ToLightConeComponents[expr, n, nb] rewrites all Dirac
matrices, scalar products, 4-vectors and metric tensors in terms of
their component along the lightcone directions n and
nb
Using the option NotMomentum one can specify that
quantities containing the listed 4-momenta should be left untouched.
Overview, ExpandScalarProduct, LightConePerpendicularComponent.
ToLightConeComponents[SP[a, b], n, nb]\frac{1}{2} \left(\overline{a}\cdot \overline{\text{nb}}\right) \left(\overline{b}\cdot \overline{n}\right)+\frac{1}{2} \left(\overline{a}\cdot \overline{n}\right) \left(\overline{b}\cdot \overline{\text{nb}}\right)+\overline{a}\cdot \overline{b}_{\perp }
ToLightConeComponents[FV[p, \[Mu]], n, nb]\frac{1}{2} \overline{\text{nb}}^{\mu } \left(\overline{n}\cdot \overline{p}\right)+\frac{1}{2} \overline{n}^{\mu } \left(\overline{\text{nb}}\cdot \overline{p}\right)+\overline{p}^{\mu }{}_{\perp }
ToLightConeComponents[GA[\[Mu]], n, nb]\bar{\gamma }^{\mu }{}_{\perp }+\frac{1}{2} \overline{n}^{\mu } \bar{\gamma }\cdot \overline{\text{nb}}+\frac{1}{2} \overline{\text{nb}}^{\mu } \bar{\gamma }\cdot \overline{n}
ToLightConeComponents[GS[p], n, nb]\frac{1}{2} \left(\overline{n}\cdot \overline{p}\right) \bar{\gamma }\cdot \overline{\text{nb}}+\frac{1}{2} \bar{\gamma }\cdot \overline{n} \left(\overline{\text{nb}}\cdot \overline{p}\right)+\bar{\gamma }\cdot \overline{p}_{\perp }