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Grid/lib/qcd/LatticeTheories.h
2016-10-21 14:22:25 +01:00

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4.1 KiB
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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./lib/qcd/QCD.h
Copyright (C) 2015
Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
Author: neo <cossu@post.kek.jp>
Author: paboyle <paboyle@ph.ed.ac.uk>
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
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License along
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 */
#ifndef GRID_LT_H
#define GRID_LT_H
namespace Grid{
// First steps in the complete generalization of the Physics part
// Design not final
namespace LatticeTheories {
template <int Dimensions>
struct LatticeTheory {
static const int Nd = Dimensions;
static const int Nds = Dimensions * 2; // double stored field
template <typename vtype>
using iSinglet = iScalar<iScalar<iScalar<vtype> > >;
};
template <int Dimensions, int Colours>
struct LatticeGaugeTheory : public LatticeTheory<Dimensions> {
static const int Nds = Dimensions * 2;
static const int Nd = Dimensions;
static const int Nc = Colours;
template <typename vtype>
using iColourMatrix = iScalar<iScalar<iMatrix<vtype, Nc> > >;
template <typename vtype>
using iLorentzColourMatrix = iVector<iScalar<iMatrix<vtype, Nc> >, Nd>;
template <typename vtype>
using iDoubleStoredColourMatrix = iVector<iScalar<iMatrix<vtype, Nc> >, Nds>;
template <typename vtype>
using iColourVector = iScalar<iScalar<iVector<vtype, Nc> > >;
};
template <int Dimensions, int Colours, int Spin>
struct FermionicLatticeGaugeTheory
: public LatticeGaugeTheory<Dimensions, Colours> {
static const int Nd = Dimensions;
static const int Nds = Dimensions * 2;
static const int Nc = Colours;
static const int Ns = Spin;
template <typename vtype>
using iSpinMatrix = iScalar<iMatrix<iScalar<vtype>, Ns> >;
template <typename vtype>
using iSpinColourMatrix = iScalar<iMatrix<iMatrix<vtype, Nc>, Ns> >;
template <typename vtype>
using iSpinVector = iScalar<iVector<iScalar<vtype>, Ns> >;
template <typename vtype>
using iSpinColourVector = iScalar<iVector<iVector<vtype, Nc>, Ns> >;
// These 2 only if Spin is a multiple of 2
static const int Nhs = Spin / 2;
template <typename vtype>
using iHalfSpinVector = iScalar<iVector<iScalar<vtype>, Nhs> >;
template <typename vtype>
using iHalfSpinColourVector = iScalar<iVector<iVector<vtype, Nc>, Nhs> >;
//tests
typedef iColourMatrix<Complex> ColourMatrix;
typedef iColourMatrix<ComplexF> ColourMatrixF;
typedef iColourMatrix<ComplexD> ColourMatrixD;
};
// Examples, not complete now.
struct QCD : public FermionicLatticeGaugeTheory<4, 3, 4> {
static const int Xp = 0;
static const int Yp = 1;
static const int Zp = 2;
static const int Tp = 3;
static const int Xm = 4;
static const int Ym = 5;
static const int Zm = 6;
static const int Tm = 7;
typedef FermionicLatticeGaugeTheory FLGT;
typedef FLGT::iSpinMatrix<Complex > SpinMatrix;
typedef FLGT::iSpinMatrix<ComplexF > SpinMatrixF;
typedef FLGT::iSpinMatrix<ComplexD > SpinMatrixD;
};
struct QED : public FermionicLatticeGaugeTheory<4, 1, 4> {//fill
};
template <int Dimensions>
struct Scalar : public LatticeTheory<Dimensions> {};
}; // LatticeTheories
} // Grid
#endif