Grassmann dynamics of classical spin in nonabelian gauge fields

TL;DR

This paper develops a Grassmann-based classical mechanics framework to describe spinning particles in non-abelian gauge fields, providing a foundation for quantization of such systems.

Contribution

It introduces a novel Grassmann Lagrangian dynamics model for classical spinning particles in non-abelian gauge fields, bridging classical and quantum descriptions.

Findings

Constructed Grassmann Lagrangian for spinning particles in gauge fields

Discussed quantization of the classical model

Provided insights into classical-quantum correspondence for spin systems

Abstract

Using Grassmann variant of classical mechanics, we construct Lagrangian dynamics of classical spinning particle in (possibly non-abelian) gauge fields. Quantization of this model is briefly discussed.