mirror of
https://github.com/paboyle/Grid.git
synced 2024-09-20 09:15:38 +01:00
204 lines
6.9 KiB
C++
204 lines
6.9 KiB
C++
/*************************************************************************************
|
|
|
|
Grid physics library, www.github.com/paboyle/Grid
|
|
|
|
Source file: ./tests/Test_wilson_force.cc
|
|
|
|
Copyright (C) 2015
|
|
|
|
Author: Peter Boyle <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 */
|
|
#include <Grid/Grid.h>
|
|
|
|
using namespace std;
|
|
using namespace Grid;
|
|
using namespace Grid::QCD;
|
|
|
|
|
|
|
|
int main (int argc, char ** argv)
|
|
{
|
|
Grid_init(&argc,&argv);
|
|
|
|
std::vector<int> latt_size = GridDefaultLatt();
|
|
std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
|
|
std::vector<int> mpi_layout = GridDefaultMpi();
|
|
|
|
GridCartesian Grid(latt_size,simd_layout,mpi_layout);
|
|
GridRedBlackCartesian RBGrid(&Grid);
|
|
|
|
int threads = GridThread::GetThreads();
|
|
std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;
|
|
|
|
std::vector<int> seeds({1,2,3,4});
|
|
|
|
GridParallelRNG pRNG(&Grid);
|
|
pRNG.SeedFixedIntegers(std::vector<int>({45,12,81,9}));
|
|
|
|
LatticeFermion phi (&Grid); gaussian(pRNG,phi);
|
|
LatticeFermion Mphi (&Grid);
|
|
LatticeFermion MphiPrime (&Grid);
|
|
|
|
LatticeGaugeField U(&Grid);
|
|
|
|
//SU2::HotConfiguration(pRNG,U);
|
|
SU3::ColdConfiguration(pRNG,U);
|
|
|
|
////////////////////////////////////
|
|
// Unmodified matrix element
|
|
////////////////////////////////////
|
|
RealD mass=-4.0; //kills the diagonal term
|
|
WilsonFermionR Dw (U, Grid,RBGrid,mass);
|
|
Dw.M (phi,Mphi);
|
|
|
|
ComplexD S = innerProduct(Mphi,Mphi); // pdag MdagM p
|
|
|
|
// get the deriv of phidag MdagM phi with respect to "U"
|
|
LatticeGaugeField UdSdU(&Grid);
|
|
LatticeGaugeField tmp(&Grid);
|
|
|
|
Dw.MDeriv(tmp , Mphi, phi,DaggerNo ); UdSdU=tmp;
|
|
Dw.MDeriv(tmp , phi, Mphi,DaggerYes ); UdSdU=(UdSdU+tmp);
|
|
|
|
// Take the trace
|
|
UdSdU = Ta(UdSdU);
|
|
|
|
LatticeFermion Ftmp (&Grid);
|
|
|
|
////////////////////////////////////
|
|
// Modify the gauge field a little
|
|
////////////////////////////////////
|
|
RealD dt = 0.0001;
|
|
RealD Hmom = 0.0;
|
|
RealD Hmomprime = 0.0;
|
|
RealD Hmompp = 0.0;
|
|
LatticeColourMatrix mommu(&Grid);
|
|
LatticeColourMatrix forcemu(&Grid);
|
|
LatticeGaugeField mom(&Grid);
|
|
LatticeGaugeField Uprime(&Grid);
|
|
|
|
for(int mu=0;mu<Nd;mu++){
|
|
|
|
// Traceless antihermitian momentum; gaussian in lie alg
|
|
SU3::GaussianFundamentalLieAlgebraMatrix(pRNG, mommu);
|
|
|
|
Hmom -= real(sum(trace(mommu*mommu)));
|
|
|
|
PokeIndex<LorentzIndex>(mom,mommu,mu);
|
|
|
|
// fourth order exponential approx
|
|
parallel_for(auto i=mom.begin();i<mom.end();i++) {
|
|
Uprime[i](mu) = U[i](mu);
|
|
Uprime[i](mu) += mom[i](mu)*U[i](mu)*dt ;
|
|
Uprime[i](mu) += mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt/2.0);
|
|
Uprime[i](mu) += mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt/6.0);
|
|
Uprime[i](mu) += mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt/24.0);
|
|
Uprime[i](mu) += mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt*dt/120.0);
|
|
