Non-local Thirring model with backward and umklapp interactions

Autores
Fernández, Victoria Inés; Iucci, Carlos Aníbal; Naón, Carlos María
Año de publicación
2002
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We extend a non-local and non-covariant version of the Thirring model in order to describe a many-body system with backward and umklapp scattering processes. We express the vacuum to vacuum functional in terms of a non-trivial fermionic determinant. Using path-integral methods we find a bosonic representation for this determinant which allows us to obtain an effective action for the collective excitations of the system. By introducing a non-local version of the self-consistent harmonic approximation, we get an expression for the gap of the charge-density excitations as functional of arbitrary electron–electron potentials. As an example we also consider the case of a non-contact umklapp interaction.
Instituto de Física La Plata
Consejo Nacional de Investigaciones Científicas y Técnicas
Materia
Física
Field theory
Non-local
Functional bosonization
Many body
Two-dimensional
Luttinger liquid
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/129635

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network_name_str SEDICI (UNLP)
spelling Non-local Thirring model with backward and umklapp interactionsFernández, Victoria InésIucci, Carlos AníbalNaón, Carlos MaríaFísicaField theoryNon-localFunctional bosonizationMany bodyTwo-dimensionalLuttinger liquidWe extend a non-local and non-covariant version of the Thirring model in order to describe a many-body system with backward and umklapp scattering processes. We express the vacuum to vacuum functional in terms of a non-trivial fermionic determinant. Using path-integral methods we find a bosonic representation for this determinant which allows us to obtain an effective action for the collective excitations of the system. By introducing a non-local version of the self-consistent harmonic approximation, we get an expression for the gap of the charge-density excitations as functional of arbitrary electron–electron potentials. As an example we also consider the case of a non-contact umklapp interaction.Instituto de Física La PlataConsejo Nacional de Investigaciones Científicas y Técnicas2002info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf514-528http://sedici.unlp.edu.ar/handle/10915/129635enginfo:eu-repo/semantics/altIdentifier/issn/0550-3213info:eu-repo/semantics/altIdentifier/arxiv/hep-th/0112057info:eu-repo/semantics/altIdentifier/doi/10.1016/s0550-3213(02)00399-1info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:31:17Zoai:sedici.unlp.edu.ar:10915/129635Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:31:17.765SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Non-local Thirring model with backward and umklapp interactions
title Non-local Thirring model with backward and umklapp interactions
spellingShingle Non-local Thirring model with backward and umklapp interactions
Fernández, Victoria Inés
Física
Field theory
Non-local
Functional bosonization
Many body
Two-dimensional
Luttinger liquid
title_short Non-local Thirring model with backward and umklapp interactions
title_full Non-local Thirring model with backward and umklapp interactions
title_fullStr Non-local Thirring model with backward and umklapp interactions
title_full_unstemmed Non-local Thirring model with backward and umklapp interactions
title_sort Non-local Thirring model with backward and umklapp interactions
dc.creator.none.fl_str_mv Fernández, Victoria Inés
Iucci, Carlos Aníbal
Naón, Carlos María
author Fernández, Victoria Inés
author_facet Fernández, Victoria Inés
Iucci, Carlos Aníbal
Naón, Carlos María
author_role author
author2 Iucci, Carlos Aníbal
Naón, Carlos María
author2_role author
author
dc.subject.none.fl_str_mv Física
Field theory
Non-local
Functional bosonization
Many body
Two-dimensional
Luttinger liquid
topic Física
Field theory
Non-local
Functional bosonization
Many body
Two-dimensional
Luttinger liquid
dc.description.none.fl_txt_mv We extend a non-local and non-covariant version of the Thirring model in order to describe a many-body system with backward and umklapp scattering processes. We express the vacuum to vacuum functional in terms of a non-trivial fermionic determinant. Using path-integral methods we find a bosonic representation for this determinant which allows us to obtain an effective action for the collective excitations of the system. By introducing a non-local version of the self-consistent harmonic approximation, we get an expression for the gap of the charge-density excitations as functional of arbitrary electron–electron potentials. As an example we also consider the case of a non-contact umklapp interaction.
Instituto de Física La Plata
Consejo Nacional de Investigaciones Científicas y Técnicas
description We extend a non-local and non-covariant version of the Thirring model in order to describe a many-body system with backward and umklapp scattering processes. We express the vacuum to vacuum functional in terms of a non-trivial fermionic determinant. Using path-integral methods we find a bosonic representation for this determinant which allows us to obtain an effective action for the collective excitations of the system. By introducing a non-local version of the self-consistent harmonic approximation, we get an expression for the gap of the charge-density excitations as functional of arbitrary electron–electron potentials. As an example we also consider the case of a non-contact umklapp interaction.
publishDate 2002
dc.date.none.fl_str_mv 2002
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/129635
url http://sedici.unlp.edu.ar/handle/10915/129635
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0550-3213
info:eu-repo/semantics/altIdentifier/arxiv/hep-th/0112057
info:eu-repo/semantics/altIdentifier/doi/10.1016/s0550-3213(02)00399-1
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
514-528
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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