The g-theorem and quantum information theory

A bstract We study boundary renormalization group flows between boundary conformal field theories in 1 + 1 dimensions using methods of quantum information theory. We define an entropic g -function for theories with impurities in terms of the relative entanglement entropy, and we prove that this g -f...

Full description

Saved in:
Bibliographic Details
Published in:The journal of high energy physics 2016-10, Vol.2016 (10), p.1-34, Article 140
Main Authors: Casini, Horacio, Landea, Ignacio Salazar, Torroba, Gonzalo
Format: Article
Language:English
Subjects:
Boundaries
Classical and Quantum Gravitation
Correlation
Degrees of freedom
Elementary Particles
Entropy
Field theory
High energy physics
Impurities
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum phenomena
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c566t-5fee802f58d6d5b246f9533b55d9b9880c9cd66467a19af08ae53d17fa744cbc3
cites cdi_FETCH-LOGICAL-c566t-5fee802f58d6d5b246f9533b55d9b9880c9cd66467a19af08ae53d17fa744cbc3
container_end_page 34
container_issue 10
container_start_page 1
container_title The journal of high energy physics
container_volume 2016
creator Casini, Horacio
Landea, Ignacio Salazar
Torroba, Gonzalo
description A bstract We study boundary renormalization group flows between boundary conformal field theories in 1 + 1 dimensions using methods of quantum information theory. We define an entropic g -function for theories with impurities in terms of the relative entanglement entropy, and we prove that this g -function decreases along boundary renormalization group flows. This entropic g -theorem is valid at zero temperature, and is independent from the g -theorem based on the thermal partition function. We also discuss the mutual information in boundary RG flows, and how it encodes the correlations between the impurity and bulk degrees of freedom. Our results provide a quantum-information understanding of (boundary) RG flow as increase of distinguishability between the UV fixed point and the theory along the RG flow.
doi_str_mv 10.1007/JHEP10(2016)140
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1855378286</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1855378286</sourcerecordid><originalsourceid>FETCH-LOGICAL-c566t-5fee802f58d6d5b246f9533b55d9b9880c9cd66467a19af08ae53d17fa744cbc3</originalsourceid><addsrcrecordid>eNp1kM9LwzAUx4MoOKdnrwUvE6x7aZpfR5HplIEe5jmkabJ1rOmWtIf993bWwxA8vQfv8_3y-CB0i-ERA_Dp-3z2iWGSAWb3OIczNMKQyVTkXJ6f7JfoKsYNAKZYwgg9LNc2WaXt2jbB1on2ZbLvtG-7Oqm8a0Kt26rxyc_9cI0unN5Ge_M7x-jrZbZ8nqeLj9e356dFaihjbUqdtQIyR0XJSlpkOXOSElJQWspCCgFGmpKxnHGNpXYgtKWkxNxpnuemMGSMJkPvLjT7zsZW1VU0drvV3jZdVFhQSrjIBOvRuz_opumC77_rKUIg4wSO1HSgTGhiDNapXahqHQ4KgzraU4M9dbSnent9AoZE7Em_suGk95_IN1PCb6Y</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1833027306</pqid></control><display><type>article</type><title>The g-theorem and quantum information theory</title><source>Springer Nature - SpringerLink Journals - Fully Open Access</source><source>Publicly Available Content (ProQuest)</source><creator>Casini, Horacio ; Landea, Ignacio Salazar ; Torroba, Gonzalo</creator><creatorcontrib>Casini, Horacio ; Landea, Ignacio Salazar ; Torroba, Gonzalo</creatorcontrib><description>A bstract We study boundary renormalization group flows between boundary conformal field theories in 1 + 1 dimensions using methods of quantum information theory. We define an entropic g -function for theories with impurities in terms of the relative entanglement entropy, and we prove that this g -function decreases along boundary renormalization group flows. This entropic g -theorem is valid at zero temperature, and is independent from the g -theorem based on the thermal partition function. We also discuss the mutual information in boundary RG flows, and how it encodes the correlations between the impurity and bulk degrees of freedom. Our results provide a quantum-information understanding of (boundary) RG flow as increase of distinguishability between the UV fixed point and the theory along the RG flow.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP10(2016)140</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Boundaries ; Classical and Quantum Gravitation ; Correlation ; Degrees of freedom ; Elementary Particles ; Entropy ; Field theory ; High energy physics ; Impurities ; Mathematical analysis ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum phenomena ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; String Theory</subject><ispartof>The journal of high energy physics, 2016-10, Vol.2016 (10), p.1-34, Article 140</ispartof><rights>The Author(s) 2016</rights><rights>SISSA, Trieste, Italy 2016</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c566t-5fee802f58d6d5b246f9533b55d9b9880c9cd66467a19af08ae53d17fa744cbc3</citedby><cites>FETCH-LOGICAL-c566t-5fee802f58d6d5b246f9533b55d9b9880c9cd66467a19af08ae53d17fa744cbc3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/1833027306/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/1833027306?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,25753,27924,27925,37012,37013,44590,75126</link.rule.ids></links><search><creatorcontrib>Casini, Horacio</creatorcontrib><creatorcontrib>Landea, Ignacio Salazar</creatorcontrib><creatorcontrib>Torroba, Gonzalo</creatorcontrib><title>The g-theorem and quantum information theory</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A bstract We study boundary renormalization group flows between boundary conformal field theories in 1 + 1 dimensions using methods of quantum information theory. We define an entropic g -function for theories with impurities in terms of the relative entanglement entropy, and we prove that this g -function decreases along boundary renormalization group flows. This entropic g -theorem is valid at zero temperature, and is independent from the g -theorem based on the thermal partition function. We also discuss the mutual information in boundary RG flows, and how it encodes the correlations between the impurity and bulk degrees of freedom. Our results provide a quantum-information understanding of (boundary) RG flow as increase of distinguishability between the UV fixed point and the theory along the RG flow.