Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/jspui/handle/123456789/28971 |
Resumo: | We extend basic properties of two dimensional integrable models within the Algebraic Bethe Ansatz ap- proach to 2+1 dimensions and formulate the sufficient conditions for the commutativity of transfer matrices of different spectral parameters, in analogy with Yang–Baxter or tetrahedron equations. The basic ingredient of our models is the R-matrix, which describes the scattering of a pair of particles over another pair of par- ticles, the quark-anti-quark (meson) scattering on another quark-anti-quark state. We show that the Kitaev model belongs to this class of models and its R-matrix fulfills well-defined equations for integrability. © 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3. |
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Khachatryan, ShFerraz Filho, ÁlvaroKlümper, ASedrakyan, A2020-05-12T20:31:58Z2020-05-12T20:31:58Z2015-08-13KHACHATRYAN, SH.; FERRAZ FILHO, A.; KLÜMPER, A.; SEDRAKYAN, A. Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models. Nuclear Physics. B (Print), v. 899, p. 444-450, 2015. Disponível em: https://www.sciencedirect.com/science/article/pii/S0550321315002928?via%3Dihub. Acesso em: 07 abr. 2020.https://repositorio.ufrn.br/jspui/handle/123456789/2897110.1016/J.NUCLPHYSB.2015.08.007Nuclear Physics. BAttribution 3.0 Brazilhttp://creativecommons.org/licenses/by/3.0/br/info:eu-repo/semantics/openAccessAlgébrica de BetheIntegrability in three dimensions: Algebraic Bethe ansatz for anyonic modelsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleWe extend basic properties of two dimensional integrable models within the Algebraic Bethe Ansatz ap- proach to 2+1 dimensions and formulate the sufficient conditions for the commutativity of transfer matrices of different spectral parameters, in analogy with Yang–Baxter or tetrahedron equations. The basic ingredient of our models is the R-matrix, which describes the scattering of a pair of particles over another pair of par- ticles, the quark-anti-quark (meson) scattering on another quark-anti-quark state. We show that the Kitaev model belongs to this class of models and its R-matrix fulfills well-defined equations for integrability. © 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). 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dc.title.pt_BR.fl_str_mv |
Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models |
title |
Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models |
spellingShingle |
Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models Khachatryan, Sh Algébrica de Bethe |
title_short |
Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models |
title_full |
Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models |
title_fullStr |
Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models |
title_full_unstemmed |
Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models |
title_sort |
Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models |
author |
Khachatryan, Sh |
author_facet |
Khachatryan, Sh Ferraz Filho, Álvaro Klümper, A Sedrakyan, A |
author_role |
author |
author2 |
Ferraz Filho, Álvaro Klümper, A Sedrakyan, A |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Khachatryan, Sh Ferraz Filho, Álvaro Klümper, A Sedrakyan, A |
dc.subject.por.fl_str_mv |
Algébrica de Bethe |
topic |
Algébrica de Bethe |
description |
We extend basic properties of two dimensional integrable models within the Algebraic Bethe Ansatz ap- proach to 2+1 dimensions and formulate the sufficient conditions for the commutativity of transfer matrices of different spectral parameters, in analogy with Yang–Baxter or tetrahedron equations. The basic ingredient of our models is the R-matrix, which describes the scattering of a pair of particles over another pair of par- ticles, the quark-anti-quark (meson) scattering on another quark-anti-quark state. We show that the Kitaev model belongs to this class of models and its R-matrix fulfills well-defined equations for integrability. © 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3. |
publishDate |
2015 |
dc.date.issued.fl_str_mv |
2015-08-13 |
dc.date.accessioned.fl_str_mv |
2020-05-12T20:31:58Z |
dc.date.available.fl_str_mv |
2020-05-12T20:31:58Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
KHACHATRYAN, SH.; FERRAZ FILHO, A.; KLÜMPER, A.; SEDRAKYAN, A. Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models. Nuclear Physics. B (Print), v. 899, p. 444-450, 2015. Disponível em: https://www.sciencedirect.com/science/article/pii/S0550321315002928?via%3Dihub. Acesso em: 07 abr. 2020. |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/jspui/handle/123456789/28971 |
dc.identifier.doi.none.fl_str_mv |
10.1016/J.NUCLPHYSB.2015.08.007 |
identifier_str_mv |
KHACHATRYAN, SH.; FERRAZ FILHO, A.; KLÜMPER, A.; SEDRAKYAN, A. Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models. Nuclear Physics. B (Print), v. 899, p. 444-450, 2015. Disponível em: https://www.sciencedirect.com/science/article/pii/S0550321315002928?via%3Dihub. Acesso em: 07 abr. 2020. 10.1016/J.NUCLPHYSB.2015.08.007 |
url |
https://repositorio.ufrn.br/jspui/handle/123456789/28971 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Nuclear Physics. B |
publisher.none.fl_str_mv |
Nuclear Physics. B |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFRN instname:Universidade Federal do Rio Grande do Norte (UFRN) instacron:UFRN |
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Universidade Federal do Rio Grande do Norte (UFRN) |
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UFRN |
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UFRN |
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Repositório Institucional da UFRN |
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Repositório Institucional da UFRN |
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