Pseudoclassical description of the massive Dirac particles in odd dimensions

TL;DR

This paper introduces a pseudoclassical model for massive Dirac particles in odd dimensions, which upon quantization aligns with the known quantum theory, and explores a duality with Weyl particles in even dimensions.

Contribution

It proposes a novel pseudoclassical framework for describing massive Dirac particles in odd dimensions and discusses its duality with Weyl particles in even dimensions.

Findings

Quantization reproduces minimal quantum theory of spinning particles.

Establishes a dimensional duality between Dirac and Weyl particle models.

Provides a new classical perspective on fermionic particles in odd dimensions.

Abstract

A pseudoclassical model is proposed to describe massive Dirac (spin one-half) particles in arbitrary odd dimensions. The quantization of the model reproduces the minimal quantum theory of spinning particles in such dimensions. A dimensional duality between the model proposed and the pseudoclassical description of Weyl particles in even dimensions is discussed.