"Dynamical" non-minimal higher-spin interaction and gyromagnetic ratio g=2

TL;DR

This paper introduces a 'dynamical' approach to higher-spin interactions, resulting in a non-minimal electromagnetic coupling that naturally yields a gyromagnetic ratio of g=2, extending known lower-spin results.

Contribution

It proposes a 'dynamical' representation framework for higher-spin fields, deriving a non-minimal coupling that ensures g=2 without ad hoc assumptions.

Findings

Higher-spin coupling contains a linear field strength term.

The approach yields g=2 for higher spins.

Extension of minimal coupling principles to higher spins.

Abstract

The field-dependent invariant representation (the "dynamical" representation) of the Poincar\'e algebra is considered as a dynamical principle in order to get the corresponding "dynamical" electromagnetic coupling for higher spins ($s\geq 1$). If in lower-spin ($s=0,1/2$) cases the "dynamical" coupling is taken to coincide with the minimal electromagnetic coupling the higher-spin coupling is inevitably non-minimal, containing a term linear in the field strength tensor $F_{\mu\nu}$. This term leads to $g=2$.