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
.
Overview, Pair, FVLN, FVLP, SPLP, SPLN, SPLR, MTLP, MTLN, MTLR.
[p, \[Mu], n, nb] FVLR
\overline{p}^{\mu }{}_{\perp }
[p, \[Mu], n, nb] // FCI // StandardForm
FVLR
(*Pair[LightConePerpendicularComponent[LorentzIndex[\[Mu]], Momentum[n],Momentum[nb]], LightConePerpendicularComponent[Momentum[p], Momentum[n], Momentum[nb]]]*)
[p, \[Mu], n, nb] FVLR[q, \[Mu], n, nb] // Contract FVLR
\overline{p}\cdot \overline{q}_{\perp }
[p, \[Mu], n, nb] . FVLP[q, \[Mu], n, nb] // Contract FVLR
0