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Real time response on dS3: the topological AdS black hole and the bubble

Jimmy A Hutasoit, Prem Kumar Orcid Logo, Jim Rafferty Orcid Logo

Journal of High Energy Physics, Volume: 2009, Issue: 04, Pages: 063 - 063

Swansea University Authors: Prem Kumar Orcid Logo, Jim Rafferty Orcid Logo

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DOI (Published version): 10.1088/1126-6708/2009/04/063

Abstract

<p>We study real time correlators in strongly coupled <img src="http://ej.iop.org/icons/Entities/calN.gif" alt="Script N" align="BASELINE" /> = 4 supersymmetric Yang-Mills theory on <em>dS</em><sub&...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2009
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URI: https://cronfa.swan.ac.uk/Record/cronfa1136
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fullrecord <?xml version="1.0"?><rfc1807><datestamp>2020-07-16T14:34:41.5894089</datestamp><bib-version>v2</bib-version><id>1136</id><entry>2012-02-23</entry><title>Real time response on dS3: the topological AdS black hole and the bubble</title><swanseaauthors><author><sid>087fd097167d724ce1b13cb285741ef5</sid><ORCID>0000-0003-0867-4213</ORCID><firstname>Prem</firstname><surname>Kumar</surname><name>Prem Kumar</name><active>true</active><ethesisStudent>false</ethesisStudent></author><author><sid>52effe759a718bd36eb12cdd10fe1a09</sid><ORCID>0000-0002-1667-7265</ORCID><firstname>Jim</firstname><surname>Rafferty</surname><name>Jim Rafferty</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2012-02-23</date><deptcode>SPH</deptcode><abstract>&amp;#60;p&amp;#62;We study real time correlators in strongly coupled&#xA0;&amp;#60;img src="http://ej.iop.org/icons/Entities/calN.gif" alt="Script N" align="BASELINE" /&amp;#62;&#xA0;= 4 supersymmetric Yang-Mills theory on&#xA0;&amp;#60;em&amp;#62;dS&amp;#60;/em&amp;#62;&amp;#60;sub&amp;#62;3&amp;#60;/sub&amp;#62;&#xA0;&amp;#60;strong&amp;#62;&#xD7;&amp;#60;/strong&amp;#62;&#xA0;&amp;#60;em&amp;#62;S&amp;#60;/em&amp;#62;&amp;#60;sup&amp;#62;1&amp;#60;/sup&amp;#62;, with antiperiodic boundary conditions for fermions on the circle. When the circle radius is larger than a critical value, the dual geometry is the so-called ``topological&#xA0;&amp;#60;em&amp;#62;AdS&amp;#60;/em&amp;#62;&amp;#60;sub&amp;#62;5&amp;#60;/sub&amp;#62;&#xA0;black hole''. Applying the Son-Starinets recipe in this background we compute retarded glueball propagators which exhibit an infinite set of poles yielding the quasinormal frequencies of the topological black hole. The imaginary parts of the propagators exhibit thermal effects associated with the Gibbons-Hawking temperature due to the cosmological horizon of the de Sitter boundary. We also obtain R-current correlators and find that after accounting for a small subtlety, the Son-Starinets prescription yields the retarded Green's functions. The correlators do not display diffusive behaviour at late times. Below the critical value of the circle radius, the topological black hole decays to the&#xA0;&amp;#60;em&amp;#62;AdS&amp;#60;/em&amp;#62;&amp;#60;sub&amp;#62;5&amp;#60;/sub&amp;#62;&#xA0;``bubble of nothing''. Using a high frequency WKB approximation, we show that glueball correlators in this phase exhibit poles on the real axis. The tunnelling from the black hole to the bubble is interpreted as a hadronization transition.&amp;#60;/p&amp;#62;</abstract><type>Journal Article</type><journal>Journal of High Energy Physics</journal><volume>2009</volume><journalNumber>04</journalNumber><paginationStart>063</paginationStart><paginationEnd>063</paginationEnd><publisher/><issnPrint>1029-8479</issnPrint><keywords/><publishedDay>30</publishedDay><publishedMonth>4</publishedMonth><publishedYear>2009</publishedYear><publishedDate>2009-04-30</publishedDate><doi>10.1088/1126-6708/2009/04/063</doi><url/><notes/><college>COLLEGE NANME</college><department>Physics</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>SPH</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2020-07-16T14:34:41.5894089</lastEdited><Created>2012-02-23T17:01:56.0000000</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>Jimmy A</firstname><surname>Hutasoit</surname><order>1</order></author><author><firstname>Prem</firstname><surname>Kumar</surname><orcid>0000-0003-0867-4213</orcid><order>2</order></author><author><firstname>Jim</firstname><surname>Rafferty</surname><orcid>0000-0002-1667-7265</orcid><order>3</order></author></authors><documents/><OutputDurs/></rfc1807>
