Symmetries and currents of massless neutrino fields, electromagnetic and graviton fields

TL;DR

This paper classifies all symmetries and conserved quantities for free massless spin s fields, including neutrinos, electromagnetic, and graviton fields, on Minkowski space, extending previous work with explicit tensorial forms.

Contribution

It provides a comprehensive classification of covariant symmetry operators and conserved tensors for massless spin s fields, including explicit forms for physically relevant cases.

Findings

Complete classification of symmetries and currents for massless spin s fields.

Explicit tensorial forms for electromagnetic and graviton fields.

Dirac 4-spinor form for neutrino fields.

Abstract

A recent complete, explicit classification of all locally constructed symmetries and currents for free spinorial massless spin s fields on Minkowski space is summarized and extended to give a classification of all covariant symmetry operators and conserved tensors. The results, for physically interesting cases, are also presented in tensorial form for electromagnetic and graviton fields (s=1,2) and in Dirac 4-spinor form for neutrino fields (s=1/2).