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201 lines
6.9 KiB
C++
201 lines
6.9 KiB
C++
/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./tests/Test_wilson_force.cc
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Copyright (C) 2015
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Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License along
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with this program; if not, write to the Free Software Foundation, Inc.,
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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See the full license in the file "LICENSE" in the top level distribution directory
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*************************************************************************************/
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/* END LEGAL */
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#include <Grid/Grid.h>
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using namespace std;
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using namespace Grid;
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using namespace Grid::QCD;
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#define parallel_for PARALLEL_FOR_LOOP for
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int main (int argc, char ** argv)
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{
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Grid_init(&argc,&argv);
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std::vector<int> latt_size = GridDefaultLatt();
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std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
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std::vector<int> mpi_layout = GridDefaultMpi();
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GridCartesian Grid(latt_size,simd_layout,mpi_layout);
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GridRedBlackCartesian RBGrid(latt_size,simd_layout,mpi_layout);
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int threads = GridThread::GetThreads();
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std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;
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std::vector<int> seeds({1,2,3,4});
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GridParallelRNG pRNG(&Grid);
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pRNG.SeedRandomDevice();
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LatticeFermion phi (&Grid); gaussian(pRNG,phi);
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LatticeFermion Mphi (&Grid);
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LatticeFermion MphiPrime (&Grid);
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LatticeGaugeField U(&Grid);
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//SU2::HotConfiguration(pRNG,U);
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SU3::ColdConfiguration(pRNG,U);
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////////////////////////////////////
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// Unmodified matrix element
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////////////////////////////////////
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RealD mass=-4.0; //kills the diagonal term
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WilsonFermionR Dw (U, Grid,RBGrid,mass);
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Dw.M (phi,Mphi);
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ComplexD S = innerProduct(Mphi,Mphi); // pdag MdagM p
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// get the deriv of phidag MdagM phi with respect to "U"
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LatticeGaugeField UdSdU(&Grid);
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LatticeGaugeField tmp(&Grid);
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Dw.MDeriv(tmp , Mphi, phi,DaggerNo ); UdSdU=tmp;
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Dw.MDeriv(tmp , phi, Mphi,DaggerYes ); UdSdU=(UdSdU+tmp);
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// Take the trace
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UdSdU = Ta(UdSdU);
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LatticeFermion Ftmp (&Grid);
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////////////////////////////////////
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// Modify the gauge field a little
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////////////////////////////////////
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RealD dt = 0.0001;
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RealD Hmom = 0.0;
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RealD Hmomprime = 0.0;
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RealD Hmompp = 0.0;
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LatticeColourMatrix mommu(&Grid);
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LatticeColourMatrix forcemu(&Grid);
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LatticeGaugeField mom(&Grid);
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LatticeGaugeField Uprime(&Grid);
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for(int mu=0;mu<Nd;mu++){
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SU3::GaussianFundamentalLieAlgebraMatrix(pRNG, mommu); // Traceless antihermitian momentum; gaussian in lie alg
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Hmom -= real(sum(trace(mommu*mommu)));
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PokeIndex<LorentzIndex>(mom,mommu,mu);
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// fourth order exponential approx
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parallel_for(auto i=mom.begin();i<mom.end();i++) {
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Uprime[i](mu) = U[i](mu);
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Uprime[i](mu) += mom[i](mu)*U[i](mu)*dt ;
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Uprime[i](mu) += mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt/2.0);
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Uprime[i](mu) += mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt/6.0);
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Uprime[i](mu) += mom[i](mu) *mom[i](mu) *mom[i](mu) *mom[i](mu) *U[i](mu)*(dt*dt*dt*dt/24.0);
