FeynCalc manual (development version)

CGAE

CGAE[i] can be used as input for γi\gamma ^i in D4D-4 dimensions, where i is a Cartesian index, and is transformed into DiracGamma[CartesianIndex[i,D-4],D-4] by FeynCalcInternal.

See also

Overview, GAE, DiracGamma.

Examples

CGAE[i]

γ^i\hat{\gamma }^i

CGAE[i, j] - CGAE[j, i]

γ^i.γ^jγ^j.γ^i\hat{\gamma }^i.\hat{\gamma }^j-\hat{\gamma }^j.\hat{\gamma }^i

StandardForm[FCI[CGAE[i]]]

(*DiracGamma[CartesianIndex[i, -4 + D], -4 + D]*)
CGAE[i, j, k, l]

γ^i.γ^j.γ^k.γ^l\hat{\gamma }^i.\hat{\gamma }^j.\hat{\gamma }^k.\hat{\gamma }^l

StandardForm[CGAE[i, j, k, l]]

(*CGAE[i] . CGAE[j] . CGAE[k] . CGAE[l]*)