On electromagnetic interaction of massive spin-2 particle

TL;DR

This paper develops a gauge-invariant framework for describing free massive particles of arbitrary integer spin and applies it to analyze electromagnetic interactions of a massive spin-2 particle, including both linear and full theories.

Contribution

It introduces a gauge-invariant description for massive high-spin particles, enabling systematic investigation of their consistent electromagnetic interactions.

Findings

Constructed gauge-invariant Lagrangian for massive spin-2 particles.

Analyzed electromagnetic interactions in linear approximation.

Extended the analysis to full theory in homogeneous electromagnetic fields.

Abstract

In this work we construct a gauge invariant description of free massive particle with an arbitrary integer spin. Such description allows one to investigate the problem of consistent interactions for massive high spin particles using the requirement that the whole interaction Lagrangian must be gauge invariant. As a first example of such approach, we consider the case of electromagnetic interaction of massive spin-2 particle: a linear approximation in a case of the arbitrary field and a full theory for the homogeneous electromagnetic field in the space-time of any dimensionality.