clifford(unsigned char rl, exvector * vp); // vp will be deleted
// functions overriding virtual functions from base classes
+public:
+ void print(const print_context & c, unsigned level = 0) const;
+
protected:
+ bool match_same_type(const basic & other) const;
ex simplify_ncmul(const exvector & v) const;
ex thisexprseq(const exvector & v) const;
ex thisexprseq(exvector * vp) const;
{
GINAC_DECLARE_REGISTERED_CLASS(diracone, tensor)
- // functions overriding virtual functions from bases classes
+ // functions overriding virtual functions from base classes
public:
void print(const print_context & c, unsigned level = 0) const;
};
{
GINAC_DECLARE_REGISTERED_CLASS(diracgamma, tensor)
- // functions overriding virtual functions from bases classes
+ // functions overriding virtual functions from base classes
public:
void print(const print_context & c, unsigned level = 0) const;
bool contract_with(exvector::iterator self, exvector::iterator other, exvector & v) const;
};
-/** 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)
- // functions overriding virtual functions from bases classes
+ // functions overriding virtual functions from base classes
public:
void print(const print_context & c, unsigned level = 0) const;
};
// global functions
-inline const clifford &ex_to_clifford(const ex &e)
+
+/** Specialization of is_exactly_a<clifford>(obj) for clifford objects. */
+template<> inline bool is_exactly_a<clifford>(const basic & obj)
{
- return static_cast<const clifford &>(*e.bp);
+ return obj.tinfo()==TINFO_clifford;
}
-
/** Create a Clifford unity object.
*
* @param rl Representation label
* @return newly constructed object */
ex dirac_gamma5(unsigned char rl = 0);
+/** 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_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 non-cyclic in D != 4 dimensions when
- * gamma5 is involved.
+ * 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);
+ * @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 check two expressions for equality. */
+ex canonicalize_clifford(const ex & e);
} // namespace GiNaC