- simplify_indexed() renames dummy indices so, e.g., "a.i*a.i+a.j*a.j" gets

[ginac.git] / ginac / clifford.h

diff --git a/ginac/clifford.h b/ginac/clifford.h
index f1783396995620d63c1a38f24315675f97476742..487c12d7f7d1e539d8252ea6a7ffcc98093bfeea 100644 (file)
--- a/ginac/clifford.h
+++ b/ginac/clifford.h
@@ -88,7 +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)
@@ -125,15 +126,33 @@ ex dirac_gamma(const ex & mu, unsigned char rl = 0);
  *  @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 checking two expressions for equality. */
+ex canonicalize_clifford(const ex & e);
 
 } // namespace GiNaC