Zitterbewegung and reduction: 4D spinning particles and 3D anyons on light-like curves

TL;DR

This paper develops a model for 4D spinning particles and 3D anyons moving along light-like trajectories, explaining the role of Zitterbewegung through reduction and reparametrization invariance.

Contribution

It introduces a novel formalism for describing spinning particles and anyons on light-like curves via bosonization and reduction techniques.

Findings

Model describes light-like world-lines for particles and anyons

Zitterbewegung explained through reduction and invariance

Provides a unified framework for 4D and 3D particles

Abstract

We construct the model with light-like world-lines for the massive 4D spinning particles and 3D anyons. It is obtained via the formal bosonization of pseudoclassical model for the massive Dirac particle with subsequent reduction to the light-like curves. The peculiarity of the light-like trajectories produced due to the Zitterbewegung is explained from the viewpoint of reduction and reparametrization invariance.