Anyons in Electromagnetic Field and the BMT Equation

TL;DR

This paper extends a Lagrangian model for anyons to include electromagnetic interactions, derives the 2+1-dimensional BMT equation, and confirms the gyromagnetic ratio as 2 within a Hamiltonian framework.

Contribution

It introduces explicit electric and magnetic moment terms into the anyon Lagrangian and rederives the BMT equation with the correct gyromagnetic ratio.

Findings

Extended the anyon Lagrangian to include electromagnetic interactions

Rederived the 2+1-dimensional BMT equation in Hamiltonian form

Confirmed the gyromagnetic ratio as 2

Abstract

The Lagrangian model for anyon, presented in [6], is extended to include interactions with external, homogeneous electromagnetic field. Explicit electric and magnetic moment terms for the anyon are introduced in the Lagrangian. The 2+1-dimensional BMT equation as well as the correct value (2) of the gyromagnetic ratio is rederived, in the Hamiltonian framework.