"Dynamical" interactions and gauge invariance

TL;DR

This paper develops a gauge-invariant framework for the dynamical Poincare algebra and equations of motion for particles with arbitrary spin, highlighting the equal importance of gauge and relativistic invariance.

Contribution

It introduces a new dynamical approach to gauge invariance in the Poincare algebra and constructs a non-minimal interaction explicitly for particles with arbitrary spin.

Findings

Dynamical Poincare algebra is gauge invariant.

Equations of motion for arbitrary spin are gauge invariant.

Explicit construction of a dynamical non-minimal interaction.

Abstract

Appreciating the classical understanding of the elementary particle the "dynamical" Poincare algebra is developed. It is shown that the "dynamical" Poincare algebra and the equations of motion of particles with arbitrary spin are gauge invariant and that gauge invariance and relativistic invariance stand on equal footings. A "dynamical" non-minimal interaction is constructed explicitly and the Rarita-Schwinger equation is considered in the framework of this "dynamical" interaction.