On massless dyadic forms and no minimal coupling theorem

TL;DR

This paper employs the spinor helicity formalism to derive dyadic forms for massless fields, introduces an iterative approach for higher spins, and proves a gauge symmetry violation theorem in higher spin theories with minimal coupling.

Contribution

It presents a novel method for deriving dyadic forms for massless fields and establishes a new theorem on gauge symmetry violation in higher spin theories.

Findings

Dyadic forms for massless fields derived using spinor helicity formalism

Iterated approach simplifies calculations in higher spin theories

Proved gauge symmetry violation in minimal coupling for higher spins

Abstract

We use the spinor helicity formalism in order to derive the dyadic forms for massless fields of various spins. We also give an iterated form of this approach in case higher spin theories are under study. This reduces calculations at hard and soft scattering problems in gauge theories drastically. Finally, we state and prove a theorem of gauge symmetry violation in the presence of minimal coupling with light in higher spin theories ($j>1/2$).