</description><subject>Boundaries</subject><subject>Classical and Quantum Gravitation</subject><subject>Correlation</subject><subject>Degrees of freedom</subject><subject>Elementary Particles</subject><subject>Entropy</subject><subject>Field theory</subject><subject>High energy physics</subject><subject>Impurities</subject><subject>Mathematical analysis</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum phenomena</subject><subject>Quantum Physics</subject><subject>Regular Article - Theoretical Physics</subject><subject>Relativity Theory</subject><subject>String Theory</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNp1kM9LwzAUx4MoOKdnrwUvE6x7aZpfR5HplIEe5jmkabJ1rOmWtIf993bWwxA8vQfv8_3y-CB0i-ERA_Dp-3z2iWGSAWb3OIczNMKQyVTkXJ6f7JfoKsYNAKZYwgg9LNc2WaXt2jbB1on2ZbLvtG-7Oqm8a0Kt26rxyc_9cI0unN5Ge_M7x-jrZbZ8nqeLj9e356dFaihjbUqdtQIyR0XJSlpkOXOSElJQWspCCgFGmpKxnHGNpXYgtKWkxNxpnuemMGSMJkPvLjT7zsZW1VU0drvV3jZdVFhQSrjIBOvRuz_opumC77_rKUIg4wSO1HSgTGhiDNapXahqHQ4KgzraU4M9dbSnent9AoZE7Em_suGk95_IN1PCb6Y</recordid><startdate>20161001</startdate><enddate>20161001</enddate><creator>Casini, Horacio</creator><creator>Landea, Ignacio Salazar</creator><creator>Torroba, Gonzalo</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20161001</creationdate><title>The g-theorem and quantum information theory</title><author>Casini, Horacio ; Landea, Ignacio Salazar ; Torroba, Gonzalo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c566t-5fee802f58d6d5b246f9533b55d9b9880c9cd66467a19af08ae53d17fa744cbc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Boundaries</topic><topic>Classical and Quantum Gravitation</topic><topic>Correlation</topic><topic>Degrees of freedom</topic><topic>Elementary Particles</topic><topic>Entropy</topic><topic>Field theory</topic><topic>High energy physics</topic><topic>Impurities</topic><topic>Mathematical analysis</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum phenomena</topic><topic>Quantum Physics</topic><topic>Regular Article - Theoretical Physics</topic><topic>Relativity Theory</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Casini, Horacio</creatorcontrib><creatorcontrib>Landea, Ignacio Salazar</creatorcontrib><creatorcontrib>Torroba, Gonzalo</creatorcontrib><collection>SpringerOpen</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>Advanced Technologies &amp; Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>AUTh Library subscriptions: ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>ProQuest advanced technologies &amp; aerospace journals</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>Publicly Available Content (ProQuest)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Casini, Horacio</au><au>Landea, Ignacio Salazar</au><au>Torroba, Gonzalo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The g-theorem and quantum information theory</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2016-10-01</date><risdate>2016</risdate><volume>2016</volume><issue>10</issue><spage>1</spage><epage>34</epage><pages>1-34</pages><artnum>140</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A bstract We study boundary renormalization group flows between boundary conformal field theories in 1 + 1 dimensions using methods of quantum information theory. We define an entropic g -function for theories with impurities in terms of the relative entanglement entropy, and we prove that this g -function decreases along boundary renormalization group flows. This entropic g -theorem is valid at zero temperature, and is independent from the g -theorem based on the thermal partition function. We also discuss the mutual information in boundary RG flows, and how it encodes the correlations between the impurity and bulk degrees of freedom. Our results provide a quantum-information understanding of (boundary) RG flow as increase of distinguishability between the UV fixed point and the theory along the RG flow.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP10(2016)140</doi><tpages>34</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1029-8479
ispartof The journal of high energy physics, 2016-10, Vol.2016 (10), p.1-34, Article 140
issn 1029-8479
1029-8479
language eng
recordid cdi_proquest_miscellaneous_1855378286
source Springer Nature - SpringerLink Journals - Fully Open Access; Publicly Available Content (ProQuest)
subjects Boundaries
Classical and Quantum Gravitation
Correlation
Degrees of freedom
Elementary Particles
Entropy
Field theory
High energy physics
Impurities
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum phenomena
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
title The g-theorem and quantum information theory
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-27T15%3A54%3A44IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=The%20g-theorem%20and%20quantum%20information%20theory&rft.jtitle=The%20journal%20of%20high%20energy%20physics&rft.au=Casini,%20Horacio&rft.date=2016-10-01&rft.volume=2016&rft.issue=10&rft.spage=1&rft.epage=34&rft.pages=1-34&rft.artnum=140&rft.issn=1029-8479&rft.eissn=1029-8479&rft_id=info:doi/10.1007/JHEP10(2016)140&rft_dat=%3Cproquest_cross%3E1855378286%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c566t-5fee802f58d6d5b246f9533b55d9b9880c9cd66467a19af08ae53d17fa744cbc3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=1833027306&rft_id=info:pmid/&rfr_iscdi=true