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Holographic entanglement of purification near a critical point
In the presence of finite chemical potential μ , we holographically compute the entanglement of purification in a 2 + 1 - and 3 + 1 -dimensional field theory and also in a 3 + 1 -dimensional field theory with a critical point, at which a phase transition takes place. We observe that compared to 2 +...
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Published in: | The European physical journal. C, Particles and fields Particles and fields, 2020-12, Vol.80 (12), p.1-10, Article 1152 |
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creator | Amrahi, B. Ali-Akbari, M. Asadi, M. |
description | In the presence of finite chemical potential
μ
, we holographically compute the entanglement of purification in a
2
+
1
- and
3
+
1
-dimensional field theory and also in a
3
+
1
-dimensional field theory with a critical point, at which a phase transition takes place. We observe that compared to
2
+
1
- and
3
+
1
-dimensional field theories, the behavior of entanglement of purification near critical point is different and it is not a monotonic function of
μ
T
where
T
is the temperature of the field theory. Therefore, the entanglement of purification distinguishes the critical point in the field theory. We also discuss the dependence of the holographic entanglement of purification on the various parameters of the theories. Moreover, the critical exponent is calculated. |
doi_str_mv | 10.1140/epjc/s10052-020-08647-8 |
format | article |
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μ
, we holographically compute the entanglement of purification in a
2
+
1
- and
3
+
1
-dimensional field theory and also in a
3
+
1
-dimensional field theory with a critical point, at which a phase transition takes place. We observe that compared to
2
+
1
- and
3
+
1
-dimensional field theories, the behavior of entanglement of purification near critical point is different and it is not a monotonic function of
μ
T
where
T
is the temperature of the field theory. Therefore, the entanglement of purification distinguishes the critical point in the field theory. We also discuss the dependence of the holographic entanglement of purification on the various parameters of the theories. Moreover, the critical exponent is calculated.</description><identifier>ISSN: 1434-6044</identifier><identifier>EISSN: 1434-6052</identifier><identifier>DOI: 10.1140/epjc/s10052-020-08647-8</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Astronomy ; Astrophysics and Cosmology ; Chemical potential ; Critical point ; Elementary Particles ; Entanglement ; Field theory ; Hadrons ; Heavy Ions ; Holography ; Measurement Science and Instrumentation ; Nuclear Energy ; Nuclear Physics ; Phase transitions ; Physics ; Physics and Astronomy ; Purification ; Quantum Field Theories ; Quantum Field Theory ; Regular Article – Theoretical Physics ; String Theory</subject><ispartof>The European physical journal. C, Particles and fields, 2020-12, Vol.80 (12), p.1-10, Article 1152</ispartof><rights>The Author(s) 2020</rights><rights>COPYRIGHT 2020 Springer</rights><rights>The Author(s) 2020. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c522t-7f338b908a3421c77feb8fcb27a3ae71e08b612cb2288814fba02e92f2093a9d3</citedby><cites>FETCH-LOGICAL-c522t-7f338b908a3421c77feb8fcb27a3ae71e08b612cb2288814fba02e92f2093a9d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2473327220/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2473327220?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,25753,27924,27925,37012,44590,75126</link.rule.ids></links><search><creatorcontrib>Amrahi, B.</creatorcontrib><creatorcontrib>Ali-Akbari, M.</creatorcontrib><creatorcontrib>Asadi, M.</creatorcontrib><title>Holographic entanglement of purification near a critical point</title><title>The European physical journal. C, Particles and fields</title><addtitle>Eur. Phys. J. C</addtitle><description>In the presence of finite chemical potential
μ
, we holographically compute the entanglement of purification in a
2
+
1
- and
3
+
1
-dimensional field theory and also in a
3
+
1
-dimensional field theory with a critical point, at which a phase transition takes place. We observe that compared to
2
+
1
- and
3
+
1
-dimensional field theories, the behavior of entanglement of purification near critical point is different and it is not a monotonic function of
μ
T
where
T
