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138 lines
4.8 KiB
C++
138 lines
4.8 KiB
C++
/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: tests/core/Test_qed.cc
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Copyright (C) 2015-2018
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Author: Antonin Portelli <antonin.portelli@me.com>
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Author: James Harrison <J.Harrison@soton.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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#include <Grid/Grid.h>
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using namespace Grid;
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typedef PeriodicGaugeImpl<QedGImplR> QedPeriodicGImplR;
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typedef PhotonR::GaugeField EmField;
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typedef PhotonR::GaugeLinkField EmComp;
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const int NCONFIGS = 20;
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const int NWILSON = 10;
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int main(int argc, char *argv[])
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{
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// initialization
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Grid_init(&argc, &argv);
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std::cout << GridLogMessage << "Grid initialized" << std::endl;
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// QED stuff
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Coordinate latt_size = GridDefaultLatt();
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Coordinate simd_layout = GridDefaultSimd(4, vComplex::Nsimd());
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Coordinate mpi_layout = GridDefaultMpi();
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GridCartesian grid(latt_size,simd_layout,mpi_layout);
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GridParallelRNG pRNG(&grid);
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PhotonR photon(&grid, PhotonR::Gauge::coulomb, PhotonR::ZmScheme::qedL);
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EmField a(&grid);
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EmField expA(&grid);
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Complex imag_unit(0, 1);
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Real wlA;
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std::vector<Real> logWlAvg(NWILSON, 0.0), logWlTime(NWILSON, 0.0), logWlSpace(NWILSON, 0.0);
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pRNG.SeedFixedIntegers({1, 2, 3, 4});
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std::cout << GridLogMessage << "Wilson loop calculation beginning" << std::endl;
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for(int ic = 0; ic < NCONFIGS; ic++){
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std::cout << GridLogMessage << "Configuration " << ic <<std::endl;
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photon.StochasticField(a, pRNG);
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// Exponentiate photon field
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expA = exp(imag_unit*a);
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// Calculate zero-modes
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std::vector<EmField::vector_object::scalar_object> zm;
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std::cout << GridLogMessage << "Total zero-mode norm 2 "
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<< std::sqrt(norm2(sum(a))) << std::endl;
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std::cout << GridLogMessage << "Spatial zero-mode norm 2" << std::endl;
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sliceSum(a, zm, grid.Nd() - 1);
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for (unsigned int t = 0; t < latt_size.size(); ++t)
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{
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std::cout << GridLogMessage << "t = " << t << " " << std::sqrt(norm2(zm[t])) << std::endl;
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}
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// Calculate divergence
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EmComp diva(&grid), amu(&grid);
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diva = Zero();
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for (unsigned int mu = 0; mu < grid.Nd(); ++mu)
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{
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amu = peekLorentz(a, mu);
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diva += amu - Cshift(amu, mu, -1);
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if (mu == grid.Nd() - 2)
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{
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std::cout << GridLogMessage << "Spatial divergence norm 2 " << std::sqrt(norm2(diva)) << std::endl;
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}
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}
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std::cout << GridLogMessage << "Total divergence norm 2 " << std::sqrt(norm2(diva)) << std::endl;
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// Calculate Wilson loops
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for(int iw=1; iw<=NWILSON; iw++){
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wlA = WilsonLoops<QedPeriodicGImplR>::avgWilsonLoop(expA, iw, iw) * 3;
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logWlAvg[iw-1] -= 2*log(wlA);
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wlA = WilsonLoops<QedPeriodicGImplR>::avgTimelikeWilsonLoop(expA, iw, iw) * 3;
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logWlTime[iw-1] -= 2*log(wlA);
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wlA = WilsonLoops<QedPeriodicGImplR>::avgSpatialWilsonLoop(expA, iw, iw) * 3;
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logWlSpace[iw-1] -= 2*log(wlA);
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}
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}
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std::cout << GridLogMessage << "Wilson loop calculation completed" << std::endl;
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// Calculate Wilson loops
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// From A. Portelli's PhD thesis:
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// size -2*log(W)
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// 1 0.500000000(1)
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// 2 1.369311535(1)
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// 3 2.305193057(1)
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// 4 3.261483854(1)
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// 5 4.228829967(1)
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// 6 5.203604529(1)
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// 7 6.183728249(1)
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// 8 7.167859805(1)
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// 9 8.155091868(1)
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// 10 9.144788116(1)
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for(int iw=1; iw<=10; iw++){
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std::cout << GridLogMessage << iw << 'x' << iw << " Wilson loop" << std::endl;
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std::cout << GridLogMessage << "-2*log(W) average: " << logWlAvg[iw-1]/NCONFIGS << std::endl;
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std::cout << GridLogMessage << "-2*log(W) timelike: " << logWlTime[iw-1]/NCONFIGS << std::endl;
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std::cout << GridLogMessage << "-2*log(W) spatial: " << logWlSpace[iw-1]/NCONFIGS << std::endl;
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}
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// epilogue
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std::cout << GridLogMessage << "Grid is finalizing now" << std::endl;
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Grid_finalize();
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return EXIT_SUCCESS;
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}
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