GSLR
GSLR[p,n,nb]
denotes the perpendicular component in the lightcone decomposition of the slashed Dirac matrix (γ⋅p) along the vectors n
and nb
. It corresponds to (γ⋅p)⊥.
If one omits n
and nb
, the program will use default vectors specified via $FCDefaultLightconeVectorN
and $FCDefaultLightconeVectorNB
.
See also
Overview, DiracGamma, GALP, GALN, GALR, GSLP, GSLN.
Examples
γˉ⋅p⊥
StandardForm[GSLR[p, n, nb] // FCI]
(*DiracGamma[LightConePerpendicularComponent[Momentum[p], Momentum[n], Momentum[nb]]]*)
Notice that the properties of n
and nb
vectors have to be set by hand before doing the actual computation
GSLR[p, n, nb] . GSLP[q, n, nb] // DiracSimplify
−41n2(nb⋅q)(γˉ⋅nb).(γˉ⋅p⊥)−41(n⋅nb)(nb⋅q)(γˉ⋅n).(γˉ⋅p⊥)
FCClearScalarProducts[]
SP[n] = 0;
SP[nb] = 0;
SP[n, nb] = 2;
GSLR[p, n, nb] . GSLP[q, n, nb] // DiracSimplify
−21(nb⋅q)(γˉ⋅n).(γˉ⋅p⊥)