Non-local Thirring model with backward and umklapp interactions

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 repr...

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Autores principales: Fernández, Victoria Inés, Iucci, Carlos Aníbal, Naón, Carlos María
Formato: Articulo
Lenguaje:Inglés
Publicado: 2002
Materias:
Física
Field theory
Non-local
Functional bosonization
Many body
Two-dimensional
Luttinger liquid
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129635
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-129635
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Field theory
Non-local
Functional bosonization
Many body
Two-dimensional
Luttinger liquid
spellingShingle Física
Field theory
Non-local
Functional bosonization
Many body
Two-dimensional
Luttinger liquid
Fernández, Victoria Inés
Iucci, Carlos Aníbal
Naón, Carlos María
Non-local Thirring model with backward and umklapp interactions
topic_facet Física
Field theory
Non-local
Functional bosonization
Many body
Two-dimensional
Luttinger liquid
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.
format Articulo
Articulo
author Fernández, Victoria Inés
Iucci, Carlos Aníbal
Naón, Carlos María
author_facet Fernández, Victoria Inés
Iucci, Carlos Aníbal
Naón, Carlos María
author_sort Fernández, Victoria Inés
title Non-local Thirring model with backward and umklapp interactions
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
publishDate 2002
url http://sedici.unlp.edu.ar/handle/10915/129635
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AT iuccicarlosanibal nonlocalthirringmodelwithbackwardandumklappinteractions
AT naoncarlosmaria nonlocalthirringmodelwithbackwardandumklappinteractions
bdutipo_str Repositorios
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