is the temperature of the field theory. Therefore, the entanglement of purification distinguishes the critical point in the field theory. We also discuss the dependence of the holographic entanglement of purification on the various parameters of the theories. Moreover, the critical exponent is calculated.</description><subject>Astronomy</subject><subject>Astrophysics and Cosmology</subject><subject>Chemical potential</subject><subject>Critical point</subject><subject>Elementary Particles</subject><subject>Entanglement</subject><subject>Field theory</subject><subject>Hadrons</subject><subject>Heavy Ions</subject><subject>Holography</subject><subject>Measurement Science and Instrumentation</subject><subject>Nuclear Energy</subject><subject>Nuclear Physics</subject><subject>Phase transitions</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Purification</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Regular Article – Theoretical Physics</subject><subject>String Theory</subject><issn>1434-6044</issn><issn>1434-6052</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNqFkV9rFTEQxRdRsFY_gws--bDtZJK7yb4IpVh7oSD45zlks5k1l73JmuSCfnvTrlT6JHnIcDi_wwynad4yuGBMwKVbD_YyM4AddoDQgeqF7NSz5owJLrq-6s8fZyFeNq9yPgAAClBnzYfbuMQ5mfWHt60LxYR5ccc6tJHa9ZQ8eWuKj6ENzqTWtDb5UqWlXaMP5XXzgsyS3Zu__3nz_ebjt-vb7u7zp_311V1nd4ilk8S5GgdQhgtkVkpyoyI7ojTcOMkcqLFnWAVUSjFBowF0AxLCwM0w8fNmv-VO0Rz0mvzRpN86Gq8fhJhmbVLda3Ga4zhJGqbBSSVgpBGJOJGiHcpBAtasd1vWmuLPk8tFH-Iphbq-RiE5R4kI1XWxuWZTQ32gWJKx9U3u6G0MjnzVr_odiB5RDBV4_wSonuJ-ldmcctb7r1-eeuXmtSnmnBw9nsRA37eq71vVW6u6tqofWtWqkmojcyXC7NK_5f-H_gHFO6bP</recordid><startdate>20201201</startdate><enddate>20201201</enddate><creator>Amrahi, B.</creator><creator>Ali-Akbari, M.</creator><creator>Asadi, M.</creator><general>Springer Berlin Heidelberg</general><general>Springer</general><general>Springer Nature B.V</general><general>SpringerOpen</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>ISR</scope><scope>7U5</scope><scope>8FD</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>H8D</scope><scope>HCIFZ</scope><scope>L7M</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>DOA</scope></search><sort><creationdate>20201201</creationdate><title>Holographic entanglement of purification near a critical point</title><author>Amrahi, B. ; Ali-Akbari, M. ; Asadi, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c522t-7f338b908a3421c77feb8fcb27a3ae71e08b612cb2288814fba02e92f2093a9d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Astronomy</topic><topic>Astrophysics and Cosmology</topic><topic>Chemical potential</topic><topic>Critical point</topic><topic>Elementary Particles</topic><topic>Entanglement</topic><topic>Field theory</topic><topic>Hadrons</topic><topic>Heavy Ions</topic><topic>Holography</topic><topic>Measurement Science and Instrumentation</topic><topic>Nuclear Energy</topic><topic>Nuclear Physics</topic><topic>Phase transitions</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Purification</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Regular Article – Theoretical Physics</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Amrahi, B.</creatorcontrib><creatorcontrib>Ali-Akbari, M.</creatorcontrib><creatorcontrib>Asadi, M.</creatorcontrib><collection>SpringerOpen (Open Access)</collection><collection>CrossRef</collection><collection>Gale In Context: Science</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>Aerospace Database</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>ProQuest advanced technologies & aerospace journals</collection><collection>ProQuest Advanced Technologies & 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>Directory of Open Access Journals</collection><jtitle>The European physical journal. C, Particles and fields</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Amrahi, B.</au><au>Ali-Akbari, M.</au><au>Asadi, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Holographic entanglement of purification near a critical point</atitle><jtitle>The European physical journal. C, Particles and fields</jtitle><stitle>Eur. Phys. J. C</stitle><date>2020-12-01</date><risdate>2020</risdate><volume>80</volume><issue>12</issue><spage>1</spage><epage>10</epage><pages>1-10</pages><artnum>1152</artnum><issn>1434-6044</issn><eissn>1434-6052</eissn><abstract>In the presence of finite chemical potential
μ
, we holographically compute the entanglement of purification in a
2
+
1
- and
3
+
1
-dimensional field theory and also in a
3
+
1
-dimensional field theory with a critical point, at which a phase transition takes place. We observe that compared to
2
+
1
- and
3
+
1
-dimensional field theories, the behavior of entanglement of purification near critical point is different and it is not a monotonic function of
μ
T
where
T
is the temperature of the field theory. Therefore, the entanglement of purification distinguishes the critical point in the field theory. We also discuss the dependence of the holographic entanglement of purification on the various parameters of the theories. Moreover, the critical exponent is calculated.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epjc/s10052-020-08647-8</doi><tpages>10</tpages><oa>free_for_read</oa></addata></record> |
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language | eng |
recordid | cdi_doaj_primary_oai_doaj_org_article_32bd7f9d9e7840bfb2ff3ff8f5279702 |
source | Springer Nature - SpringerLink Journals - Fully Open Access; Publicly Available Content (ProQuest) |
subjects | Astronomy Astrophysics and Cosmology Chemical potential Critical point Elementary Particles Entanglement Field theory Hadrons Heavy Ions Holography Measurement Science and Instrumentation Nuclear Energy Nuclear Physics Phase transitions Physics Physics and Astronomy Purification Quantum Field Theories Quantum Field Theory Regular Article – Theoretical Physics String Theory |
title | Holographic entanglement of purification near a critical point |
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