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Merge branch 'temporary-smearing' into develop
This commit is contained in:
@ -1,6 +1,6 @@
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||||
/*************************************************************************************
|
||||
/*************************************************************************************
|
||||
|
||||
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
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||||
#define QCD_UTILS_WILSON_LOOPS_H
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||||
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
|
Reference in New Issue
Block a user