FeynCalc manual (development version)

ToDiracSigma

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

See also

Overview, DiracGamma, DiracSigma, DiracSigmaExplicit.

Examples

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

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

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

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

\bar{\gamma }^{\mu }.\bar{\gamma }^{\nu }.\bar{\gamma }^{\alpha }.\bar{\gamma }^{\beta }.\bar{\gamma }^{\rho }.\bar{\gamma }^{\sigma }

\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 }