Effective short distance interaction in Calogero-Sutherland quantum fluids

Autores
Bottesi, Federico L.; Zemba, Guillermo R.
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Fil: Bottesi, Federico L. Universidad de Buenos Aires. Facultad de Ingeniería; Argentina
Fil: Zemba, Guillermo R. Pontificia Universidad Católica Argentina. Facultad de Ingeniería y Ciencias Agrarias; Argentina
We consider the effective conformal field theory with symmetry W1+∞ xW 1+∞ that describesthe thermodynamic limit of the Calogero-Sutherland model. In the repulsive regime of the free fermion formulation, we identify an attractive interaction between opposite moving particle-hole pairs that dominates the short distance behavior and that is proposed as responsible for the destabilization of the ground state, leading to a new one of bosonic nature. The process is described by a Bogoliubov transformation of the free fermion bilinear operators into bosonic ones, preserving the form of the W1+∞ algebra but decoupling the opposite chirality terms in the hamiltonian, as expected in the low energy limit. In coordinate space this interaction has a short range component that arises due to the quantum regularization of the theory. The described dynamical process may be considered as a mechanism of the emergence of the known charge and quantum statistics fractionalization of the low lying excitations of the theory, as predicted in both first and second quantization studies.
Fuente
Physics Letters A, Volume 530, 15 January 2025, 130128
Materia
FISICA
DINAMICA CUANTICA
MODELO CALOGERO-SUTHERLAND
TERMODINAMICA
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
Repositorio Institucional (UCA)
Institución
Pontificia Universidad Católica Argentina
OAI Identificador
oai:ucacris:123456789/21936
Acceder
id RIUCA_6cdcd086fa6cb0e41857a70cecd78bf6
oai_identifier_str oai:ucacris:123456789/21936
network_acronym_str RIUCA
repository_id_str 2585
network_name_str Repositorio Institucional (UCA)
spelling Effective short distance interaction in Calogero-Sutherland quantum fluidsBottesi, Federico L.Zemba, Guillermo R.FISICADINAMICA CUANTICAMODELO CALOGERO-SUTHERLANDTERMODINAMICAFil: Bottesi, Federico L. Universidad de Buenos Aires. Facultad de Ingeniería; ArgentinaFil: Zemba, Guillermo R. Pontificia Universidad Católica Argentina. Facultad de Ingeniería y Ciencias Agrarias; ArgentinaWe consider the effective conformal field theory with symmetry W1+∞ xW 1+∞ that describesthe thermodynamic limit of the Calogero-Sutherland model. In the repulsive regime of the free fermion formulation, we identify an attractive interaction between opposite moving particle-hole pairs that dominates the short distance behavior and that is proposed as responsible for the destabilization of the ground state, leading to a new one of bosonic nature. The process is described by a Bogoliubov transformation of the free fermion bilinear operators into bosonic ones, preserving the form of the W1+∞ algebra but decoupling the opposite chirality terms in the hamiltonian, as expected in the low energy limit. In coordinate space this interaction has a short range component that arises due to the quantum regularization of the theory. The described dynamical process may be considered as a mechanism of the emergence of the known charge and quantum statistics fractionalization of the low lying excitations of the theory, as predicted in both first and second quantization studies.Elsevier2025info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttps://repositorio.uca.edu.ar/handle/123456789/219360375-9601Physics Letters A, Volume 530, 15 January 2025, 130128reponame:Repositorio Institucional (UCA)instname:Pontificia Universidad Católica Argentinaenginfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/4.0/2026-09-28T11:10:43Zoai:ucacris:123456789/21936instacron:UCAInstitucionalhttps://repositorio.uca.edu.ar/Universidad privadaNo correspondehttps://repositorio.uca.edu.ar/oaiclaudia_fernandez@uca.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:25852026-09-28 11:10:44.274Repositorio Institucional (UCA) - Pontificia Universidad Católica Argentinafalse
dc.title.none.fl_str_mv Effective short distance interaction in Calogero-Sutherland quantum fluids
title Effective short distance interaction in Calogero-Sutherland quantum fluids
spellingShingle Effective short distance interaction in Calogero-Sutherland quantum fluids
Bottesi, Federico L.
FISICA
DINAMICA CUANTICA
MODELO CALOGERO-SUTHERLAND
TERMODINAMICA
title_short Effective short distance interaction in Calogero-Sutherland quantum fluids
title_full Effective short distance interaction in Calogero-Sutherland quantum fluids
title_fullStr Effective short distance interaction in Calogero-Sutherland quantum fluids
title_full_unstemmed Effective short distance interaction in Calogero-Sutherland quantum fluids
title_sort Effective short distance interaction in Calogero-Sutherland quantum fluids
dc.creator.none.fl_str_mv Bottesi, Federico L.
Zemba, Guillermo R.
author Bottesi, Federico L.
author_facet Bottesi, Federico L.
Zemba, Guillermo R.
author_role author
author2 Zemba, Guillermo R.
author2_role author
dc.subject.none.fl_str_mv FISICA
DINAMICA CUANTICA
MODELO CALOGERO-SUTHERLAND
TERMODINAMICA
topic FISICA
DINAMICA CUANTICA
MODELO CALOGERO-SUTHERLAND
TERMODINAMICA
dc.description.none.fl_txt_mv Fil: Bottesi, Federico L. Universidad de Buenos Aires. Facultad de Ingeniería; Argentina
Fil: Zemba, Guillermo R. Pontificia Universidad Católica Argentina. Facultad de Ingeniería y Ciencias Agrarias; Argentina
We consider the effective conformal field theory with symmetry W1+∞ xW 1+∞ that describesthe thermodynamic limit of the Calogero-Sutherland model. In the repulsive regime of the free fermion formulation, we identify an attractive interaction between opposite moving particle-hole pairs that dominates the short distance behavior and that is proposed as responsible for the destabilization of the ground state, leading to a new one of bosonic nature. The process is described by a Bogoliubov transformation of the free fermion bilinear operators into bosonic ones, preserving the form of the W1+∞ algebra but decoupling the opposite chirality terms in the hamiltonian, as expected in the low energy limit. In coordinate space this interaction has a short range component that arises due to the quantum regularization of the theory. The described dynamical process may be considered as a mechanism of the emergence of the known charge and quantum statistics fractionalization of the low lying excitations of the theory, as predicted in both first and second quantization studies.
description Fil: Bottesi, Federico L. Universidad de Buenos Aires. Facultad de Ingeniería; Argentina
publishDate 2025
dc.date.none.fl_str_mv 2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://repositorio.uca.edu.ar/handle/123456789/21936
0375-9601
url https://repositorio.uca.edu.ar/handle/123456789/21936
identifier_str_mv 0375-9601
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv Physics Letters A, Volume 530, 15 January 2025, 130128
reponame:Repositorio Institucional (UCA)
instname:Pontificia Universidad Católica Argentina
reponame_str Repositorio Institucional (UCA)
collection Repositorio Institucional (UCA)
instname_str Pontificia Universidad Católica Argentina
repository.name.fl_str_mv Repositorio Institucional (UCA) - Pontificia Universidad Católica Argentina
repository.mail.fl_str_mv claudia_fernandez@uca.edu.ar
_version_ 1877586771682787328
score 13.265058

Publicaciones similares