Noncommutative field theories and integrable models in 2D
Autor(a) principal: | |
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Data de Publicação: | 2002 |
Outros Autores: | |
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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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:29462024-08-05T14:17:01.938617Repositório 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 |
|
_version_ |
1808128340161200128 |