A non covariant fermionic determinant and its connection to Luttinger systems

Autores
Iucci, Carlos Aníbal; Naón, Carlos María
Año de publicación
2005
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider a fermionic determinant associated to a non covariant Quantum Field Theory used to describe a non relativistic system in (1+1) dimensions. By exploiting the freedom that arises when Lorentz invariance is not mandatory, we determine the heat-kernel regulating operator so as to reproduce the correct dispersion relations of the bosonic excitations. We also derive the Hamiltonian of the functionally bosonized model and the corresponding currents. In this way we were able to establish the precise heat-kernel regularization that yields complete agreement between the path-integral and operational approaches to the bosonization of the Tomonaga-Luttinger model.
Facultad de Ciencias Exactas
Instituto de Física La Plata
Materia
Ciencias Exactas
Física
Lagrangian and Hamiltonian approach
Fermions in reduced dimensions
Fermion systems and electron gas
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/132121
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/132121
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling A non covariant fermionic determinant and its connection to Luttinger systemsIucci, Carlos AníbalNaón, Carlos MaríaCiencias ExactasFísicaLagrangian and Hamiltonian approachFermions in reduced dimensionsFermion systems and electron gasWe consider a fermionic determinant associated to a non covariant Quantum Field Theory used to describe a non relativistic system in (1+1) dimensions. By exploiting the freedom that arises when Lorentz invariance is not mandatory, we determine the heat-kernel regulating operator so as to reproduce the correct dispersion relations of the bosonic excitations. We also derive the Hamiltonian of the functionally bosonized model and the corresponding currents. In this way we were able to establish the precise heat-kernel regularization that yields complete agreement between the path-integral and operational approaches to the bosonization of the Tomonaga-Luttinger model.Facultad de Ciencias ExactasInstituto de Física La Plata2005info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf749-758http://sedici.unlp.edu.ar/handle/10915/132121enginfo:eu-repo/semantics/altIdentifier/issn/0305-4470info:eu-repo/semantics/altIdentifier/issn/1361-6447info:eu-repo/semantics/altIdentifier/arxiv/hep-th/0311128info:eu-repo/semantics/altIdentifier/doi/10.1088/0305-4470/38/3/011info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T11:03:23Zoai:sedici.unlp.edu.ar:10915/132121Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 11:03:23.365SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv A non covariant fermionic determinant and its connection to Luttinger systems
title A non covariant fermionic determinant and its connection to Luttinger systems
spellingShingle A non covariant fermionic determinant and its connection to Luttinger systems
Iucci, Carlos Aníbal
Ciencias Exactas
Física
Lagrangian and Hamiltonian approach
Fermions in reduced dimensions
Fermion systems and electron gas
title_short A non covariant fermionic determinant and its connection to Luttinger systems
title_full A non covariant fermionic determinant and its connection to Luttinger systems
title_fullStr A non covariant fermionic determinant and its connection to Luttinger systems
title_full_unstemmed A non covariant fermionic determinant and its connection to Luttinger systems
title_sort A non covariant fermionic determinant and its connection to Luttinger systems
dc.creator.none.fl_str_mv Iucci, Carlos Aníbal
Naón, Carlos María
author Iucci, Carlos Aníbal
author_facet Iucci, Carlos Aníbal
Naón, Carlos María
author_role author
author2 Naón, Carlos María
author2_role author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
Lagrangian and Hamiltonian approach
Fermions in reduced dimensions
Fermion systems and electron gas
topic Ciencias Exactas
Física
Lagrangian and Hamiltonian approach
Fermions in reduced dimensions
Fermion systems and electron gas
dc.description.none.fl_txt_mv We consider a fermionic determinant associated to a non covariant Quantum Field Theory used to describe a non relativistic system in (1+1) dimensions. By exploiting the freedom that arises when Lorentz invariance is not mandatory, we determine the heat-kernel regulating operator so as to reproduce the correct dispersion relations of the bosonic excitations. We also derive the Hamiltonian of the functionally bosonized model and the corresponding currents. In this way we were able to establish the precise heat-kernel regularization that yields complete agreement between the path-integral and operational approaches to the bosonization of the Tomonaga-Luttinger model.
Facultad de Ciencias Exactas
Instituto de Física La Plata
description We consider a fermionic determinant associated to a non covariant Quantum Field Theory used to describe a non relativistic system in (1+1) dimensions. By exploiting the freedom that arises when Lorentz invariance is not mandatory, we determine the heat-kernel regulating operator so as to reproduce the correct dispersion relations of the bosonic excitations. We also derive the Hamiltonian of the functionally bosonized model and the corresponding currents. In this way we were able to establish the precise heat-kernel regularization that yields complete agreement between the path-integral and operational approaches to the bosonization of the Tomonaga-Luttinger model.
publishDate 2005
dc.date.none.fl_str_mv 2005
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/10915/132121
url http://sedici.unlp.edu.ar/handle/10915/132121
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0305-4470
info:eu-repo/semantics/altIdentifier/issn/1361-6447
info:eu-repo/semantics/altIdentifier/arxiv/hep-th/0311128
info:eu-repo/semantics/altIdentifier/doi/10.1088/0305-4470/38/3/011
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
749-758
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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score 13.13397

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