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James H.'s code for general size Wilson loops

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This commit is contained in:
Antonin Portelli 2018-12-14 17:37:09 +00:00
parent c4b472176c
commit c637c0c48c
1 changed files with 184 additions and 4 deletions
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188
Grid/qcd/utils/WilsonLoops.h
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@ -6,10 +6,12 @@
Copyright (C) 2015 Copyright (C) 2015
Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk> Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
Author: Peter Boyle <paboyle@ph.ed.ac.uk> Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: neo <cossu@post.kek.jp> Author: neo <cossu@post.kek.jp>
Author: paboyle <paboyle@ph.ed.ac.uk> Author: paboyle <paboyle@ph.ed.ac.uk>
Author: James Harrison <J.Harrison@soton.ac.uk>
Author: Antonin Portelli <antonin.portelli@me.com>
This program is free software; you can redistribute it and/or modify This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by it under the terms of the GNU General Public License as published by
@ -645,6 +647,184 @@ static void StapleMult(GaugeMat &staple, const GaugeLorentz &Umu, int mu) {
} }
} }
} }
//////////////////////////////////////////////////
// Wilson loop of size (R1, R2), oriented in mu,nu plane
//////////////////////////////////////////////////
static void wilsonLoop(GaugeMat &wl, const std::vector<GaugeMat> &U,
const int Rmu, const int Rnu,
const int mu, const int nu) {
wl = U[nu];
for(int i = 0; i < Rnu-1; i++){
wl = Gimpl::CovShiftForward(U[nu], nu, wl);
}
for(int i = 0; i < Rmu; i++){
wl = Gimpl::CovShiftForward(U[mu], mu, wl);
}
for(int i = 0; i < Rnu; i++){
wl = Gimpl::CovShiftBackward(U[nu], nu, wl);
}
for(int i = 0; i < Rmu; i++){
wl = Gimpl::CovShiftBackward(U[mu], mu, wl);
}
}
//////////////////////////////////////////////////
// trace of Wilson Loop oriented in mu,nu plane
//////////////////////////////////////////////////
static void traceWilsonLoop(LatticeComplex &wl,
const std::vector<GaugeMat> &U,
const int Rmu, const int Rnu,
const int mu, const int nu) {
GaugeMat sp(U[0]._grid);
wilsonLoop(sp, U, Rmu, Rnu, mu, nu);
wl = trace(sp);
}
//////////////////////////////////////////////////
// sum over all planes of Wilson loop
//////////////////////////////////////////////////
static void siteWilsonLoop(LatticeComplex &Wl,
const std::vector<GaugeMat> &U,
const int R1, const int R2) {
LatticeComplex siteWl(U[0]._grid);
Wl = zero;
for (int mu = 1; mu < U[0]._grid->_ndimension; mu++) {
for (int nu = 0; nu < mu; nu++) {
traceWilsonLoop(siteWl, U, R1, R2, mu, nu);
Wl = Wl + siteWl;
traceWilsonLoop(siteWl, U, R2, R1, mu, nu);
Wl = Wl + siteWl;
}
}
}
//////////////////////////////////////////////////
// sum over planes of Wilson loop with length R1
// in the time direction
//////////////////////////////////////////////////
static void siteTimelikeWilsonLoop(LatticeComplex &Wl,
const std::vector<GaugeMat> &U,
const int R1, const int R2) {
LatticeComplex siteWl(U[0]._grid);
int ndim = U[0]._grid->_ndimension;
Wl = zero;
for (int nu = 0; nu < ndim - 1; nu++) {
traceWilsonLoop(siteWl, U, R1, R2, ndim-1, nu);
Wl = Wl + siteWl;
}
}
//////////////////////////////////////////////////
// sum Wilson loop over all planes orthogonal to the time direction
//////////////////////////////////////////////////
static void siteSpatialWilsonLoop(LatticeComplex &Wl,
