FeynCalc manual (development version)

FourVector

FourVector[p, mu] is the 44-dimensional vector p with Lorentz index mu.

A vector with space-time Dimension DD is obtained by supplying the option Dimension -> D.

The shortcut FourVector is deprecated, please use FV instead!

See also

Overview, FV, FCI.

Examples

FourVector[p, \[Mu]]

pμ\overline{p}^{\mu }

FourVector[p - q, \[Mu]]

(pq)μ\left(\overline{p}-\overline{q}\right)^{\mu }

StandardForm[FourVector[p, \[Mu]]]

(*Pair[LorentzIndex[\[Mu]], Momentum[p]]*)
StandardForm[FourVector[p, \[Mu], Dimension -> D]]

(*Pair[LorentzIndex[\[Mu], D], Momentum[p, D]]*)

FourVector is scheduled for removal in the future versions of FeynCalc. The safe alternative is to use FV.

FV[p, \[Mu]]

pμ\overline{p}^{\mu }

FVD[p, \[Mu]]

pμp^{\mu }

FCI[FV[p, \[Mu]]] === FourVector[p, \[Mu]]

True\text{True}

FCI[FVD[p, \[Mu]]] === FourVector[p, \[Mu], Dimension -> D]

True\text{True}