FVLRD[p,mu,n,nb]
denotes the perpendicular component in
the lightcone decomposition of the Lorentz vector p^{\mu } along the vectors n
and
nb
in D dimensions. 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, FVLND, FVLPD, SPLPD, SPLND, SPLRD, MTLPD, MTLND, MTLRD.
[p, \[Mu], n, nb] FVLRD
p^{\mu }{}_{\perp }
[p, \[Mu], n, nb] // FCI // StandardForm
FVLRD
(*Pair[LightConePerpendicularComponent[LorentzIndex[\[Mu], D], Momentum[n, D], Momentum[nb, D]], LightConePerpendicularComponent[Momentum[p, D], Momentum[n, D], Momentum[nb, D]]]*)
[p, \[Mu], n, nb] FVLRD[q, \[Mu], n, nb] // Contract FVLRD
p\cdot q_{\perp }
[p, \[Mu], n, nb] . FVLPD[q, \[Mu], n, nb] // Contract FVLRD
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