Searching for a C-function on the three-dimensional sphere

We present a detailed analytic study on the three-dimensional sphere of the most popular candidates for C-functions, both for Dirac and scalar free massive fields. We discuss to which extent the effective action, the Rényi entanglement entropy and the renormalized entanglement entropy fulfill the co...

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Detalles Bibliográficos
Autores principales: Beneventano, Carlota Gabriela, Cavero Peláez, I., D'Ascanio, Daniela, Santángelo, Eve Mariel
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2017
Materias:
Física
Acciones efectivas
Entropía de Rényi
Regularización zeta
C-functions
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/98328
https://ri.conicet.gov.ar/11336/64438
http://iopscience.iop.org/article/10.1088/1751-8121/aa8e38/meta
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-98328
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Acciones efectivas
Entropía de Rényi
Regularización zeta
C-functions
spellingShingle Física
Acciones efectivas
Entropía de Rényi
Regularización zeta
C-functions
Beneventano, Carlota Gabriela
Cavero Peláez, I.
D'Ascanio, Daniela
Santángelo, Eve Mariel
Searching for a C-function on the three-dimensional sphere
topic_facet Física
Acciones efectivas
Entropía de Rényi
Regularización zeta
C-functions
description We present a detailed analytic study on the three-dimensional sphere of the most popular candidates for C-functions, both for Dirac and scalar free massive fields. We discuss to which extent the effective action, the Rényi entanglement entropy and the renormalized entanglement entropy fulfill the conditions expected from C-functions. In view of the absence of a good candidate in the case of the scalar field, we introduce a new candidate, which we call the modified effective action, and analyze its pros and cons.
format Articulo
Preprint
author Beneventano, Carlota Gabriela
Cavero Peláez, I.
D'Ascanio, Daniela
Santángelo, Eve Mariel
author_facet Beneventano, Carlota Gabriela
Cavero Peláez, I.
D'Ascanio, Daniela
Santángelo, Eve Mariel
author_sort Beneventano, Carlota Gabriela
title Searching for a C-function on the three-dimensional sphere
title_short Searching for a C-function on the three-dimensional sphere
title_full Searching for a C-function on the three-dimensional sphere
title_fullStr Searching for a C-function on the three-dimensional sphere
title_full_unstemmed Searching for a C-function on the three-dimensional sphere
title_sort searching for a c-function on the three-dimensional sphere
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/98328
https://ri.conicet.gov.ar/11336/64438
http://iopscience.iop.org/article/10.1088/1751-8121/aa8e38/meta
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AT dascaniodaniela searchingforacfunctiononthethreedimensionalsphere
AT santangeloevemariel searchingforacfunctiononthethreedimensionalsphere
bdutipo_str Repositorios
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