FeynCalc manual (development version)

ToDiracSigma

ToDiracSigma[exp, x, y] substitutes the neighboring Dirac matrices xx and yy by DiracSigma and the metric tensor.

See also

Overview, DiracGamma, DiracSigma, DiracSigmaExplicit.

Examples

GA[\[Mu], \[Nu]] 
 
ToDiracSigma[%, GA[\[Mu]], GA[\[Nu]]]

γˉμ.γˉν\bar{\gamma }^{\mu }.\bar{\gamma }^{\nu }

gˉμνiσμν\bar{g}^{\mu \nu }-i \sigma ^{\mu \nu }

GA[\[Mu], \[Nu], \[Alpha], \[Beta], \[Rho], \[Sigma]] 
 
ToDiracSigma[%, GA[\[Alpha]], GA[\[Beta]]]

γˉμ.γˉν.γˉα.γˉβ.γˉρ.γˉσ\bar{\gamma }^{\mu }.\bar{\gamma }^{\nu }.\bar{\gamma }^{\alpha }.\bar{\gamma }^{\beta }.\bar{\gamma }^{\rho }.\bar{\gamma }^{\sigma }

gˉαβγˉμ.γˉν.γˉρ.γˉσiγˉμ.γˉν.σαβ.γˉρ.γˉσ\bar{g}^{\alpha \beta } \bar{\gamma }^{\mu }.\bar{\gamma }^{\nu }.\bar{\gamma }^{\rho }.\bar{\gamma }^{\sigma }-i \bar{\gamma }^{\mu }.\bar{\gamma }^{\nu }.\sigma ^{\alpha \beta }.\bar{\gamma }^{\rho }.\bar{\gamma }^{\sigma }