No Cover Image

Journal article 52 views 13 downloads

On entanglement c-functions in confining gauge field theories

Niko Jokela Orcid Logo, Jani Kastikainen Orcid Logo, Carlos Nunez Orcid Logo, José Manuel Penín Orcid Logo, Helime Ruotsalainen Orcid Logo, Javier G. Subils Orcid Logo

Journal of High Energy Physics, Volume: 2025, Issue: 11

Swansea University Author: Carlos Nunez Orcid Logo

  • 70946.VoR.pdf

    PDF | Version of Record

    © The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0).

    Download (1.44MB)

Check full text

DOI (Published version): 10.1007/jhep11(2025)101

Abstract

Entanglement entropy has proven to be a powerful tool for probing renormalization group (RG) flows in quantum field theories, with c-functions derived from it serving as candidate measures of the effective number of degrees of freedom. While the monotonicity of such c-functions is well established i...

Full description

Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2025
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa70946
first_indexed 2025-11-19T22:01:33Z
last_indexed 2026-01-06T05:41:03Z
id cronfa70946
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2026-01-05T16:41:54.7704472</datestamp><bib-version>v2</bib-version><id>70946</id><entry>2025-11-19</entry><title>On entanglement c-functions in confining gauge field theories</title><swanseaauthors><author><sid>c0d6540c37ad4b0a5934d3978048fb2a</sid><ORCID>0000-0002-1958-9551</ORCID><firstname>Carlos</firstname><surname>Nunez</surname><name>Carlos Nunez</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2025-11-19</date><deptcode>BGPS</deptcode><abstract>Entanglement entropy has proven to be a powerful tool for probing renormalization group (RG) flows in quantum field theories, with c-functions derived from it serving as candidate measures of the effective number of degrees of freedom. While the monotonicity of such c-functions is well established in many settings, notable exceptions occur in theories with a mass scale. In this work, we investigate entanglement c-functions in the context of holographic RG flows, with a particular focus on flows across dimensions induced by circle compactifications. We argue that in spacetime dimensions d &#x2265; 4, standard constructions of c-functions, which rely on higher derivatives of the entanglement entropy of either a ball or a cylinder, generically lead to non-monotonic behavior. Working with known dual geometries, we argue that the non-monotonicity stems not from any pathology or curvature singularity, but from a transition in the holographic Ryu-Takayanagi surface. In compactifications from four to three dimensions, we propose a modified construction that restores monotonicity in the infrared, although a fully monotonic ultraviolet extension remains elusive. Furthermore, motivated by entanglement entropy inequalities, we conjecture a bound on the cylinder entanglement c-function, which holds in all our examples.</abstract><type>Journal Article</type><journal>Journal of High Energy Physics</journal><volume>2025</volume><journalNumber>11</journalNumber><paginationStart/><paginationEnd/><publisher>Springer Science and Business Media LLC</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint/><issnElectronic>1029-8479</issnElectronic><keywords>AdS-CFT Correspondence; Confinement; Gauge-Gravity Correspondence</keywords><publishedDay>18</publishedDay><publishedMonth>11</publishedMonth><publishedYear>2025</publishedYear><publishedDate>2025-11-18</publishedDate><doi>10.1007/jhep11(2025)101</doi><url/><notes/><college>COLLEGE NANME</college><department>Biosciences Geography and Physics School</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>BGPS</DepartmentCode><institution>Swansea University</institution><apcterm>Another institution paid the OA fee</apcterm><funders>STFC (ST/Y509644-1, ST/X000648/1 and ST/T000813/1)</funders><projectreference/><lastEdited>2026-01-05T16:41:54.7704472</lastEdited><Created>2025-11-19T19:44:06.6961958</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Biosciences, Geography and Physics - Physics</level></path><authors><author><firstname>Niko</firstname><surname>Jokela</surname><orcid>0000-0002-5215-5384</orcid><order>1</order></author><author><firstname>Jani</firstname><surname>Kastikainen</surname><orcid>0000-0002-6061-7702</orcid><order>2</order></author><author><firstname>Carlos</firstname><surname>Nunez</surname><orcid>0000-0002-1958-9551</orcid><order>3</order></author><author><firstname>Jos&#xE9; Manuel</firstname><surname>Pen&#xED;n</surname><orcid>0000-0002-7394-2678</orcid><order>4</order></author><author><firstname>Helime</firstname><surname>Ruotsalainen</surname><orcid>0000-0003-2544-409x</orcid><order>5</order></author><author><firstname>Javier G.</firstname><surname>Subils</surname><orcid>0000-0003-0104-9722</orcid><order>6</order></author></authors><documents><document><filename>70946__35901__6bdbe85f618b4c78b255d7f33c43c1f0.pdf</filename><originalFilename>70946.VoR.pdf</originalFilename><uploaded>2026-01-05T16:39:45.9657090</uploaded><type>Output</type><contentLength>1505718</contentLength><contentType>application/pdf</contentType><version>Version of Record</version><cronfaStatus>true</cronfaStatus><documentNotes>&#xA9; The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0).</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language><licence>http://creativecommons.org/licenses/by/4.0/</licence></document></documents><OutputDurs/></rfc1807>
