Noncommutative field theories and integrable models in 2D

Detalhes bibliográficos
Autor(a) principal: Moriconi, Marco
Data de Publicação: 2002
Outros Autores: Cabrera-Carnero, I. [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.22323/1.008.0028
http://hdl.handle.net/11449/228623
Resumo: We study the noncommutative extensions of certain integrable field theories, namely the sine- and sinh-Gordon (sG and shG) models, and the U(N) principal chiral model (pcm). We argue that the Moyal deformations of the sG and shG models are not integrable, by looking at tree-level amplitudes where there is particle production. By considering the noncommutative generalization of the zero-curvature method, it is possible to define integrable versions of the noncommutative sG and shG models, which introduce extra constraints. The noncommutative pcm is shown to be integrable and we discuss the existence of non-trivial non-local conserved charges, and the associated noncommutative zero-curvature condition.
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spelling Noncommutative field theories and integrable models in 2DWe study the noncommutative extensions of certain integrable field theories, namely the sine- and sinh-Gordon (sG and shG) models, and the U(N) principal chiral model (pcm). We argue that the Moyal deformations of the sG and shG models are not integrable, by looking at tree-level amplitudes where there is particle production. By considering the noncommutative generalization of the zero-curvature method, it is possible to define integrable versions of the noncommutative sG and shG models, which introduce extra constraints. The noncommutative pcm is shown to be integrable and we discuss the existence of non-trivial non-local conserved charges, and the associated noncommutative zero-curvature condition.Newman Laboratory of Nuclear Studies Cornell UniversityInstituto de Física Universidade Federal do Rio de JaneiroIFT Unesp, Rua Pamplona, 145IFT Unesp, Rua Pamplona, 145Cornell UniversityUniversidade Federal do Rio de Janeiro (UFRJ)Universidade Estadual Paulista (UNESP)Moriconi, MarcoCabrera-Carnero, I. [UNESP]2022-04-29T08:27:49Z2022-04-29T08:27:49Z2002-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://dx.doi.org/10.22323/1.008.0028Proceedings of Science, v. 8.1824-8039http://hdl.handle.net/11449/22862310.22323/1.008.00282-s2.0-85057591941Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of Scienceinfo:eu-repo/semantics/openAccess2022-04-29T08:27:49Zoai:repositorio.unesp.br:11449/228623Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-29T08:27:49Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Noncommutative field theories and integrable models in 2D
title Noncommutative field theories and integrable models in 2D
spellingShingle Noncommutative field theories and integrable models in 2D
Moriconi, Marco
title_short Noncommutative field theories and integrable models in 2D
title_full Noncommutative field theories and integrable models in 2D
title_fullStr Noncommutative field theories and integrable models in 2D
title_full_unstemmed Noncommutative field theories and integrable models in 2D
title_sort Noncommutative field theories and integrable models in 2D
author Moriconi, Marco
author_facet Moriconi, Marco
Cabrera-Carnero, I. [UNESP]
author_role author
author2 Cabrera-Carnero, I. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Cornell University
Universidade Federal do Rio de Janeiro (UFRJ)
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Moriconi, Marco
Cabrera-Carnero, I. [UNESP]
description We study the noncommutative extensions of certain integrable field theories, namely the sine- and sinh-Gordon (sG and shG) models, and the U(N) principal chiral model (pcm). We argue that the Moyal deformations of the sG and shG models are not integrable, by looking at tree-level amplitudes where there is particle production. By considering the noncommutative generalization of the zero-curvature method, it is possible to define integrable versions of the noncommutative sG and shG models, which introduce extra constraints. The noncommutative pcm is shown to be integrable and we discuss the existence of non-trivial non-local conserved charges, and the associated noncommutative zero-curvature condition.
publishDate 2002
dc.date.none.fl_str_mv 2002-01-01
2022-04-29T08:27:49Z
2022-04-29T08:27:49Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.22323/1.008.0028
Proceedings of Science, v. 8.
1824-8039
http://hdl.handle.net/11449/228623
10.22323/1.008.0028
2-s2.0-85057591941
url http://dx.doi.org/10.22323/1.008.0028
http://hdl.handle.net/11449/228623
identifier_str_mv Proceedings of Science, v. 8.
1824-8039
10.22323/1.008.0028
2-s2.0-85057591941
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings of Science
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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