FeynCalc manual (development version)

ChiralityProjector

ChiralityProjector[+1] denotes $1/2\left(1+\gamma^5\right)$.

ChiralityProjector[-1] denotes $1/2\left(1+\gamma ^5\right)$.

The shortcut ChiralityProjector is deprecated, please use GA[6] and GA[7] instead!

See also

Overview, GA, FCI.

Examples

{ChiralityProjector[+1], ChiralityProjector[-1]}
DiracSimplify[#, DiracSubstitute67 -> True] & /@ %

$$\left\{\bar{\gamma }^6,\bar{\gamma }^7\right\}$$

$$\left\{\frac{\bar{\gamma }^5}{2}+\frac{1}{2},\frac{1}{2}-\frac{\bar{\gamma }^5}{2}\right\}$$

ChiralityProjector is scheduled for removal in the future versions of FeynCalc. The safe alternative is to use GA[6] and GA[7].

{GA[6], GA[7]}

$$\left\{\bar{\gamma }^6,\bar{\gamma }^7\right\}$$

FCI[GA[6]] === ChiralityProjector[+1]

$$\text{True}$$

FCI[GA[7]] === ChiralityProjector[-1]

$$\text{True}$$