spelling 2026-01-05T16:41:54.7704472 v2 70946 2025-11-19 On entanglement c-functions in confining gauge field theories c0d6540c37ad4b0a5934d3978048fb2a 0000-0002-1958-9551 Carlos Nunez Carlos Nunez true false 2025-11-19 BGPS Entanglement entropy has proven to be a powerful tool for probing renormalization group (RG) flows in quantum field theories, with c-functions derived from it serving as candidate measures of the effective number of degrees of freedom. While the monotonicity of such c-functions is well established in many settings, notable exceptions occur in theories with a mass scale. In this work, we investigate entanglement c-functions in the context of holographic RG flows, with a particular focus on flows across dimensions induced by circle compactifications. We argue that in spacetime dimensions d ≥ 4, standard constructions of c-functions, which rely on higher derivatives of the entanglement entropy of either a ball or a cylinder, generically lead to non-monotonic behavior. Working with known dual geometries, we argue that the non-monotonicity stems not from any pathology or curvature singularity, but from a transition in the holographic Ryu-Takayanagi surface. In compactifications from four to three dimensions, we propose a modified construction that restores monotonicity in the infrared, although a fully monotonic ultraviolet extension remains elusive. Furthermore, motivated by entanglement entropy inequalities, we conjecture a bound on the cylinder entanglement c-function, which holds in all our examples. Journal Article Journal of High Energy Physics 2025 11 Springer Science and Business Media LLC 1029-8479 AdS-CFT Correspondence; Confinement; Gauge-Gravity Correspondence 18 11 2025 2025-11-18 10.1007/jhep11(2025)101 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University Another institution paid the OA fee STFC (ST/Y509644-1, ST/X000648/1 and ST/T000813/1) 2026-01-05T16:41:54.7704472 2025-11-19T19:44:06.6961958 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Niko Jokela 0000-0002-5215-5384 1 Jani Kastikainen 0000-0002-6061-7702 2 Carlos Nunez 0000-0002-1958-9551 3 José Manuel Penín 0000-0002-7394-2678 4 Helime Ruotsalainen 0000-0003-2544-409x 5 Javier G. Subils 0000-0003-0104-9722 6 70946__35901__6bdbe85f618b4c78b255d7f33c43c1f0.pdf 70946.VoR.pdf 2026-01-05T16:39:45.9657090 Output 1505718 application/pdf Version of Record true © The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0). true eng http://creativecommons.org/licenses/by/4.0/
title On entanglement c-functions in confining gauge field theories
spellingShingle On entanglement c-functions in confining gauge field theories
Carlos Nunez
title_short On entanglement c-functions in confining gauge field theories
title_full On entanglement c-functions in confining gauge field theories
title_fullStr On entanglement c-functions in confining gauge field theories
title_full_unstemmed On entanglement c-functions in confining gauge field theories
title_sort On entanglement c-functions in confining gauge field theories
author_id_str_mv c0d6540c37ad4b0a5934d3978048fb2a
author_id_fullname_str_mv c0d6540c37ad4b0a5934d3978048fb2a_***_Carlos Nunez
author Carlos Nunez
author2 Niko Jokela
Jani Kastikainen
Carlos Nunez
José Manuel Penín
Helime Ruotsalainen
Javier G. Subils
format Journal article
container_title Journal of High Energy Physics
container_volume 2025
container_issue 11
publishDate 2025
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/jhep11(2025)101
publisher Springer Science and Business Media LLC
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description Entanglement entropy has proven to be a powerful tool for probing renormalization group (RG) flows in quantum field theories, with c-functions derived from it serving as candidate measures of the effective number of degrees of freedom. While the monotonicity of such c-functions is well established in many settings, notable exceptions occur in theories with a mass scale. In this work, we investigate entanglement c-functions in the context of holographic RG flows, with a particular focus on flows across dimensions induced by circle compactifications. We argue that in spacetime dimensions d ≥ 4, standard constructions of c-functions, which rely on higher derivatives of the entanglement entropy of either a ball or a cylinder, generically lead to non-monotonic behavior. Working with known dual geometries, we argue that the non-monotonicity stems not from any pathology or curvature singularity, but from a transition in the holographic Ryu-Takayanagi surface. In compactifications from four to three dimensions, we propose a modified construction that restores monotonicity in the infrared, although a fully monotonic ultraviolet extension remains elusive. Furthermore, motivated by entanglement entropy inequalities, we conjecture a bound on the cylinder entanglement c-function, which holds in all our examples.
published_date 2025-11-18T05:32:48Z
_version_ 1856805764827447296
score 11.09611

Similar Items