu
// ^
// |__> nu
// __
// |
// __|
//
staple += Gimpl::ShiftStaple(
Gimpl::CovShiftForward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu, Gimpl::CovShiftIdentityBackward(U[nu], nu))),
mu);
}
}
//////////////////////////////////////////////////////
// Similar to above for rectangle is required
//////////////////////////////////////////////////////
static void dirRectangle(GaugeMat &rect,const std::vector<GaugeMat> &U, const int mu, const int nu)
{
rect = Gimpl::CovShiftForward(U[mu],mu,Gimpl::CovShiftForward(U[mu],mu,U[nu]))* // ->->|
adj(Gimpl::CovShiftForward(U[nu],nu,Gimpl::CovShiftForward(U[mu],mu,U[mu]))) ;
rect = rect +
Gimpl::CovShiftForward(U[mu],mu,Gimpl::CovShiftForward(U[nu],nu,U[nu]))* // ->||
adj(Gimpl::CovShiftForward(U[nu],nu,Gimpl::CovShiftForward(U[nu],nu,U[mu]))) ;
static void dirRectangle(GaugeMat &rect, const std::vector<GaugeMat> &U,
const int mu, const int nu) {
rect = Gimpl::CovShiftForward(
U[mu], mu, Gimpl::CovShiftForward(U[mu], mu, U[nu])) * // ->->|
adj(Gimpl::CovShiftForward(
U[nu], nu, Gimpl::CovShiftForward(U[mu], mu, U[mu])));
rect = rect +
Gimpl::CovShiftForward(
U[mu], mu, Gimpl::CovShiftForward(U[nu], nu, U[nu])) * // ->||
adj(Gimpl::CovShiftForward(
U[nu], nu, Gimpl::CovShiftForward(U[nu], nu, U[mu])));
}
static void traceDirRectangle(LatticeComplex &rect, const std::vector<GaugeMat> &U, const int mu, const int nu)
{
static void traceDirRectangle(LatticeComplex &rect,
const std::vector<GaugeMat> &U, const int mu,
const int nu) {
GaugeMat sp(U[0]._grid);
dirRectangle(sp,U,mu,nu);
rect=trace(sp);
dirRectangle(sp, U, mu, nu);
rect = trace(sp);
}
static void siteRectangle(LatticeComplex &Rect,const std::vector<GaugeMat> &U)
{
static void siteRectangle(LatticeComplex &Rect,
const std::vector<GaugeMat> &U) {
LatticeComplex siteRect(U[0]._grid);
Rect=zero;
for(int mu=1;mu<Nd;mu++){
for(int nu=0;nu<mu;nu++){
traceDirRectangle(siteRect,U,mu,nu);
Rect = Rect + siteRect;
Rect = zero;
for (int mu = 1; mu < Nd; mu++) {
for (int nu = 0; nu < mu; nu++) {
traceDirRectangle(siteRect, U, mu, nu);
Rect = Rect + siteRect;
}
}
}
//////////////////////////////////////////////////
// sum over all x,y,z,t and over all planes of plaquette
//////////////////////////////////////////////////
static RealD sumRectangle(const GaugeLorentz &Umu){
std::vector<GaugeMat> U(Nd,Umu._grid);
static RealD sumRectangle(const GaugeLorentz &Umu) {
std::vector<GaugeMat> U(Nd, Umu._grid);
for(int mu=0;mu<Nd;mu++){
U[mu] = PeekIndex<LorentzIndex>(Umu,mu);
for (int mu = 0; mu < Nd; mu++) {
U[mu] = PeekIndex<LorentzIndex>(Umu, mu);
}
LatticeComplex Rect(Umu._grid);
siteRectangle(Rect,U);
siteRectangle(Rect, U);
TComplex Tp = sum(Rect);
Complex p = TensorRemove(Tp);
Complex p = TensorRemove(Tp);
return p.real();
}
//////////////////////////////////////////////////
// average over all x,y,z,t and over all planes of plaquette
//////////////////////////////////////////////////
static RealD avgRectangle(const GaugeLorentz &Umu){
static RealD avgRectangle(const GaugeLorentz &Umu) {
RealD sumrect = sumRectangle(Umu);
double vol = Umu._grid->gSites();
double faces = (1.0*Nd*(Nd-1)); // 2 distinct orientations summed
return sumrect/vol/faces/Nc; // Nd , Nc dependent... FIXME
double faces = (1.0 * Nd * (Nd - 1)); // 2 distinct orientations summed
return sumrect / vol / faces / Nc; // Nd , Nc dependent... FIXME
}
//////////////////////////////////////////////////
// the sum over all staples on each site
//////////////////////////////////////////////////
static void RectStapleDouble(GaugeMat &U2,const GaugeMat & U,int mu){
U2 = U * Cshift(U,mu,1);
static void RectStapleDouble(GaugeMat &U2, const GaugeMat &U, int mu) {
U2 = U * Cshift(U, mu, 1);
}
////////////////////////////////////////////////////////////////////////////
// Hop by two optimisation strategy does not work nicely with Gparity. (could do,
// Hop by two optimisation strategy does not work nicely with Gparity. (could
// do,
// but need to track two deep where cross boundary and apply a conjugation).
