};
-/** 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)
* @return newly constructed object */
ex dirac_gamma5(unsigned char rl = 0);
-/** Calculate the trace of an expression containing gamma objects with
- * a specified representation label.
+/** This returns (dirac_ONE(rl) + dirac_gamma5(rl)). */
+ex dirac_gamma6(unsigned char rl = 0);
+
+/** This returns (dirac_ONE(rl) - dirac_gamma5(rl)). */
+ex dirac_gamma7(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_trace(const ex & e, unsigned char rl = 0);
+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 e Expression to take the trace of
+ * @param rl Representation label
+ * @param trONE Expression to be returned as the trace of the unit matrix */
+ex dirac_trace(const ex & e, unsigned char rl = 0, const ex & trONE = 4);
+/** Bring all products of clifford objects in an expression into a canonical
+ * order. This is not necessarily the most simple form but it will allow
+ * to checking two expressions for equality. */
+ex canonicalize_clifford(const ex & e);
} // namespace GiNaC