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Sp(2N). The group can be specified through the GroupName namespace:: -The most important external methods are:: + namespace GroupName { + class SU {}; + class Sp {}; + } + +A simpler interface is achieved by instantiating the GaugeGroup class with a specific group:: + + template + using SU = GaugeGroup; + + template + using Sp = GaugeGroup; + +Specific instantiations are then defined:: + + typedef SU<2> SU2; + typedef SU<3> SU3; + typedef SU<4> SU4; + typedef SU<5> SU5; + typedef Sp<2> Sp2; + typedef Sp<4> Sp4; + typedef Sp<6> Sp6; + typedef Sp<8> Sp8; + +Some methods are common to both gauge groups. The most important common external methods are:: static void printGenerators(void) ; template static void generator(int lieIndex, iSUnMatrix &ta) ; + static void GaussianFundamentalLieAlgebraMatrix(GridParallelRNG &pRNG, + LatticeMatrix &out, + Real scale = 1.0) ; + static void HotConfiguration(GridParallelRNG &pRNG, GaugeField &out) ; + static void TepidConfiguration(GridParallelRNG &pRNG,GaugeField &out); + static void ColdConfiguration(GaugeField &out); + static void taProj( const LatticeMatrixType &in, LatticeMatrixType &out); + static void taExp(const LatticeMatrixType &x, LatticeMatrixType &ex) ; + +Whenever needed, a different implementation of these methods for the gauge groups is achieved by overloading. For example,:: + + template // shared interface for the traceless-antihermitian projection + static void taProj(const LatticeMatrixType &in, LatticeMatrixType &out) { + taProj(in, out, group_name()); + } + + template // overloaded function to SU(N) simply perform Ta + static void taProj(const LatticeMatrixType &in, LatticeMatrixType &out, GroupName::SU) { + out = Ta(in); + } + + template // overloaded function to Sp(2N) must use a modified Ta function + static void taProj(const LatticeMatrixType &in, LatticeMatrixType &out, GroupName::Sp) { + out = SpTa(in); + } + +Gauge Group: SU(N) +-------- +The specialisation of GaugeGroup to SU(N), formally part of qcd/utils/GaugeGroup.h, is found in the file qcd/utils/SUn.impl +It contains methods that are only implemented for SU(N), and specialisations of shared methods to the special unitary group + +The most important external methods are:: static void SubGroupHeatBath(GridSerialRNG &sRNG, GridParallelRNG &pRNG, RealD beta, // coeff multiplying staple in action (with no 1/Nc) LatticeMatrix &link, const LatticeMatrix &barestaple, // multiplied by action coeffs so th int su2_subgroup, int nheatbath, LatticeInteger &wheremask); - - static void GaussianFundamentalLieAlgebraMatrix(GridParallelRNG &pRNG, - LatticeMatrix &out, - Real scale = 1.0) ; static void GaugeTransform( GaugeField &Umu, GaugeMat &g) static void RandomGaugeTransform(GridParallelRNG &pRNG, GaugeField &Umu, GaugeMat &g); - static void HotConfiguration(GridParallelRNG &pRNG, GaugeField &out) ; - static void TepidConfiguration(GridParallelRNG &pRNG,GaugeField &out); - static void ColdConfiguration(GaugeField &out); - - static void taProj( const LatticeMatrixType &in, LatticeMatrixType &out); - static void taExp(const LatticeMatrixType &x, LatticeMatrixType &ex) ; - - static int su2subgroups(void) ; // returns how many subgroups - - -Specific instantiations are defined:: - - typedef SU<2> SU2; - typedef SU<3> SU3; - typedef SU<4> SU4; - typedef SU<5> SU5; - For example, Quenched QCD updating may be run as (tests/core/Test_quenched_update.cc):: for(int sweep=0;sweep<1000;sweep++){ @@ -2857,6 +2893,16 @@ For example, Quenched QCD updating may be run as (tests/core/Test_quenched_updat } } +Gauge Group: Sp(2N) +-------- +The specialisation of GaugeGroup to Sp(2N), formally part of qcd/utils/GaugeGroup.h, is found in the file qcd/utils/Sp(2N).impl +It contains methods that are only implemented for Sp(2N), and specialisations of shared methods to the special unitary group + +The most important external methods are:: + + static void Omega(LatticeColourMatrixD &in) // Symplectic matrix left invariant by Sp(2N) + +Generation of Sp(2N) gauge fields is only supported via HMC. 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