Relativistic Particle with Torsion and Charged Particle in a Constant Electromagnetic Field: Identity of Evolution

TL;DR

This paper demonstrates the equivalence of two different classical models: a relativistic particle with torsion and a charged particle in a constant electromagnetic field, highlighting their shared evolution dynamics.

Contribution

It establishes the identity of classical motion for these two models, linking a higher-derivative torsion particle to a charged particle in a uniform electromagnetic field.

Findings

Classical motions of the two models are shown to be identical.

The model with torsion is connected to a charged particle interacting with a Chern-Simons gauge field.

The results unify different descriptions of relativistic particles under a common framework.

Abstract

The identity of classical motion is established for two physically different models, one of which is the relativistic particle with torsion, whose action contains higher derivatives and which is the effective system for the statistically charged particle interacting with the Chern-Simons U(1) gauge field, and another is the (2+1)-dimensional relativistic charged particle in external constant electromagnetic field.