X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fclifford.h;h=af3cb7883568dea7fda15ade6d1abf191fd4ca99;hp=8ac696528873244d1ee6463e933425f256353973;hb=43e0a8f5ca5e1c48cef5daaf014acdbca4e44568;hpb=e58f5808a2d0fe6cb9d60370ede700d97a8bb702 diff --git a/ginac/clifford.h b/ginac/clifford.h index 8ac69652..af3cb788 100644 --- a/ginac/clifford.h +++ b/ginac/clifford.h @@ -55,6 +55,10 @@ protected: unsigned return_type(void) const { return return_types::noncommutative; } unsigned return_type_tinfo(void) const { return TINFO_clifford + representation_label; } + // non-virtual functions in this class +public: + unsigned char get_representation_label(void) const {return representation_label;} + // member variables private: unsigned char representation_label; /**< Representation label to distinguish independent spin lines */ @@ -84,7 +88,8 @@ public: }; -/** This class represents the Dirac gamma5 object. */ +/** This class represents the Dirac gamma5 object which anticommutes with + * all other gammas. */ class diracgamma5 : public tensor { GINAC_DECLARE_REGISTERED_CLASS(diracgamma5, tensor) @@ -121,6 +126,21 @@ ex dirac_gamma(const ex & mu, unsigned char rl = 0); * @return newly constructed object */ ex dirac_gamma5(unsigned char rl = 0); +/** Create a term of the form e_mu * gamma~mu with a unique index mu. + * + * @param dim Dimension of index + * @param rl Representation label */ +ex dirac_slash(const ex & e, const ex & dim, unsigned char rl = 0); + +/** Calculate the trace of an expression containing gamma objects with + * a specified representation label. The computed trace is a linear + * functional that is equal to the usual trace only in D = 4 dimensions. + * In particular, the functional is not always cyclic in D != 4 dimensions + * when gamma5 is involved. + * + * @param rl Representation label */ +ex dirac_trace(const ex & e, unsigned char rl = 0); + } // namespace GiNaC