Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative $U(1)$ gauge theory
High Energy Physics - Theory
2024-04-08 v2 Mathematical Physics
math.MP
Abstract
This article focuses on three main contributions. Firstly, we provide an in-depth overview of the nonlocal Lagrangian formalism. Secondly, we introduce an extended version of the second Noether's theorem tailored for nonlocal Lagrangians. Finally, we apply both the formalism and the extended theorem to the context of non-commutative U(1) gauge theory, including its Hamiltonian and quantization, showcasing their practical utility.
Cite
@article{arxiv.2310.03070,
title = {Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative $U(1)$ gauge theory},
author = {Carlos Heredia and Josep Llosa},
journal= {arXiv preprint arXiv:2310.03070},
year = {2024}
}
Comments
35 pages, JHEP Published version