TT¯ deformed YM2 on general backgrounds from an integral transformation
A bstract We consider the T T ¯ deformation of two dimensional Yang-Mills theory on general curved backgrounds. We compute the deformed partition function through an integral transformation over frame fields weighted by a Gaussian kernel. We show that this partition function satisfies a flow equatio...
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| Veröffentlicht in: | The journal of high energy physics 2020-07, Vol.2020 (7) |
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| container_title | The journal of high energy physics |
| container_volume | 2020 |
| creator | Ireland, Aurora Shyam, Vasudev |
| description | A
bstract
We consider the
T
T
¯
deformation of two dimensional Yang-Mills theory on general curved backgrounds. We compute the deformed partition function through an integral transformation over frame fields weighted by a Gaussian kernel. We show that this partition function satisfies a flow equation which has been derived previously in the literature, which now holds on general backgrounds. We connect ambiguities associated to first derivative terms in the flow equation to the normalization of the functional integral over frame fields. We then compute the entanglement entropy for a general state in the theory. The connection to the string theoretic description of the theory is also investigated. |
| doi_str_mv | 10.1007/JHEP07(2020)058 |
| format | Article |
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bstract
We consider the
T
T
¯
deformation of two dimensional Yang-Mills theory on general curved backgrounds. We compute the deformed partition function through an integral transformation over frame fields weighted by a Gaussian kernel. We show that this partition function satisfies a flow equation which has been derived previously in the literature, which now holds on general backgrounds. We connect ambiguities associated to first derivative terms in the flow equation to the normalization of the functional integral over frame fields. We then compute the entanglement entropy for a general state in the theory. The connection to the string theoretic description of the theory is also investigated.</description><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP07(2020)058</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Classical and Quantum Gravitation ; Deformation ; Elementary Particles ; Entanglement ; Fields (physics) ; Flow equations ; High energy physics ; Integral transforms ; Partitions (mathematics) ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; String Theory ; Yang-Mills theory</subject><ispartof>The journal of high energy physics, 2020-07, Vol.2020 (7)</ispartof><rights>The Author(s) 2020</rights><rights>The Author(s) 2020.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/JHEP07(2020)058$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/JHEP07(2020)058$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,777,781,861,27905,27906,41101,42170,51557</link.rule.ids></links><search><creatorcontrib>Ireland, Aurora</creatorcontrib><creatorcontrib>Shyam, Vasudev</creatorcontrib><title>TT¯ deformed YM2 on general backgrounds from an integral transformation</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We consider the
T
T
¯
deformation of two dimensional Yang-Mills theory on general curved backgrounds. We compute the deformed partition function through an integral transformation over frame fields weighted by a Gaussian kernel. We show that this partition function satisfies a flow equation which has been derived previously in the literature, which now holds on general backgrounds. We connect ambiguities associated to first derivative terms in the flow equation to the normalization of the functional integral over frame fields. We then compute the entanglement entropy for a general state in the theory. The connection to the string theoretic description of the theory is also investigated.</description><subject>Classical and Quantum Gravitation</subject><subject>Deformation</subject><subject>Elementary Particles</subject><subject>Entanglement</subject><subject>Fields (physics)</subject><subject>Flow equations</subject><subject>High energy physics</subject><subject>Integral transforms</subject><subject>Partitions (mathematics)</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Regular Article - Theoretical Physics</subject><subject>Relativity Theory</subject><subject>String Theory</subject><subject>Yang-Mills theory</subject><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNpFkL1OwzAUhS0kJEphZrXEAkPg2o5_MqKqNKAiGMLAFDmJHaW0drDT5-IdeDISBYnpDuc750ofQlcE7giAvH_O128gbyhQuAWuTtCCAM0SlcrsDJ3HuAMgnGSwQHlR_HzjxlgfDqbBHy8Ue4db40zQe1zp-rMN_uiaiG3wB6wd7txg2ikcgnZx6umh8-4CnVq9j-by7y7R--O6WOXJ9nXztHrYJj1hmUqk5WltGxAiVTU1QkipVaVTRkApzjNGK6t4pUzFmciUYFyIRhJdC0ZNaixbout5tw_-62jiUO78MbjxZUlTSoFQAWqkYKZiHzrXmvBPESgnR-XsqJwclaMj9gtgaVr9</recordid><startdate>20200701</startdate><enddate>20200701</enddate><creator>Ireland, Aurora</creator><creator>Shyam, Vasudev</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</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></search><sort><creationdate>20200701</creationdate><title>TT¯ deformed YM2 on general backgrounds from an integral transformation</title><author>Ireland, Aurora ; Shyam, Vasudev</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p1398-7f54cfd06648c2e6677a8ba43108855932bf85b8eb5369863566d71ac632e4ef3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Deformation</topic><topic>Elementary Particles</topic><topic>Entanglement</topic><topic>Fields (physics)</topic><topic>Flow equations</topic><topic>High energy physics</topic><topic>Integral transforms</topic><topic>Partitions (mathematics)</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Regular Article - Theoretical Physics</topic><topic>Relativity Theory</topic><topic>String Theory</topic><topic>Yang-Mills theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ireland, Aurora</creatorcontrib><creatorcontrib>Shyam, Vasudev</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</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 Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</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><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ireland, Aurora</au><au>Shyam, Vasudev</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>TT¯ deformed YM2 on general backgrounds from an integral transformation</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2020-07-01</date><risdate>2020</risdate><volume>2020</volume><issue>7</issue><eissn>1029-8479</eissn><abstract>A
bstract
We consider the
T
T
¯
deformation of two dimensional Yang-Mills theory on general curved backgrounds. We compute the deformed partition function through an integral transformation over frame fields weighted by a Gaussian kernel. We show that this partition function satisfies a flow equation which has been derived previously in the literature, which now holds on general backgrounds. We connect ambiguities associated to first derivative terms in the flow equation to the normalization of the functional integral over frame fields. We then compute the entanglement entropy for a general state in the theory. The connection to the string theoretic description of the theory is also investigated.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP07(2020)058</doi><oa>free_for_read</oa></addata></record> |
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| identifier | EISSN: 1029-8479 |
| ispartof | The journal of high energy physics, 2020-07, Vol.2020 (7) |
| issn | 1029-8479 |
| language | eng |
| recordid | cdi_proquest_journals_2422012608 |
| source | DOAJ Directory of Open Access Journals; Springer Nature OA Free Journals; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection |
| subjects | Classical and Quantum Gravitation Deformation Elementary Particles Entanglement Fields (physics) Flow equations High energy physics Integral transforms Partitions (mathematics) Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory Yang-Mills theory |
| title | TT¯ deformed YM2 on general backgrounds from an integral transformation |
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