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
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- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/129635
Ver los metadatos del registro completo
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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:UNLP2025-10-22T17:12:11Zoai: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:13292025-10-22 17:12:11.881SEDICI (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 |
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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 |
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http://sedici.unlp.edu.ar/handle/10915/129635 |
| dc.language.none.fl_str_mv |
eng |
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eng |
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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 |
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info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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openAccess |
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http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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