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Peter Boyle
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Hadrons/Modules/MContraction/WardIdentity.hpp
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Hadrons/Modules/MContraction/WardIdentity.hpp
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: Hadrons/Modules/MContraction/WardIdentity.hpp
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Copyright (C) 2015-2018
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Author: Antonin Portelli <antonin.portelli@me.com>
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Author: Lanny91 <andrew.lawson@gmail.com>
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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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#ifndef Hadrons_MContraction_WardIdentity_hpp_
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#define Hadrons_MContraction_WardIdentity_hpp_
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#include <Hadrons/Global.hpp>
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#include <Hadrons/Module.hpp>
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#include <Hadrons/ModuleFactory.hpp>
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BEGIN_HADRONS_NAMESPACE
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/*
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Ward Identity contractions
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-----------------------------
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* options:
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- q: propagator, 5D if available (string)
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- action: action module used for propagator solution (string)
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- mass: mass of quark (double)
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- test_axial: whether or not to test PCAC relation.
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*/
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/******************************************************************************
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* WardIdentity *
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******************************************************************************/
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BEGIN_MODULE_NAMESPACE(MContraction)
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class WardIdentityPar: Serializable
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{
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public:
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GRID_SERIALIZABLE_CLASS_MEMBERS(WardIdentityPar,
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std::string, q,
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std::string, action,
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double, mass,
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bool, test_axial);
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};
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template <typename FImpl>
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class TWardIdentity: public Module<WardIdentityPar>
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{
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public:
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FERM_TYPE_ALIASES(FImpl,);
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public:
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// constructor
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TWardIdentity(const std::string name);
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// destructor
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virtual ~TWardIdentity(void) {};
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// dependency relation
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virtual std::vector<std::string> getInput(void);
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virtual std::vector<std::string> getOutput(void);
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protected:
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// setup
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virtual void setup(void);
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// execution
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virtual void execute(void);
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private:
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unsigned int Ls_;
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};
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MODULE_REGISTER_TMP(WardIdentity, TWardIdentity<FIMPL>, MContraction);
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/******************************************************************************
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* TWardIdentity implementation *
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******************************************************************************/
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// constructor /////////////////////////////////////////////////////////////////
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template <typename FImpl>
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TWardIdentity<FImpl>::TWardIdentity(const std::string name)
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: Module<WardIdentityPar>(name)
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{}
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// dependencies/products ///////////////////////////////////////////////////////
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template <typename FImpl>
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std::vector<std::string> TWardIdentity<FImpl>::getInput(void)
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{
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std::vector<std::string> in = {par().q, par().action};
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return in;
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}
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template <typename FImpl>
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std::vector<std::string> TWardIdentity<FImpl>::getOutput(void)
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{
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std::vector<std::string> out = {};
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return out;
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}
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// setup ///////////////////////////////////////////////////////////////////////
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template <typename FImpl>
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void TWardIdentity<FImpl>::setup(void)
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{
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Ls_ = env().getObjectLs(par().q);
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if (Ls_ != env().getObjectLs(par().action))
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{
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HADRONS_ERROR(Size, "Ls mismatch between quark action and propagator");
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}
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envTmpLat(PropagatorField, "tmp");
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envTmpLat(PropagatorField, "vector_WI");
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if (par().test_axial)
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{
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envTmpLat(PropagatorField, "psi");
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envTmpLat(LatticeComplex, "PP");
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envTmpLat(LatticeComplex, "axial_defect");
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envTmpLat(LatticeComplex, "PJ5q");
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}
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}
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// execution ///////////////////////////////////////////////////////////////////
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template <typename FImpl>
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void TWardIdentity<FImpl>::execute(void)
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{
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LOG(Message) << "Performing Ward Identity checks for quark '" << par().q
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<< "'." << std::endl;
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auto &q = envGet(PropagatorField, par().q);
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auto &act = envGet(FMat, par().action);
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Gamma g5(Gamma::Algebra::Gamma5);
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// Compute D_mu V_mu, D here is backward derivative.
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envGetTmp(PropagatorField, tmp);
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envGetTmp(PropagatorField, vector_WI);
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vector_WI = Zero();
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for (unsigned int mu = 0; mu < Nd; ++mu)
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{
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act.ContractConservedCurrent(q, q, tmp, Current::Vector, mu);
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tmp -= Cshift(tmp, mu, -1);
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vector_WI += tmp;
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}
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// Test ward identity D_mu V_mu = 0;
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LOG(Message) << "Vector Ward Identity check Delta_mu V_mu = "
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<< norm2(vector_WI) << std::endl;
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if (par().test_axial)
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{
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envGetTmp(PropagatorField, psi);
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envGetTmp(LatticeComplex, PP);
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envGetTmp(LatticeComplex, axial_defect);
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envGetTmp(LatticeComplex, PJ5q);
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std::vector<TComplex> axial_buf;
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// Compute <P|D_mu A_mu>, D is backwards derivative.
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axial_defect = Zero();
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for (unsigned int mu = 0; mu < Nd; ++mu)
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{
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act.ContractConservedCurrent(q, q, tmp, Current::Axial, mu);
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tmp -= Cshift(tmp, mu, -1);
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axial_defect += trace(g5*tmp);
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}
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// Get <P|J5q> for 5D (Zero(); for 4D) and <P|P>.
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PJ5q = Zero();
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if (Ls_ > 1)
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{
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// <P|P>
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ExtractSlice(tmp, q, 0, 0);
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psi = 0.5 * (tmp - g5*tmp);
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ExtractSlice(tmp, q, Ls_ - 1, 0);
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psi += 0.5 * (tmp + g5*tmp);
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PP = trace(adj(psi)*psi);
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// <P|5Jq>
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ExtractSlice(tmp, q, Ls_/2 - 1, 0);
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psi = 0.5 * (tmp + g5*tmp);
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ExtractSlice(tmp, q, Ls_/2, 0);
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psi += 0.5 * (tmp - g5*tmp);
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PJ5q = trace(adj(psi)*psi);
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}
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else
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{
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PP = trace(adj(q)*q);
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}
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// Test ward identity <P|D_mu A_mu> = 2m<P|P> + 2<P|J5q>
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LOG(Message) << "|D_mu A_mu|^2 = " << norm2(axial_defect) << std::endl;
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LOG(Message) << "|PP|^2 = " << norm2(PP) << std::endl;
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LOG(Message) << "|PJ5q|^2 = " << norm2(PJ5q) << std::endl;
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LOG(Message) << "Axial Ward Identity defect Delta_mu A_mu = "
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<< norm2(axial_defect) << std::endl;
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// Axial defect by timeslice.
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axial_defect -= 2.*(par().mass*PP + PJ5q);
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LOG(Message) << "Check Axial defect by timeslice" << std::endl;
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sliceSum(axial_defect, axial_buf, Tp);
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for (int t = 0; t < axial_buf.size(); ++t)
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{
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LOG(Message) << "t = " << t << ": "
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<< TensorRemove(axial_buf[t]) << std::endl;
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}
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}
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}
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END_MODULE_NAMESPACE
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END_HADRONS_NAMESPACE
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#endif // Hadrons_WardIdentity_hpp_
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