Exotic fermionic fields and minimal length
Autor(a) principal: | |
---|---|
Data de Publicação: | 2020 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1140/epjc/s10052-020-8313-z http://hdl.handle.net/11449/199252 |
Resumo: | We investigate the effective Dirac equation, corrected by merging two scenarios that are expected to emerge towards the quantum gravity scale. Namely, the existence of a minimal length, implemented by the generalized uncertainty principle, and exotic spinors, associated with any non-trivial topology equipping the spacetime manifold. We show that the free fermionic dynamical equations, within the context of a minimal length, just allow for trivial solutions, a feature that is not shared by dynamical equations for exotic spinors. In fact, in this coalescing setup, the exoticity is shown to prevent the Dirac operator to be injective, allowing the existence of non-trivial solutions. |
id |
UNSP_4cecfb6029de33339dc82c8a441fde41 |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/199252 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
spelling |
Exotic fermionic fields and minimal lengthWe investigate the effective Dirac equation, corrected by merging two scenarios that are expected to emerge towards the quantum gravity scale. Namely, the existence of a minimal length, implemented by the generalized uncertainty principle, and exotic spinors, associated with any non-trivial topology equipping the spacetime manifold. We show that the free fermionic dynamical equations, within the context of a minimal length, just allow for trivial solutions, a feature that is not shared by dynamical equations for exotic spinors. In fact, in this coalescing setup, the exoticity is shown to prevent the Dirac operator to be injective, allowing the existence of non-trivial solutions.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Departamento de Física Universidade Estadual Paulista UNESP, Av. Dr. Ariberto Pereira da Cunha, 333Instituto Federal de Educação Ciência e Tecnologia do Norte de Minas Gerais IFNMG, Av. Dr. Humberto MallardCMCC Federal University of ABCDepartamento de Física Universidade Estadual Paulista UNESP, Av. Dr. Ariberto Pereira da Cunha, 333FAPESP: 2017/18897-8CNPq: 303293/2015-2CNPq: 303390/2019-0CNPq: 303561/2018-1CNPq: 406134/2018-9Universidade Estadual Paulista (Unesp)IFNMGFederal University of ABCda Silva, J. M. Hoff [UNESP]Beghetto, D. [UNESP]Cavalcanti, R. T. [UNESP]da Rocha, R.2020-12-12T01:34:48Z2020-12-12T01:34:48Z2020-08-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1140/epjc/s10052-020-8313-zEuropean Physical Journal C, v. 80, n. 8, 2020.1434-60521434-6044http://hdl.handle.net/11449/19925210.1140/epjc/s10052-020-8313-z2-s2.0-85089402325Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengEuropean Physical Journal Cinfo:eu-repo/semantics/openAccess2021-10-23T05:43:33Zoai:repositorio.unesp.br:11449/199252Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-05-23T19:47:37.518381Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Exotic fermionic fields and minimal length |
title |
Exotic fermionic fields and minimal length |
spellingShingle |
Exotic fermionic fields and minimal length da Silva, J. M. Hoff [UNESP] |
title_short |
Exotic fermionic fields and minimal length |
title_full |
Exotic fermionic fields and minimal length |
title_fullStr |
Exotic fermionic fields and minimal length |
title_full_unstemmed |
Exotic fermionic fields and minimal length |
title_sort |
Exotic fermionic fields and minimal length |
author |
da Silva, J. M. Hoff [UNESP] |
author_facet |
da Silva, J. M. Hoff [UNESP] Beghetto, D. [UNESP] Cavalcanti, R. T. [UNESP] da Rocha, R. |
author_role |
author |
author2 |
Beghetto, D. [UNESP] Cavalcanti, R. T. [UNESP] da Rocha, R. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) IFNMG Federal University of ABC |
dc.contributor.author.fl_str_mv |
da Silva, J. M. Hoff [UNESP] Beghetto, D. [UNESP] Cavalcanti, R. T. [UNESP] da Rocha, R. |
description |
We investigate the effective Dirac equation, corrected by merging two scenarios that are expected to emerge towards the quantum gravity scale. Namely, the existence of a minimal length, implemented by the generalized uncertainty principle, and exotic spinors, associated with any non-trivial topology equipping the spacetime manifold. We show that the free fermionic dynamical equations, within the context of a minimal length, just allow for trivial solutions, a feature that is not shared by dynamical equations for exotic spinors. In fact, in this coalescing setup, the exoticity is shown to prevent the Dirac operator to be injective, allowing the existence of non-trivial solutions. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-12-12T01:34:48Z 2020-12-12T01:34:48Z 2020-08-01 |
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.uri.fl_str_mv |
http://dx.doi.org/10.1140/epjc/s10052-020-8313-z European Physical Journal C, v. 80, n. 8, 2020. 1434-6052 1434-6044 http://hdl.handle.net/11449/199252 10.1140/epjc/s10052-020-8313-z 2-s2.0-85089402325 |
url |
http://dx.doi.org/10.1140/epjc/s10052-020-8313-z http://hdl.handle.net/11449/199252 |
identifier_str_mv |
European Physical Journal C, v. 80, n. 8, 2020. 1434-6052 1434-6044 10.1140/epjc/s10052-020-8313-z 2-s2.0-85089402325 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
European Physical Journal C |
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_ |
1803045626693287936 |