FeynCalc manual (development version)

GAD

GAD[mu] can be used as input for a D-dimensional \gamma ^{\mu } and is transformed into DiracGamma[LorentzIndex[mu,D],D] by FeynCalcInternal (=FCI).

GAD[mu , nu , ...] is a short form for GAD[mu].GAD[nu].

See also

Overview, DiracGamma, GA, GS.

Examples

GAD[\[Mu]]

\gamma ^{\mu }

GAD[\[Mu], \[Nu]] - GAD[\[Nu], \[Mu]]

\gamma ^{\mu }.\gamma ^{\nu }-\gamma ^{\nu }.\gamma ^{\mu }

StandardForm[FCI[GAD[\[Mu]]]]

(*DiracGamma[LorentzIndex[\[Mu], D], D]*)

GAD[\[Mu], \[Nu], \[Rho], \[Sigma]]

\gamma ^{\mu }.\gamma ^{\nu }.\gamma ^{\rho }.\gamma ^{\sigma }

StandardForm[GAD[\[Mu], \[Nu], \[Rho], \[Sigma]]]

(*GAD[\[Mu]] . GAD[\[Nu]] . GAD[\[Rho]] . GAD[\[Sigma]]*)

GAD[\[Alpha]] . (GSD[p] + m) . GAD[\[Beta]]

\gamma ^{\alpha }.(m+\gamma \cdot p).\gamma ^{\beta }