New Pseudoclassical model for Weyl particles

TL;DR

This paper introduces a novel pseudoclassical model for Weyl particles that allows for multiple quantization methods, reproduces key equations, and fixes gauge freedom at the classical stage.

Contribution

It presents a new pseudoclassical framework for Weyl particles that uniquely supports both Dirac and quasicanonical quantization methods, unlike previous models.

Findings

Reproduces the massless Dirac equation and Weyl condition

Supports both Dirac and quasicanonical quantization

Fixes gauge freedom at the classical level

Abstract

A new pseudoclassical model to describe Weyl particles is proposed. Different ways of its quantization are presented. They all lead to the theory of Weyl particle; namely, the massless Dirac equation and the Weyl condition are reproduced. In contrast with models discussed previously, this one admits both the Dirac quantization and quasicanonical quantization, with the fixation of almost all gauge freedom on the classical level.