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 extende...

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Main Authors: Carlos Heredia, Josep Llosa
Format: Article
Language:English
Published: SpringerOpen 2024-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP04(2024)021
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author Carlos Heredia
Josep Llosa
author_facet Carlos Heredia
Josep Llosa
author_sort Carlos Heredia
collection DOAJ
description 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.
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spelling doaj.art-39ae78521c974d799b025879de2432d22024-04-07T11:06:34ZengSpringerOpenJournal of High Energy Physics1029-84792024-04-012024413510.1007/JHEP04(2024)021Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative U(1) gauge theoryCarlos Heredia0Josep Llosa1Facultat de Física (FQA and ICC), Diagonal 645, Universitat de BarcelonaFacultat de Física (FQA and ICC), Diagonal 645, Universitat de BarcelonaAbstract 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.https://doi.org/10.1007/JHEP04(2024)021Gauge SymmetryNon-Commutative Geometry
spellingShingle Carlos Heredia
Josep Llosa
Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative U(1) gauge theory
Journal of High Energy Physics
Gauge Symmetry
Non-Commutative Geometry
title Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative U(1) gauge theory
title_full Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative U(1) gauge theory
title_fullStr Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative U(1) gauge theory
title_full_unstemmed Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative U(1) gauge theory
title_short Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative U(1) gauge theory
title_sort nonlocal lagrangian fields and the second noether theorem non commutative u 1 gauge theory
topic Gauge Symmetry
Non-Commutative Geometry
url https://doi.org/10.1007/JHEP04(2024)021
work_keys_str_mv AT carlosheredia nonlocallagrangianfieldsandthesecondnoethertheoremnoncommutativeu1gaugetheory
AT josepllosa nonlocallagrangianfieldsandthesecondnoethertheoremnoncommutativeu1gaugetheory