FeynCalc manual (development version)

FVLR

FVLR[p,mu,n,nb] denotes the perpendicular component in the lightcone decomposition of the Lorentz vector p^{\mu } along the vectors n and nb. It corresponds to p^{\mu }_{\perp}.

If one omits n and nb, the program will use default vectors specified via $FCDefaultLightconeVectorN and $FCDefaultLightconeVectorNB.

See also

Overview, Pair, FVLN, FVLP, SPLP, SPLN, SPLR, MTLP, MTLN, MTLR.

Examples

FVLR[p, \[Mu], n, nb]

\overline{p}^{\mu }{}_{\perp }

FVLR[p, \[Mu], n, nb] // FCI // StandardForm

(*Pair[LightConePerpendicularComponent[LorentzIndex[\[Mu]], Momentum[n],Momentum[nb]], LightConePerpendicularComponent[Momentum[p], Momentum[n], Momentum[nb]]]*)
FVLR[p, \[Mu], n, nb] FVLR[q, \[Mu], n, nb] // Contract

\overline{p}\cdot \overline{q}_{\perp }

FVLR[p, \[Mu], n, nb] . FVLP[q, \[Mu], n, nb] // Contract

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