ExpandPartialD

Description

ExpandPartialD[exp] expands all products of QuantumField's and partial differentiation operators in exp and applies Leibniz rule.

See also: ExplicitPartialD, LeftPartialD, LeftRightPartialD, RightPartialD.

Examples

RightPartialD[μ] . QuantumField[A, LorentzIndex[μ]] . 
      QuantumField[A, LorentzIndex[ν]]

ExpandPartialD[%]

% // StandardForm

LeftRightPartialD[μ] . 
      QuantumField[A, LorentzIndex[ν]]

ExpandPartialD[%]

QuantumField[A, 
        LorentzIndex[μ]] . (LeftRightPartialD[OPEDelta]^2) . 
      QuantumField[A, LorentzIndex[ρ]]

ExpandPartialD[%]

8 LeftRightPartialD[OPEDelta]^3

ExplicitPartialD[%]

ExpandPartialD[%]

LeviCivita[μ, ν, ρ, τ] RightPartialD[α, μ, β, ν]

ExpandPartialD[%]