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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Format: | Article |
Language: | English |
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SpringerOpen
2024-04-01
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Series: | Journal of High Energy Physics |
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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. |
first_indexed | 2024-04-24T12:43:26Z |
format | Article |
id | doaj.art-39ae78521c974d799b025879de2432d2 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-04-24T12:43:26Z |
publishDate | 2024-04-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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 |