# Geometry, Zitterbewegung, Quantization

## TL;DR

This paper explores the geometric and quantum aspects of Dirac spinor fields, analyzing their internal dynamics, gauge momentum, and the phenomenon of zitterbewegung, with implications for field quantization.

## Contribution

It provides a detailed analysis of Dirac spinor dynamics in geometric backgrounds, linking zitterbewegung to internal particle motion and discussing potential quantum anomalies.

## Key findings

- Zitterbewegung influences particle motion and internal dynamics.
- Explicit form of gauge momentum and velocity relations derived.
- Insights into how anomalous terms relate to field quantization.

## Abstract

In the most general geometric background, we study Dirac spinor fields with particular emphasis given to the explicit form of their gauge momentum and the way in which this can be inverted so to give the expression of the corresponding velocity; we study how zitterbewegung affects the motion of particles, focusing on the internal dynamics involving the chiral parts; we discuss the connections to field quantization, sketching in what way anomalous terms may be gotten eventually.