Constrained Dynamics of an Anomalous $(g/neq 2)$ Relativistic Spinning Particle in Electromagnetic Background

TL;DR

This paper investigates the constrained dynamics of a relativistic spinning particle with anomalous magnetic moment in an electromagnetic field, deriving Dirac brackets and exploring connections to analogue gravity models.

Contribution

It provides a detailed constraint analysis and Dirac brackets for an anomalous g≠2 relativistic spinning particle, linking spin effects to spacetime curvature and analogue gravity.

Findings

Dirac brackets generate Lorentz algebra and dynamics.

Spin induces effective spacetime curvature.

Discussion on connection to analogue gravity models.

Abstract

In this paper we have considered the dynamics of an anomalous ($g\neq 2$) charged relativistic spinning particle in the presence of an external electromagnetic field. The constraint analysis is done and the complete set of Dirac brackets are provided that generate the canonical Lorentz algebra and dynamics through Hamiltonian equations of motion. The spin-induced effective curvature of spacetime and its possible connection with Analogue Gravity models are commented upon.