Hamilton-Jacobi formalism of the massive Yang-Mills theory revisited

TL;DR

This paper applies the Hamilton-Jacobi formalism to analyze the massive Yang-Mills theory, exploring its integrability and calculating the action in both extended and reduced phase-space frameworks.

Contribution

It revisits the massive Yang-Mills theory using Hamilton-Jacobi formalism, providing new insights into its integrability and action calculation methods.

Findings

Identified integrability conditions for the theory.

Calculated the action in extended and reduced phase-space.

Provided a detailed Hamilton-Jacobi analysis of the model.

Abstract

Using Hamilton-Jacobi formalism we investigated the massive Yang-Mills theory on both extended and reduced phase-space. The integrability conditions were discussed and the actions were calculated.