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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);
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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);
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}
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}
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std::cout << GridLogMessage <<"Initial mom hamiltonian is "<< Hmom <<std::endl;
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Dw.ImportGauge(Uprime);
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Dw.M (phi,MphiPrime);
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ComplexD Sprime = innerProduct(MphiPrime ,MphiPrime);
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//////////////////////////////////////////////
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// Use derivative to estimate dS
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//////////////////////////////////////////////
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for(int mu=0;mu<Nd;mu++){
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std::cout << "" <<std::endl;
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mommu = PeekIndex<LorentzIndex>(mom,mu);
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std::cout << GridLogMessage<< " Mommu " << norm2(mommu)<<std::endl;
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mommu = mommu+adj(mommu);
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std::cout << GridLogMessage<< " Mommu + Mommudag " << norm2(mommu)<<std::endl;
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mommu = PeekIndex<LorentzIndex>(UdSdU,mu);
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std::cout << GridLogMessage<< " dsdumu " << norm2(mommu)<<std::endl;
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mommu = mommu+adj(mommu);
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std::cout << GridLogMessage<< " dsdumu + dag " << norm2(mommu)<<std::endl;
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}
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LatticeComplex dS(&Grid); dS = zero;
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LatticeComplex dSmom(&Grid); dSmom = zero;
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LatticeComplex dSmom2(&Grid); dSmom2 = zero;
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for(int mu=0;mu<Nd;mu++){
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mommu = PeekIndex<LorentzIndex>(UdSdU,mu);
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mommu=Ta(mommu)*2.0;
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PokeIndex<LorentzIndex>(UdSdU,mommu,mu);
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}
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for(int mu=0;mu<Nd;mu++){
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mommu = PeekIndex<LorentzIndex>(mom,mu);
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std::cout << GridLogMessage<< " Mommu " << norm2(mommu)<<std::endl;
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mommu = mommu+adj(mommu);
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std::cout << GridLogMessage<< " Mommu + Mommudag " << norm2(mommu)<<std::endl;
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mommu = PeekIndex<LorentzIndex>(UdSdU,mu);
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std::cout << GridLogMessage<< " dsdumu " << norm2(mommu)<<std::endl;
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mommu = mommu+adj(mommu);
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std::cout << GridLogMessage<< " dsdumu + dag " << norm2(mommu)<<std::endl;
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}
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for(int mu=0;mu<Nd;mu++){
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forcemu = PeekIndex<LorentzIndex>(UdSdU,mu);
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mommu = PeekIndex<LorentzIndex>(mom,mu);
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// Update PF action density
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dS = dS+trace(mommu*forcemu)*dt;
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dSmom = dSmom - trace(mommu*forcemu) * dt;
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dSmom2 = dSmom2 - trace(forcemu*forcemu) *(0.25* dt*dt);
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// Update mom action density
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mommu = mommu + forcemu*(dt * 0.5);
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Hmomprime -= real(sum(trace(mommu*mommu)));
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}
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Complex dSpred = sum(dS);
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Complex dSm = sum(dSmom);
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Complex dSm2 = sum(dSmom2);
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std::cout << GridLogMessage <<"Initial mom hamiltonian is "<< Hmom <<std::endl;
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std::cout << GridLogMessage <<"Final mom hamiltonian is "<< Hmomprime <<std::endl;
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std::cout << GridLogMessage <<"Delta mom hamiltonian is "<< Hmomprime-Hmom <<std::endl;
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std::cout << GridLogMessage << " S "<<S<<std::endl;
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std::cout << GridLogMessage << " Sprime "<<Sprime<<std::endl;
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std::cout << GridLogMessage << "dS "<<Sprime-S<<std::endl;
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std::cout << GridLogMessage << "predict dS "<< dSpred <<std::endl;
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std::cout << GridLogMessage <<"dSm "<< dSm<<std::endl;
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std::cout << GridLogMessage <<"dSm2"<< dSm2<<std::endl;
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std::cout << GridLogMessage << "Total dS "<< Hmomprime - Hmom + Sprime - S <<std::endl;
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std::cout<< GridLogMessage << "Done" <<std::endl;
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Grid_finalize();
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}
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