DiracSigmaExplicit[exp]
inserts in exp for all DiracSigma
its definition. DiracSigmaExplict
is also an option of DiracSimplify
. DiracSigmaExplict
is also an option of various FeynCalc functions that handle the Dirac algebra.
Overview, DiracGamma, DiracSigma.
[GA[\[Alpha]], GA[\[Beta]]]
DiracSigma
[%] DiracSigmaExplicit
\sigma ^{\alpha \beta }
\frac{1}{2} i \left(\bar{\gamma }^{\alpha }.\bar{\gamma }^{\beta }-\bar{\gamma }^{\beta }.\bar{\gamma }^{\alpha }\right)
[p] . DiracSigma[GAD[\[Mu]], GAD[\[Nu]]] . GSD[q]
GSD
[%] DiracSigmaExplicit
(\gamma \cdot p).\sigma ^{\mu \nu }.(\gamma \cdot q)
\frac{1}{2} i \left((\gamma \cdot p).\gamma ^{\mu }.\gamma ^{\nu }.(\gamma \cdot q)-(\gamma \cdot p).\gamma ^{\nu }.\gamma ^{\mu }.(\gamma \cdot q)\right)