Crochets de Poisson, theories de jauge et quantification

TL;DR

This paper explores the quantization of constrained mechanical systems, highlighting the significance of Poisson brackets in understanding gauge theories and their quantification.

Contribution

It provides a detailed analysis of how Poisson brackets are essential in the quantization process of gauge theories within constrained systems.

Findings

Poisson brackets are crucial in gauge theory quantization

The study clarifies the role of gauge constraints in mechanical systems

Insights into the mathematical structure of gauge theories

Abstract

We present a study of constrained mechanical systems and of their quantisation, emphasising the importance of the role played by Poisson brackets in the study of gauge theories.