const std::vector<GaugeMat> &U,
const int R1, const int R2) {
LatticeComplex siteWl(U[0]._grid);
Wl = zero;
for (int mu = 1; mu < U[0]._grid->_ndimension - 1; mu++) {
for (int nu = 0; nu < mu; nu++) {
traceWilsonLoop(siteWl, U, R1, R2, mu, nu);
Wl = Wl + siteWl;
traceWilsonLoop(siteWl, U, R2, R1, mu, nu);
Wl = Wl + siteWl;
}
}
}
//////////////////////////////////////////////////
// sum over all x,y,z,t and over all planes of Wilson loop
//////////////////////////////////////////////////
static Real sumWilsonLoop(const GaugeLorentz &Umu,
const int R1, const int R2) {
std::vector<GaugeMat> U(4, Umu._grid);
for (int mu = 0; mu < Umu._grid->_ndimension; mu++) {
U[mu] = PeekIndex<LorentzIndex>(Umu, mu);
}
LatticeComplex Wl(Umu._grid);
siteWilsonLoop(Wl, U, R1, R2);
TComplex Tp = sum(Wl);
Complex p = TensorRemove(Tp);
return p.real();
}
//////////////////////////////////////////////////
// sum over all x,y,z,t and over all planes of timelike Wilson loop
//////////////////////////////////////////////////
static Real sumTimelikeWilsonLoop(const GaugeLorentz &Umu,
const int R1, const int R2) {
std::vector<GaugeMat> U(4, Umu._grid);
for (int mu = 0; mu < Umu._grid->_ndimension; mu++) {
U[mu] = PeekIndex<LorentzIndex>(Umu, mu);
}
LatticeComplex Wl(Umu._grid);
siteTimelikeWilsonLoop(Wl, U, R1, R2);
TComplex Tp = sum(Wl);
Complex p = TensorRemove(Tp);
return p.real();
}
//////////////////////////////////////////////////
// sum over all x,y,z,t and over all planes of spatial Wilson loop
//////////////////////////////////////////////////
static Real sumSpatialWilsonLoop(const GaugeLorentz &Umu,
const int R1, const int R2) {
std::vector<GaugeMat> U(4, Umu._grid);
for (int mu = 0; mu < Umu._grid->_ndimension; mu++) {
U[mu] = PeekIndex<LorentzIndex>(Umu, mu);
}
LatticeComplex Wl(Umu._grid);
siteSpatialWilsonLoop(Wl, U, R1, R2);
TComplex Tp = sum(Wl);
Complex p = TensorRemove(Tp);
return p.real();
}
//////////////////////////////////////////////////
// average over all x,y,z,t and over all planes of Wilson loop
//////////////////////////////////////////////////
static Real avgWilsonLoop(const GaugeLorentz &Umu,
const int R1, const int R2) {
int ndim = Umu._grid->_ndimension;
Real sumWl = sumWilsonLoop(Umu, R1, R2);
Real vol = Umu._grid->gSites();
Real faces = 1.0 * ndim * (ndim - 1);
return sumWl / vol / faces / Nc; // Nc dependent... FIXME
}
//////////////////////////////////////////////////
// average over all x,y,z,t and over all planes of timelike Wilson loop
//////////////////////////////////////////////////
static Real avgTimelikeWilsonLoop(const GaugeLorentz &Umu,
const int R1, const int R2) {
int ndim = Umu._grid->_ndimension;
Real sumWl = sumTimelikeWilsonLoop(Umu, R1, R2);
Real vol = Umu._grid->gSites();
Real faces = 1.0 * (ndim - 1);
return sumWl / vol / faces / Nc; // Nc dependent... FIXME
}
//////////////////////////////////////////////////
// average over all x,y,z,t and over all planes of spatial Wilson loop
//////////////////////////////////////////////////
static Real avgSpatialWilsonLoop(const GaugeLorentz &Umu,
const int R1, const int R2) {
int ndim = Umu._grid->_ndimension;
Real sumWl = sumSpatialWilsonLoop(Umu, R1, R2);
Real vol = Umu._grid->gSites();
Real faces = 1.0 * (ndim - 1) * (ndim - 2);
return sumWl / vol / faces / Nc; // Nc dependent... FIXME
}
}; };
typedef WilsonLoops<PeriodicGimplR> ColourWilsonLoops; typedef WilsonLoops<PeriodicGimplR> ColourWilsonLoops;