DiracMatrix

Description

DiracMatrix[μ] denotes a Dirac gamma matrix with Lorentz index μ. DiracMatrix[μ, ν,  ...] is a product of γ matrices with Lorentz indices μ,  ν,   ...  DiracMatrix[5] is (γ^5). DiracMatrix[6] is 1/2 + (γ^5)/2. DiracMatrix[7] is 1/2 - (γ^5)/2.

See also:  DiracGammaExpand, DiracGamma, DiracSimplify, DiracSlash, DiracTrick, GA, GAD, GS, GSD.

Examples

DiracMatrix[μ]

This is how to enter the non-commutative product of two (γ^μ)(γ^ν). The Mathematica Dot "." is used as non-commutative multiplication operator.

DiracMatrix[μ] . DiracMatrix[ν]

DiracMatrix[α] // StandardForm

DiracMatrix[μ] // FCE

% // StandardForm

GAD[μ]

% // FCI // StandardForm

GA[μ, ν, ρ]

GA[a  .  b] // FCI

% // StandardForm