Lagrange Anchor for Bargmann-Wigner equations

TL;DR

This paper constructs a Poincare invariant Lagrange anchor for Bargmann-Wigner equations, enabling the association of symmetries with conservation laws for massless fields of spin greater than 1/2.

Contribution

It introduces a novel Lagrange anchor for non-Lagrangian Bargmann-Wigner equations, facilitating symmetry-conservation law correspondence.

Findings

Established a Poincare invariant Lagrange anchor

Linked symmetries to conservation laws for specific fields

Extended analysis to massless fields of spin s > 1/2

Abstract

A Poincare invariant Lagrange anchor is found for the non-Lagrangian relativistic wave equations of Bargmann and Wigner describing free massless fields of spin s > 1/2 in four-dimensional Minkowski space. By making use of this Lagrange anchor, we assign a symmetry to each conservation law.