FeynCalc manual (development version)

ToDiracGamma67

ToDiracGamma67[exp] substitutes $\frac{1}{2} \left(1 + \gamma^5\right)$ and $\frac{1}{2}\left(1-\gamma^5\right)$ by the chirality projectors $\gamma^6$ and $\gamma^7$.

See also

Overview, DiracSubstitute5, DiracGamma, ToDiracGamma67.

Examples

GA[\[Mu]] . (1/2 + GA[5]/2) . GA[\[Nu]] 
 
ToDiracGamma67[%]

$$\bar{\gamma }^{\mu }.\left(\frac{\bar{\gamma }^5}{2}+\frac{1}{2}\right).\bar{\gamma }^{\nu }$$

$$\bar{\gamma }^{\mu }.\bar{\gamma }^6.\bar{\gamma }^{\nu }$$

When the option All is set to True, also standalone $\gamma^5$ will be replaced

GA[\[Mu], 5, \[Nu]] 
 
ToDiracGamma67[%, All -> True]

$$\bar{\gamma }^{\mu }.\bar{\gamma }^5.\bar{\gamma }^{\nu }$$

$$\bar{\gamma }^{\mu }.\left(\bar{\gamma }^6-\bar{\gamma }^7\right).\bar{\gamma }^{\nu }$$