Study of the Homogeneous Bethe-Salpeter Equation in the 2+1 Minkowski Space
Autor(a) principal: | |
---|---|
Data de Publicação: | 2017 |
Outros Autores: | , , , , , , , , , , , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1142/S2010194517600552 http://hdl.handle.net/11449/163251 |
Resumo: | The problem of a relativistic bound-state system consisting of two scalar bosons interacting through the exchange of another scalar boson, in 2+1 space-time dimensions, has been studied. The Bethe-Salpeter equation (BSE) was solved by adopting the Nakanishi integral representation (NIR) and the Light-Front projection. The NIR allows us to solve the BSE in Minkowski space, which is a big and important challenge, since most of non-perturbative calculations are done in Euclidean space, e.g. Lattice and Schwinger-Dyson calculations. We have in this work adopted an interaction kernel containing the ladder and cross-ladder exchanges. In order to check that the NIR is also a good representation in 2+1, the coupling constants and Wick-rotated amplitudes have been computed and compared with calculations performed in Euclidean space. Very good agreement between the calculations performed in the Minkowski and Euclidean spaces has been found. This is an important consistence test that allows Minkowski calculations with the Nakanishi representation in 2+1 dimensions. This relativistic approach will allow us to perform applications in condensed matter problems in a near future. |
id |
UNSP_8e511824087a804cd9d1de5e7bb61816 |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/163251 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
spelling |
Study of the Homogeneous Bethe-Salpeter Equation in the 2+1 Minkowski SpaceBethe-Salpeter Equation2+1 DimensionsNakanishi RepresentationThe problem of a relativistic bound-state system consisting of two scalar bosons interacting through the exchange of another scalar boson, in 2+1 space-time dimensions, has been studied. The Bethe-Salpeter equation (BSE) was solved by adopting the Nakanishi integral representation (NIR) and the Light-Front projection. The NIR allows us to solve the BSE in Minkowski space, which is a big and important challenge, since most of non-perturbative calculations are done in Euclidean space, e.g. Lattice and Schwinger-Dyson calculations. We have in this work adopted an interaction kernel containing the ladder and cross-ladder exchanges. In order to check that the NIR is also a good representation in 2+1, the coupling constants and Wick-rotated amplitudes have been computed and compared with calculations performed in Euclidean space. Very good agreement between the calculations performed in the Minkowski and Euclidean spaces has been found. This is an important consistence test that allows Minkowski calculations with the Nakanishi representation in 2+1 dimensions. This relativistic approach will allow us to perform applications in condensed matter problems in a near future.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Univ Cruzeiro Sul, LFTC, BR-01506000 Sao Paulo, BrazilITA, BR-12228900 Sao Jose Dos Campos, SP, BrazilUniv Estadual Paulista UNESP, Inst Fis Teor, BR-01156970 Sao Paulo, BrazilUniv Estadual Paulista UNESP, Inst Fis Teor, BR-01156970 Sao Paulo, BrazilFAPESP: 2014/19094-8World Scientific Publ Co Pte LtdUniv Cruzeiro SulITAUniversidade Estadual Paulista (Unesp)Gigante, VitorAlvarenga Nogueira, Jorge H.Ydrefors, EmanuelGutierrez, Cristian [UNESP]DosSantos, A. L.Vasconcellos, CAZDaSilva, D. T.Hadjimichef, D.Weber, F.Machado, MVTDaSilva, MLLXu, R.Greiner, W.2018-11-26T17:40:41Z2018-11-26T17:40:41Z2017-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject5http://dx.doi.org/10.1142/S2010194517600552Proceedings Of The 7th International Workshop On Astronomy And Relativistic Astrophysics (iwara 2016). Singapore: World Scientific Publ Co Pte Ltd, v. 45, 5 p., 2017.2010-1945http://hdl.handle.net/11449/16325110.1142/S2010194517600552WOS:000410658500055Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings Of The 7th International Workshop On Astronomy And Relativistic Astrophysics (iwara 2016)info:eu-repo/semantics/openAccess2021-10-23T21:44:27Zoai:repositorio.unesp.br:11449/163251Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:33:05.656576Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Study of the Homogeneous Bethe-Salpeter Equation in the 2+1 Minkowski Space |
