GSLND[p,n,nb] denotes the negative component in the
lightcone decomposition of the slashed Dirac matrix (\gamma \cdot p) along the vectors
n and nb in D
dimensions. It corresponds to \frac{1}{2} (n
\cdot p) (\gamma \cdot \bar{n}).
If one omits n and nb, the program will use
default vectors specified via $FCDefaultLightconeVectorN
and $FCDefaultLightconeVectorNB.
Overview, DiracGamma, GALPD, GALND, GALRD, GSLPD, GSLRD.
GSLND[p, n, nb]\frac{1}{2} (n\cdot p) \gamma \cdot \;\text{nb}
StandardForm[GSLND[p, n, nb] // FCI]\frac{1}{2} \;\text{DiracGamma}[\text{Momentum}[\text{nb},D],D] \;\text{Pair}[\text{Momentum}[n,D],\text{Momentum}[p,D]]
Notice that the properties of n and nb
vectors have to be set by hand before doing the actual computation
GSLND[p, n, nb] . GSLND[q, n, nb] // DiracSimplify\frac{1}{4} \;\text{nb}^2 (n\cdot p) (n\cdot q)
FCClearScalarProducts[]
SPD[n] = 0;
SPD[nb] = 0;
SPD[n, nb] = 2;GSLND[p, n, nb] . GSLND[q, n, nb] // DiracSimplify0
FCClearScalarProducts[]