Renyi relative entropies and renormalization group flows

Autores
Casini, Horacio German; Medina, Raimel; Salazar Landea, Ignacio; Torroba, Gonzalo
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Quantum Renyi relative entropies provide a one-parameter family of distances between density matrices, which generalizes the relative entropy and the fidelity. We study these measures for renormalization group flows in quantum field theory. We derive explicit expressions in free field theory based on the real time approach. Using monotonicity properties, we obtain new inequalities that need to be satisfied by consistent renormalization group trajectories in field theory. These inequalities play the role of a second law of thermodynamics, in the context of renormalization group flows. Finally, we apply these results to a tractable Kondo model, where we evaluate the Renyi relative entropies explicitly. An outcome of this is that Anderson’s orthogonality catastrophe can be avoided by working on a Cauchy surface that approaches the light-cone.
Fil: Casini, Horacio German. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Medina, Raimel. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Salazar Landea, Ignacio. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Torroba, Gonzalo. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
BOUNDARY QUANTUM FIELD THEORY
CONFORMAL FIELD THEORY
RENORMALIZATION GROUP
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/97660
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Renyi relative entropies and renormalization group flowsCasini, Horacio GermanMedina, RaimelSalazar Landea, IgnacioTorroba, GonzaloBOUNDARY QUANTUM FIELD THEORYCONFORMAL FIELD THEORYRENORMALIZATION GROUPhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Quantum Renyi relative entropies provide a one-parameter family of distances between density matrices, which generalizes the relative entropy and the fidelity. We study these measures for renormalization group flows in quantum field theory. We derive explicit expressions in free field theory based on the real time approach. Using monotonicity properties, we obtain new inequalities that need to be satisfied by consistent renormalization group trajectories in field theory. These inequalities play the role of a second law of thermodynamics, in the context of renormalization group flows. Finally, we apply these results to a tractable Kondo model, where we evaluate the Renyi relative entropies explicitly. An outcome of this is that Anderson’s orthogonality catastrophe can be avoided by working on a Cauchy surface that approaches the light-cone.Fil: Casini, Horacio German. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaFil: Medina, Raimel. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaFil: Salazar Landea, Ignacio. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaFil: Torroba, Gonzalo. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaSpringer2018-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/97660Casini, Horacio German; Medina, Raimel; Salazar Landea, Ignacio ; Torroba, Gonzalo; Renyi relative entropies and renormalization group flows; Springer; Journal of High Energy Physics; 2018; 9; 9-2018; 1-261126-6708CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP09(2018)166info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2FJHEP09%282018%29166info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1807.03305info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:51:03Zoai:ri.conicet.gov.ar:11336/97660instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:51:04.1CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Renyi relative entropies and renormalization group flows
title Renyi relative entropies and renormalization group flows
spellingShingle Renyi relative entropies and renormalization group flows
Casini, Horacio German
BOUNDARY QUANTUM FIELD THEORY
CONFORMAL FIELD THEORY
RENORMALIZATION GROUP
title_short Renyi relative entropies and renormalization group flows
title_full Renyi relative entropies and renormalization group flows
title_fullStr Renyi relative entropies and renormalization group flows
title_full_unstemmed Renyi relative entropies and renormalization group flows
title_sort Renyi relative entropies and renormalization group flows
dc.creator.none.fl_str_mv Casini, Horacio German
Medina, Raimel
Salazar Landea, Ignacio
Torroba, Gonzalo
author Casini, Horacio German
author_facet Casini, Horacio German
Medina, Raimel
Salazar Landea, Ignacio
Torroba, Gonzalo
author_role author
author2 Medina, Raimel
Salazar Landea, Ignacio
Torroba, Gonzalo
author2_role author
author
author
dc.subject.none.fl_str_mv BOUNDARY QUANTUM FIELD THEORY
CONFORMAL FIELD THEORY
RENORMALIZATION GROUP
topic BOUNDARY QUANTUM FIELD THEORY
CONFORMAL FIELD THEORY
RENORMALIZATION GROUP
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Quantum Renyi relative entropies provide a one-parameter family of distances between density matrices, which generalizes the relative entropy and the fidelity. We study these measures for renormalization group flows in quantum field theory. We derive explicit expressions in free field theory based on the real time approach. Using monotonicity properties, we obtain new inequalities that need to be satisfied by consistent renormalization group trajectories in field theory. These inequalities play the role of a second law of thermodynamics, in the context of renormalization group flows. Finally, we apply these results to a tractable Kondo model, where we evaluate the Renyi relative entropies explicitly. An outcome of this is that Anderson’s orthogonality catastrophe can be avoided by working on a Cauchy surface that approaches the light-cone.
Fil: Casini, Horacio German. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Medina, Raimel. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Salazar Landea, Ignacio. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Torroba, Gonzalo. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description Quantum Renyi relative entropies provide a one-parameter family of distances between density matrices, which generalizes the relative entropy and the fidelity. We study these measures for renormalization group flows in quantum field theory. We derive explicit expressions in free field theory based on the real time approach. Using monotonicity properties, we obtain new inequalities that need to be satisfied by consistent renormalization group trajectories in field theory. These inequalities play the role of a second law of thermodynamics, in the context of renormalization group flows. Finally, we apply these results to a tractable Kondo model, where we evaluate the Renyi relative entropies explicitly. An outcome of this is that Anderson’s orthogonality catastrophe can be avoided by working on a Cauchy surface that approaches the light-cone.
publishDate 2018
dc.date.none.fl_str_mv 2018-09
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 http://hdl.handle.net/11336/97660
Casini, Horacio German; Medina, Raimel; Salazar Landea, Ignacio ; Torroba, Gonzalo; Renyi relative entropies and renormalization group flows; Springer; Journal of High Energy Physics; 2018; 9; 9-2018; 1-26
1126-6708
CONICET Digital
CONICET
url http://hdl.handle.net/11336/97660
identifier_str_mv Casini, Horacio German; Medina, Raimel; Salazar Landea, Ignacio ; Torroba, Gonzalo; Renyi relative entropies and renormalization group flows; Springer; Journal of High Energy Physics; 2018; 9; 9-2018; 1-26
1126-6708
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP09(2018)166
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2FJHEP09%282018%29166
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1807.03305
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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