Hamilton-Jacobi theory for gauge field theories
Manuel de Le\'on, Marcin Zaj\k{a}c
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.
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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