LeftRightNablaD[i] denotes \overleftrightarrow {\nabla}_{i}, acting to the left and right.
ExplicitPartialD[LeftRightNablaD[i]] gives 1/2 (RightNablaD[i] - LeftNablaD[i]).
Overview, ExplicitPartialD, ExpandPartialD, FCPartialD, LeftNablaD, LeftRightNablaD2, RightNablaD.
LeftRightNablaD[i]
ExplicitPartialD[%]\overleftrightarrow{\nabla }_i
\frac{1}{2} \overleftarrow{\partial }_i-\vec{\partial }_i
LeftRightNablaD[i] . QuantumField[A, LorentzIndex[\[Nu]]]
ExpandPartialD[%]\overleftrightarrow{\nabla }_i.A_{\nu }
\frac{1}{2} \left(\overleftarrow{\partial }_i.A_{\nu }-\left(\partial _iA_{\nu }\right)\right)
QuantumField[A, LorentzIndex[\[Mu]]] . LeftRightNablaD[i] . QuantumField[A, LorentzIndex[\[Rho]]]
ExpandPartialD[%]
A_{\mu }.\overleftrightarrow{\nabla }_i.A_{\rho }
\frac{1}{2} \left(\left(\partial _iA_{\mu }\right).A_{\rho }-A_{\mu }.\left(\partial _iA_{\rho }\right)\right)