// Must differentiate this in Gimpl, and use Gimpl::isPeriodicGaugeField to do so .
// Must differentiate this in Gimpl, and use Gimpl::isPeriodicGaugeField to do
// so .
////////////////////////////////////////////////////////////////////////////
static void RectStapleOptimised(GaugeMat &Stap,std::vector<GaugeMat> &U2,std::vector<GaugeMat> &U,int mu){
static void RectStapleOptimised(GaugeMat &Stap, std::vector<GaugeMat> &U2,
std::vector<GaugeMat> &U, int mu) {
Stap = zero;
GridBase *grid = U[0]._grid;
GaugeMat Staple2x1 (grid);
GaugeMat tmp (grid);
GaugeMat Staple2x1(grid);
GaugeMat tmp(grid);
for(int nu=0;nu<Nd;nu++){
if ( nu!=mu) {
for (int nu = 0; nu < Nd; nu++) {
if (nu != mu) {
// Up staple ___ ___
// | |
tmp = Cshift(adj(U[nu]),nu,-1);
tmp = adj(U2[mu])*tmp;
tmp = Cshift(tmp,mu,-2);
// Up staple ___ ___
// | |
tmp = Cshift(adj(U[nu]), nu, -1);
tmp = adj(U2[mu]) * tmp;
tmp = Cshift(tmp, mu, -2);
Staple2x1 = Gimpl::CovShiftForward (U[nu],nu,tmp);
Staple2x1 = Gimpl::CovShiftForward(U[nu], nu, tmp);
// Down staple
// |___ ___|
//
tmp = adj(U2[mu]) * U[nu];
Staple2x1 += Gimpl::CovShiftBackward(U[nu], nu, Cshift(tmp, mu, -2));
// Down staple
// |___ ___|
//
tmp = adj(U2[mu])*U[nu];
Staple2x1+= Gimpl::CovShiftBackward(U[nu],nu,Cshift(tmp,mu,-2));
// ___ ___
// | ___|
// |___ ___|
//
Stap += Cshift(Gimpl::CovShiftForward(U[mu], mu, Staple2x1), mu, 1);
// ___ ___
// | ___|
// |___ ___|
//
// ___ ___
// |___ |
// |___ ___|
//
Stap+= Cshift(Gimpl::CovShiftForward (U[mu],mu,Staple2x1),mu,1);
// tmp= Staple2x1* Cshift(U[mu],mu,-2);
// Stap+= Cshift(tmp,mu,1) ;
Stap += Cshift(Staple2x1, mu, 1) * Cshift(U[mu], mu, -1);
;
// ___ ___
// |___ |
// |___ ___|
//
// --
// | |
//
// | |
// tmp= Staple2x1* Cshift(U[mu],mu,-2);
// Stap+= Cshift(tmp,mu,1) ;
Stap+= Cshift(Staple2x1,mu,1)*Cshift(U[mu],mu,-1); ;
tmp = Cshift(adj(U2[nu]), nu, -2);
tmp = Gimpl::CovShiftBackward(U[mu], mu, tmp);
tmp = U2[nu] * Cshift(tmp, nu, 2);
Stap += Cshift(tmp, mu, 1);
// --
// | |
//
// | |
tmp = Cshift(adj(U2[nu]),nu,-2);
tmp = Gimpl::CovShiftBackward(U[mu],mu,tmp);
tmp = U2[nu]*Cshift(tmp,nu,2);
Stap+= Cshift(tmp, mu, 1);
// | |
//
// | |
// --
// | |
//
// | |
// --
tmp = Gimpl::CovShiftBackward(U[mu],mu,U2[nu]);
tmp = adj(U2[nu])*tmp;
tmp = Cshift(tmp,nu,-2);
Stap+=Cshift(tmp, mu, 1);
}}
}
static void RectStaple(GaugeMat &Stap,const GaugeLorentz & Umu,int mu)
{
RectStapleUnoptimised(Stap,Umu,mu);
}
static void RectStaple(const GaugeLorentz & Umu,GaugeMat &Stap,
std::vector<GaugeMat> &U2,
std::vector<GaugeMat> &U, int mu)
{
if ( Gimpl::isPeriodicGaugeField() ){
RectStapleOptimised(Stap,U2,U,mu);
} else {
RectStapleUnoptimised(Stap,Umu,mu);
tmp = Gimpl::CovShiftBackward(U[mu], mu, U2[nu]);
tmp = adj(U2[nu]) * tmp;
tmp = Cshift(tmp, nu, -2);
Stap += Cshift(tmp, mu, 1);
}
}
}
static void RectStapleUnoptimised(GaugeMat &Stap,const GaugeLorentz &Umu,int mu){
static void RectStaple(GaugeMat &Stap, const GaugeLorentz &Umu, int mu) {
RectStapleUnoptimised(Stap, Umu, mu);
}
static void RectStaple(const GaugeLorentz &Umu, GaugeMat &Stap,
std::vector<GaugeMat> &U2, std::vector<GaugeMat> &U,
int mu) {
if (Gimpl::isPeriodicGaugeField()) {
RectStapleOptimised(Stap, U2, U, mu);
} else {
RectStapleUnoptimised(Stap, Umu, mu);
}
}
static void RectStapleUnoptimised(GaugeMat &Stap, const GaugeLorentz &Umu,
int mu) {
