Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative $U(1)$ gauge theory

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.

arXiv comment35 pages, JHEP Published version

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Cited by in corpus (1)

• Kink solutions in nonlocal scalar field theory models