LeftRightPartialD
LeftRightPartialD[mu]
denotes ∂μ, acting to the left and right.
ExplicitPartialD[LeftRightPartialD[mu]]
gives 1/2 (RightPartialD[mu] - LeftPartialD[mu])
.
See also
Overview, ExplicitPartialD, ExpandPartialD, FCPartialD, LeftPartialD, LeftRightPartialD2, RightPartialD.
Examples
LeftRightPartialD[\[Mu]]
ExplicitPartialD[%]
∂μ
21(∂μ−∂μ)
LeftRightPartialD[\[Mu]] . QuantumField[A, LorentzIndex[\[Nu]]]
ExpandPartialD[%]
∂μ.Aν
21((∂μAν)−∂μ.Aν)
QuantumField[A, LorentzIndex[\[Mu]]] . LeftRightPartialD[\[Nu]] . QuantumField[A, LorentzIndex[\[Rho]]]
ExpandPartialD[%]
Aμ.∂ν.Aρ
21(Aμ.((∂νAρ))−((∂νAμ)).Aρ)