spelling 2020-07-16T14:34:41.5894089 v2 1136 2012-02-23 Real time response on dS3: the topological AdS black hole and the bubble 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 52effe759a718bd36eb12cdd10fe1a09 0000-0002-1667-7265 Jim Rafferty Jim Rafferty true false 2012-02-23 SPH &#60;p&#62;We study real time correlators in strongly coupled &#60;img src="http://ej.iop.org/icons/Entities/calN.gif" alt="Script N" align="BASELINE" /&#62; = 4 supersymmetric Yang-Mills theory on &#60;em&#62;dS&#60;/em&#62;&#60;sub&#62;3&#60;/sub&#62; &#60;strong&#62;×&#60;/strong&#62; &#60;em&#62;S&#60;/em&#62;&#60;sup&#62;1&#60;/sup&#62;, with antiperiodic boundary conditions for fermions on the circle. When the circle radius is larger than a critical value, the dual geometry is the so-called ``topological &#60;em&#62;AdS&#60;/em&#62;&#60;sub&#62;5&#60;/sub&#62; black hole''. Applying the Son-Starinets recipe in this background we compute retarded glueball propagators which exhibit an infinite set of poles yielding the quasinormal frequencies of the topological black hole. The imaginary parts of the propagators exhibit thermal effects associated with the Gibbons-Hawking temperature due to the cosmological horizon of the de Sitter boundary. We also obtain R-current correlators and find that after accounting for a small subtlety, the Son-Starinets prescription yields the retarded Green's functions. The correlators do not display diffusive behaviour at late times. Below the critical value of the circle radius, the topological black hole decays to the &#60;em&#62;AdS&#60;/em&#62;&#60;sub&#62;5&#60;/sub&#62; ``bubble of nothing''. Using a high frequency WKB approximation, we show that glueball correlators in this phase exhibit poles on the real axis. The tunnelling from the black hole to the bubble is interpreted as a hadronization transition.&#60;/p&#62; Journal Article Journal of High Energy Physics 2009 04 063 063 1029-8479 30 4 2009 2009-04-30 10.1088/1126-6708/2009/04/063 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T14:34:41.5894089 2012-02-23T17:01:56.0000000 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Jimmy A Hutasoit 1 Prem Kumar 0000-0003-0867-4213 2 Jim Rafferty 0000-0002-1667-7265 3
title Real time response on dS3: the topological AdS black hole and the bubble
spellingShingle Real time response on dS3: the topological AdS black hole and the bubble
Prem Kumar
Jim Rafferty
title_short Real time response on dS3: the topological AdS black hole and the bubble
title_full Real time response on dS3: the topological AdS black hole and the bubble
title_fullStr Real time response on dS3: the topological AdS black hole and the bubble
title_full_unstemmed Real time response on dS3: the topological AdS black hole and the bubble
title_sort Real time response on dS3: the topological AdS black hole and the bubble
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
52effe759a718bd36eb12cdd10fe1a09
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
52effe759a718bd36eb12cdd10fe1a09_***_Jim Rafferty
author Prem Kumar
Jim Rafferty
author2 Jimmy A Hutasoit
Prem Kumar
Jim Rafferty
format Journal article
container_title Journal of High Energy Physics
container_volume 2009
container_issue 04
container_start_page 063
publishDate 2009
institution Swansea University
issn 1029-8479
doi_str_mv 10.1088/1126-6708/2009/04/063
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 0
active_str 0
description &#60;p&#62;We study real time correlators in strongly coupled &#60;img src="http://ej.iop.org/icons/Entities/calN.gif" alt="Script N" align="BASELINE" /&#62; = 4 supersymmetric Yang-Mills theory on &#60;em&#62;dS&#60;/em&#62;&#60;sub&#62;3&#60;/sub&#62; &#60;strong&#62;×&#60;/strong&#62; &#60;em&#62;S&#60;/em&#62;&#60;sup&#62;1&#60;/sup&#62;, with antiperiodic boundary conditions for fermions on the circle. When the circle radius is larger than a critical value, the dual geometry is the so-called ``topological &#60;em&#62;AdS&#60;/em&#62;&#60;sub&#62;5&#60;/sub&#62; black hole''. Applying the Son-Starinets recipe in this background we compute retarded glueball propagators which exhibit an infinite set of poles yielding the quasinormal frequencies of the topological black hole. The imaginary parts of the propagators exhibit thermal effects associated with the Gibbons-Hawking temperature due to the cosmological horizon of the de Sitter boundary. We also obtain R-current correlators and find that after accounting for a small subtlety, the Son-Starinets prescription yields the retarded Green's functions. The correlators do not display diffusive behaviour at late times. Below the critical value of the circle radius, the topological black hole decays to the &#60;em&#62;AdS&#60;/em&#62;&#60;sub&#62;5&#60;/sub&#62; ``bubble of nothing''. Using a high frequency WKB approximation, we show that glueball correlators in this phase exhibit poles on the real axis. The tunnelling from the black hole to the bubble is interpreted as a hadronization transition.&#60;/p&#62;
published_date 2009-04-30T03:02:50Z
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score 11.016771

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