Anti5
Anti5[exp]
anticommutes all γ5 in exp to the right. Anti5[exp, n]
anticommutes all γ5 n-times to the right. Anti5[exp, -n]
anticommutes all γ5 n-times to the left.
See also
Overview, DiracOrder, DiracSimplify, DiracTrick.
Examples
GA[5, \[Mu]]
Anti5[%]
Anti5[%, -1]
γˉ5.γˉμ
−γˉμ.γˉ5
γˉ5.γˉμ
GA[5, \[Alpha], \[Beta], \[Gamma], \[Delta]]
Anti5[%, 2]
Anti5[%%, Infinity]
Anti5[%, -Infinity]
γˉ5.γˉα.γˉβ.γˉγ.γˉδ
γˉα.γˉβ.γˉ5.γˉγ.γˉδ
γˉα.γˉβ.γˉγ.γˉδ.γˉ5
γˉ5.γˉα.γˉβ.γˉγ.γˉδ
In the naive γ5-scheme D-dimensional γ-matrices anticommute with γ5.
GA5 . GAD[\[Mu]]
Anti5[%]
γˉ5.γμ
−γμ.γˉ5
Anti5
also works in the t’Hooft-Veltman-Breitenlohner-Maison scheme
FCSetDiracGammaScheme["BMHV"];
Anti5[GA5 . GAD[\[Mu]]]
2γ^μ.γˉ5−γμ.γˉ5
FCSetDiracGammaScheme["NDR"];