Uprime[i](mu) += mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt*dt*dt/720.0);
|
|
}
|
|
|
|
}
|
|
|
|
std::cout << GridLogMessage <<"Initial mom hamiltonian is "<< Hmom <<std::endl;
|
|
Dw.ImportGauge(Uprime);
|
|
Dw.M (phi,MphiPrime);
|
|
|
|
ComplexD Sprime = innerProduct(MphiPrime ,MphiPrime);
|
|
|
|
//////////////////////////////////////////////
|
|
// Use derivative to estimate dS
|
|
//////////////////////////////////////////////
|
|
|
|
|
|
for(int mu=0;mu<Nd;mu++){
|
|
std::cout << "" <<std::endl;
|
|
mommu = PeekIndex<LorentzIndex>(mom,mu);
|
|
std::cout << GridLogMessage<< " Mommu " << norm2(mommu)<<std::endl;
|
|
mommu = mommu+adj(mommu);
|
|
std::cout << GridLogMessage<< " Mommu + Mommudag " << norm2(mommu)<<std::endl;
|
|
mommu = PeekIndex<LorentzIndex>(UdSdU,mu);
|
|
std::cout << GridLogMessage<< " dsdumu " << norm2(mommu)<<std::endl;
|
|
mommu = mommu+adj(mommu);
|
|
std::cout << GridLogMessage<< " dsdumu + dag " << norm2(mommu)<<std::endl;
|
|
}
|
|
|
|
LatticeComplex dS(&Grid); dS = zero;
|
|
LatticeComplex dSmom(&Grid); dSmom = zero;
|
|
LatticeComplex dSmom2(&Grid); dSmom2 = zero;
|
|
|
|
for(int mu=0;mu<Nd;mu++){
|
|
mommu = PeekIndex<LorentzIndex>(UdSdU,mu);
|
|
mommu=Ta(mommu)*2.0;
|
|
PokeIndex<LorentzIndex>(UdSdU,mommu,mu);
|
|
}
|
|
|
|
|
|
for(int mu=0;mu<Nd;mu++){
|
|
mommu = PeekIndex<LorentzIndex>(mom,mu);
|
|
std::cout << GridLogMessage<< " Mommu " << norm2(mommu)<<std::endl;
|
|
mommu = mommu+adj(mommu);
|
|
std::cout << GridLogMessage<< " Mommu + Mommudag " << norm2(mommu)<<std::endl;
|
|
mommu = PeekIndex<LorentzIndex>(UdSdU,mu);
|
|
std::cout << GridLogMessage<< " dsdumu " << norm2(mommu)<<std::endl;
|
|
mommu = mommu+adj(mommu);
|
|
std::cout << GridLogMessage<< " dsdumu + dag " << norm2(mommu)<<std::endl;
|
|
}
|
|
|
|
for(int mu=0;mu<Nd;mu++){
|
|
forcemu = PeekIndex<LorentzIndex>(UdSdU,mu);
|
|
mommu = PeekIndex<LorentzIndex>(mom,mu);
|
|
|
|
// Update PF action density
|
|
dS = dS+trace(mommu*forcemu)*dt;
|
|
|
|
dSmom = dSmom - trace(mommu*forcemu) * dt;
|
|
dSmom2 = dSmom2 - trace(forcemu*forcemu) *(0.25* dt*dt);
|
|
|
|
// Update mom action density
|
|
mommu = mommu + forcemu*(dt * 0.5);
|
|
|
|
Hmomprime -= real(sum(trace(mommu*mommu)));
|
|
|
|
}
|
|
|
|
ComplexD dSpred = sum(dS);
|
|
ComplexD dSm = sum(dSmom);
|
|
ComplexD dSm2 = sum(dSmom2);
|
|
|
|
|
|
std::cout << GridLogMessage <<"Initial mom hamiltonian is "<< Hmom <<std::endl;
|
|
std::cout << GridLogMessage <<"Final mom hamiltonian is "<< Hmomprime <<std::endl;
|
|
std::cout << GridLogMessage <<"Delta mom hamiltonian is "<< Hmomprime-Hmom <<std::endl;
|
|
|
|
std::cout << GridLogMessage << " S "<<S<<std::endl;
|
|
std::cout << GridLogMessage << " Sprime "<<Sprime<<std::endl;
|
|
std::cout << GridLogMessage << "dS "<<Sprime-S<<std::endl;
|
|
std::cout << GridLogMessage << "predict dS "<< dSpred <<std::endl;
|
|
std::cout << GridLogMessage <<"dSm "<< dSm<<std::endl;
|
|
std::cout << GridLogMessage <<"dSm2"<< dSm2<<std::endl;
|
|
|
|
std::cout << GridLogMessage << "Total dS "<< Hmomprime - Hmom + Sprime - S <<std::endl;
|
|
|
|
assert( fabs(real(Sprime-S-dSpred)) < 1.0 ) ;
|
|
|
|
std::cout<< GridLogMessage << "Done" <<std::endl;
|
|
Grid_finalize();
|
|
}
|