GridBase *grid = Umu._grid;
std::vector<GaugeMat> U(Nd,grid);
for(int d=0;d<Nd;d++){
U[d] = PeekIndex<LorentzIndex>(Umu,d);
std::vector<GaugeMat> U(Nd, grid);
for (int d = 0; d < Nd; d++) {
U[d] = PeekIndex<LorentzIndex>(Umu, d);
}
Stap=zero;
Stap = zero;
for(int nu=0;nu<Nd;nu++){
if ( nu!=mu) {
// __ ___
// | __ |
//
Stap+= Gimpl::ShiftStaple(
Gimpl::CovShiftForward (U[mu],mu,
Gimpl::CovShiftForward (U[nu],nu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftIdentityBackward(U[nu],nu))))) , mu);
for (int nu = 0; nu < Nd; nu++) {
if (nu != mu) {
// __ ___
// | __ |
//
Stap += Gimpl::ShiftStaple(
Gimpl::CovShiftForward(
U[mu], mu,
Gimpl::CovShiftForward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu,
Gimpl::CovShiftBackward(
U[mu], mu,
Gimpl::CovShiftIdentityBackward(U[nu], nu))))),
mu);
// __
// |__ __ |
// __
// |__ __ |
Stap+= Gimpl::ShiftStaple(
Gimpl::CovShiftForward (U[mu],mu,
Gimpl::CovShiftBackward(U[nu],nu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftBackward(U[mu],mu, U[nu])))) , mu);
Stap += Gimpl::ShiftStaple(
Gimpl::CovShiftForward(
U[mu], mu,
Gimpl::CovShiftBackward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu, Gimpl::CovShiftBackward(U[mu], mu, U[nu])))),
mu);
// __
// |__ __ |
// __
// |__ __ |
Stap+= Gimpl::ShiftStaple(
Gimpl::CovShiftBackward(U[nu],nu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftForward(U[nu],nu,U[mu])))) , mu);
Stap += Gimpl::ShiftStaple(
Gimpl::CovShiftBackward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu,
Gimpl::CovShiftBackward(
U[mu], mu, Gimpl::CovShiftForward(U[nu], nu, U[mu])))),
mu);
// __ ___
// |__ |
// __ ___
// |__ |
Stap+= Gimpl::ShiftStaple(
Gimpl::CovShiftForward (U[nu],nu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftBackward(U[nu],nu,U[mu])))) , mu);
Stap += Gimpl::ShiftStaple(
Gimpl::CovShiftForward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu,
Gimpl::CovShiftBackward(
U[mu], mu, Gimpl::CovShiftBackward(U[nu], nu, U[mu])))),
mu);
// --
// | |
//
// | |
Stap+= Gimpl::ShiftStaple(
Gimpl::CovShiftForward(U[nu],nu,
Gimpl::CovShiftForward(U[nu],nu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftBackward(U[nu],nu,
Gimpl::CovShiftIdentityBackward(U[nu],nu))))) , mu);
// --
// | |
//
// | |
Stap += Gimpl::ShiftStaple(
Gimpl::CovShiftForward(
U[nu], nu,
Gimpl::CovShiftForward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu,
Gimpl::CovShiftBackward(
U[nu], nu,
Gimpl::CovShiftIdentityBackward(U[nu], nu))))),
mu);
// | |
//
// | |
// --
Stap+= Gimpl::ShiftStaple(
Gimpl::CovShiftBackward(U[nu],nu,
Gimpl::CovShiftBackward(U[nu],nu,
Gimpl::CovShiftBackward(U[mu],mu,
Gimpl::CovShiftForward (U[nu],nu,U[nu])))) , mu);
}}
// | |
//
// | |
// --
Stap += Gimpl::ShiftStaple(
Gimpl::CovShiftBackward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[nu], nu,
Gimpl::CovShiftBackward(
U[mu], mu, Gimpl::CovShiftForward(U[nu], nu, U[nu])))),
mu);
}
}
}
};
typedef WilsonLoops<PeriodicGimplR> ColourWilsonLoops;
typedef WilsonLoops<PeriodicGimplR> U1WilsonLoops;
typedef WilsonLoops<PeriodicGimplR> SU2WilsonLoops;
typedef WilsonLoops<PeriodicGimplR> SU3WilsonLoops;
}
}
typedef WilsonLoops<PeriodicGimplR> ColourWilsonLoops;
typedef WilsonLoops<PeriodicGimplR> U1WilsonLoops;
typedef WilsonLoops<PeriodicGimplR> SU2WilsonLoops;
typedef WilsonLoops<PeriodicGimplR> SU3WilsonLoops;
}}
#endif
#endif