Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism

This article aims to study nonlocal Lagrangians with an infinite number of degrees of freedom. We obtain an extension of Noether's theorem and Noether's identities for such Lagrangians. We then set up a Hamiltonian formalism for them. In addition, we show that n-order local Lagrangians can...

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Detalles Bibliográficos
Autores: Heredia, Carlos, Llosa, Josep
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/192692
Acceso en línea:https://hdl.handle.net/2445/192692
Access Level:acceso abierto
Palabra clave:Sistemes hamiltonians
Teoria quàntica de camps
Hamiltonian systems
Quantum field theory
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spelling Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalismHeredia, CarlosLlosa, JosepSistemes hamiltoniansTeoria quàntica de campsHamiltonian systemsQuantum field theoryThis article aims to study nonlocal Lagrangians with an infinite number of degrees of freedom. We obtain an extension of Noether's theorem and Noether's identities for such Lagrangians. We then set up a Hamiltonian formalism for them. In addition, we show that n-order local Lagrangians can be treated as a particular case, and the standard results can be recovered. Finally, this formalism is applied to the case of p-adic open string field.American Physical Society2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/192692Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.1103/PhysRevD.105.126002Physical Review D, 2022, vol. 105, num. 12, p. 126002https://doi.org/10.1103/PhysRevD.105.126002(c) American Physical Society, 2022info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1926922026-05-27T06:46:51Z
dc.title.none.fl_str_mv Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism
title Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism
spellingShingle Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism
Heredia, Carlos
Sistemes hamiltonians
Teoria quàntica de camps
Hamiltonian systems
Quantum field theory
title_short Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism
title_full Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism
title_fullStr Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism
title_full_unstemmed Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism
title_sort Nonlocal Lagrangian fields: Noether's theorem and Hamiltonian formalism
dc.creator.none.fl_str_mv Heredia, Carlos
Llosa, Josep
author Heredia, Carlos
author_facet Heredia, Carlos
Llosa, Josep
author_role author
author2 Llosa, Josep
author2_role author
dc.subject.none.fl_str_mv Sistemes hamiltonians
Teoria quàntica de camps
Hamiltonian systems
Quantum field theory
topic Sistemes hamiltonians
Teoria quàntica de camps
Hamiltonian systems
Quantum field theory
description This article aims to study nonlocal Lagrangians with an infinite number of degrees of freedom. We obtain an extension of Noether's theorem and Noether's identities for such Lagrangians. We then set up a Hamiltonian formalism for them. In addition, we show that n-order local Lagrangians can be treated as a particular case, and the standard results can be recovered. Finally, this formalism is applied to the case of p-adic open string field.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/192692
url https://hdl.handle.net/2445/192692
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.1103/PhysRevD.105.126002
Physical Review D, 2022, vol. 105, num. 12, p. 126002
https://doi.org/10.1103/PhysRevD.105.126002
dc.rights.none.fl_str_mv (c) American Physical Society, 2022
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Physical Society, 2022
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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