title |
Study of the Homogeneous Bethe-Salpeter Equation in the 2+1 Minkowski Space |
spellingShingle |
Study of the Homogeneous Bethe-Salpeter Equation in the 2+1 Minkowski Space Gigante, Vitor Bethe-Salpeter Equation 2+1 Dimensions Nakanishi Representation |
title_short |
Study of the Homogeneous Bethe-Salpeter Equation in the 2+1 Minkowski Space |
title_full |
Study of the Homogeneous Bethe-Salpeter Equation in the 2+1 Minkowski Space |
title_fullStr |
Study of the Homogeneous Bethe-Salpeter Equation in the 2+1 Minkowski Space |
title_full_unstemmed |
Study of the Homogeneous Bethe-Salpeter Equation in the 2+1 Minkowski Space |
title_sort |
Study of the Homogeneous Bethe-Salpeter Equation in the 2+1 Minkowski Space |
author |
Gigante, Vitor |
author_facet |
Gigante, Vitor Alvarenga Nogueira, Jorge H. Ydrefors, Emanuel Gutierrez, Cristian [UNESP] DosSantos, A. L. Vasconcellos, CAZ DaSilva, D. T. Hadjimichef, D. Weber, F. Machado, MVT DaSilva, MLL Xu, R. Greiner, W. |
author_role |
author |
author2 |
Alvarenga Nogueira, Jorge H. Ydrefors, Emanuel Gutierrez, Cristian [UNESP] DosSantos, A. L. Vasconcellos, CAZ DaSilva, D. T. Hadjimichef, D. Weber, F. Machado, MVT DaSilva, MLL Xu, R. Greiner, W. |
author2_role |
author author author author author author author author author author author author |
dc.contributor.none.fl_str_mv |
Univ Cruzeiro Sul ITA Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Gigante, Vitor Alvarenga Nogueira, Jorge H. Ydrefors, Emanuel Gutierrez, Cristian [UNESP] DosSantos, A. L. Vasconcellos, CAZ DaSilva, D. T. Hadjimichef, D. Weber, F. Machado, MVT DaSilva, MLL Xu, R. Greiner, W. |
dc.subject.por.fl_str_mv |
Bethe-Salpeter Equation 2+1 Dimensions Nakanishi Representation |
topic |
Bethe-Salpeter Equation 2+1 Dimensions Nakanishi Representation |
description |
The problem of a relativistic bound-state system consisting of two scalar bosons interacting through the exchange of another scalar boson, in 2+1 space-time dimensions, has been studied. The Bethe-Salpeter equation (BSE) was solved by adopting the Nakanishi integral representation (NIR) and the Light-Front projection. The NIR allows us to solve the BSE in Minkowski space, which is a big and important challenge, since most of non-perturbative calculations are done in Euclidean space, e.g. Lattice and Schwinger-Dyson calculations. We have in this work adopted an interaction kernel containing the ladder and cross-ladder exchanges. In order to check that the NIR is also a good representation in 2+1, the coupling constants and Wick-rotated amplitudes have been computed and compared with calculations performed in Euclidean space. Very good agreement between the calculations performed in the Minkowski and Euclidean spaces has been found. This is an important consistence test that allows Minkowski calculations with the Nakanishi representation in 2+1 dimensions. This relativistic approach will allow us to perform applications in condensed matter problems in a near future. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-01-01 2018-11-26T17:40:41Z 2018-11-26T17:40:41Z |
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/10.1142/S2010194517600552 Proceedings Of The 7th International Workshop On Astronomy And Relativistic Astrophysics (iwara 2016). Singapore: World Scientific Publ Co Pte Ltd, v. 45, 5 p., 2017. 2010-1945 http://hdl.handle.net/11449/163251 10.1142/S2010194517600552 WOS:000410658500055 |
url |
http://dx.doi.org/10.1142/S2010194517600552 http://hdl.handle.net/11449/163251 |
identifier_str_mv |
Proceedings Of The 7th International Workshop On Astronomy And Relativistic Astrophysics (iwara 2016). Singapore: World Scientific Publ Co Pte Ltd, v. 45, 5 p., 2017. 2010-1945 10.1142/S2010194517600552 WOS:000410658500055 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Proceedings Of The 7th International Workshop On Astronomy And Relativistic Astrophysics (iwara 2016) |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
5 |
dc.publisher.none.fl_str_mv |
World Scientific Publ Co Pte Ltd |
publisher.none.fl_str_mv |
World Scientific Publ Co Pte Ltd |
dc.source.none.fl_str_mv |
Web of Science 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_ |
1808129084310421504 |