LeviCivita[mu, nu, rho, si]
is an input function for the totally antisymmetric Levi-Civita tensor. It evaluates automatically to the internal representation Eps[LorentzIndex[mu], LorentzIndex[nu], LorentzIndex[rho], LorentzIndex[si]]
(or with a second argument in LorentzIndex
for the Dimension
, if the option Dimension
of LeviCivita
is changed).
LeviCivita[mu , nu, ...][p, ...]
evaluates to Eps[LorentzIndex[mu], LorentzIndex[nu], ..., Momentum[p], ...]
.
The shortcut LeviCivita
is deprecated, please use LC
instead!
[\[Alpha], \[Beta], \[Gamma], \[Delta]] LeviCivita
[][p, q, r, s] LeviCivita
[\[Alpha], \[Beta]][p, q] LeviCivita
[\[Alpha], \[Beta]][p, q] // StandardForm
LeviCivita
(*Eps[LorentzIndex[\[Alpha]], LorentzIndex[\[Beta]], Momentum[p], Momentum[q]]*)
LeviCivita
is scheduled for removal in the future versions of FeynCalc. The safe alternative is to use LC
.
[\[Alpha], \[Beta], \[Gamma], \[Delta]] LC
[][p, q, r, s] LC
[\[Alpha], \[Beta]][p, q] LC
[\[Alpha], \[Beta], \[Gamma], \[Delta]] LCD
[][p, q, r, s] LCD
[\[Alpha], \[Beta]][p, q] LCD
[LC[\[Alpha], \[Beta], \[Gamma], \[Delta]]] === LeviCivita[\[Alpha], \[Beta], \[Gamma], \[Delta]] FCI
[LCD[\[Alpha], \[Beta], \[Gamma], \[Delta]]] === LeviCivita[\[Alpha], \[Beta], \[Gamma], \[Delta], Dimension -> D] FCI