Left and right handedness of fermions and bosons

TL;DR

This paper demonstrates that using Grassmann space to describe internal degrees of freedom reveals Weyl-like equations for both massless fermions and gauge bosons, with interactions only among same-handed states.

Contribution

It introduces a Grassmann space framework to unify the description of massless fermions and bosons, showing their helicity and handedness properties.

Findings

Weyl-like equations apply to massless gauge bosons.

States have well-defined helicity and handedness.

Same-handed states only interact with each other.

Abstract

It is shown, by using Grassmann space to describe the internal degrees of freedom of fermions and bosons, that the Weyl like equation exists not only for massless fermions but also for massless gauge bosons. The corresponding states have well defined helicity and handedness. It is shown that spinors and gauge bosons of the same handedness only interact.