# Hamilton-Jacobi theory for gauge field theories

## TL;DR

This paper extends the Hamilton-Jacobi theory to gauge field theories within a multisymplectic geometric framework, providing a new perspective on the geometric structure of these theories.

## Contribution

It develops a Hamilton-Jacobi formulation specifically for gauge field theories, building on recent multisymplectic geometric approaches.

## Key findings

- Hamilton-Jacobi theory is formulated for gauge fields.
- The geometric structure of gauge theories is elucidated.
- The approach generalizes previous multisymplectic formulations.

## Abstract

Recently, M. de Le\'on el al. ([8]) have developed a geometrical description of Hamilton-Jacobi theory for multisymplectic field theory. In our paper we analyse in the same spirit a special kind of field theories which are gauge field theories. The Hamilton-Jacobi theory for this kind of fields is shown.

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Source: https://tomesphere.com/paper/1904.10264