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On the phases of strongly coupled gauge theories from holography. / James M Rafferty

Swansea University Author: James M Rafferty

Abstract

In this thesis we extract properties of strongly coupled quantum field theories using holography. Firstly, we compute the real time two point correlation functions of N = 4 supersymmetric Yang-Mills theory on dS3 x S1 with antiperiodic boundary conditions for fermions on the circle. When the circle...

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Published: 2011
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42707
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spelling 2018-08-02T16:24:30.1802054 v2 42707 2018-08-02 On the phases of strongly coupled gauge theories from holography. 602c975e9e999160a42f0bcf7084a293 NULL James M Rafferty James M Rafferty true true 2018-08-02 In this thesis we extract properties of strongly coupled quantum field theories using holography. Firstly, we compute the real time two point correlation functions of N = 4 supersymmetric Yang-Mills theory on dS3 x S1 with antiperiodic boundary conditions for fermions on the circle. When the circle radius is large, the dual geometry is the topological AdS5 black hole. Here it is possible to solve the wave equations dual to the scalar glueball and R-charge current operators and therefore the correlation functions can be calculated exactly in the limit of large N and strong coupling. Below the critical radius for the circle the topological black hole decays to the AdS bubble of nothing. Here we compute the glueball correlation function in the WKB approximation and find poles on the real axis, indicating stable bound states. The tunnelling from the topological black hole to the bubble is interpreted as a hadronization transition. In the second part we investigate three holographic theories with an imaginary chemical potential: N = 4 supersymmetric Yang-Mills coupled to fundamental flavours in the probe approximation, the same theory with flavours confined to a codimension k defect and the Sakai-Sugimoto model. There is an infinite; series of Roberge-Weiss transitions at high temperature in each of these models and a phase transition which occurs as a result of the presence of flavours in the high temperature phase. We show the latter phase transition is first order for all three models and hence it meets the Roberge-Weiss lines at triple points. We also compute the pressure due to flavours and find for both models dual to type IIB supergravity solutions it scales in a way expected from dimensional analysis. The Sakai-Sugimoto model exhibits unusual scaling. We show the models we consider are analytic in mu2 when is mu2 small. E-Thesis Theoretical physics.;Quantum physics. 31 12 2011 2011-12-31 COLLEGE NANME Physics COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:30.1802054 2018-08-02T16:24:30.1802054 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics James M Rafferty NULL 1 0042707-02082018162515.pdf 10807476.pdf 2018-08-02T16:25:15.6400000 Output 9281329 application/pdf E-Thesis true 2018-08-02T16:25:15.6400000 false
title On the phases of strongly coupled gauge theories from holography.
spellingShingle On the phases of strongly coupled gauge theories from holography.
James M Rafferty
title_short On the phases of strongly coupled gauge theories from holography.
title_full On the phases of strongly coupled gauge theories from holography.
title_fullStr On the phases of strongly coupled gauge theories from holography.
title_full_unstemmed On the phases of strongly coupled gauge theories from holography.
title_sort On the phases of strongly coupled gauge theories from holography.
author_id_str_mv 602c975e9e999160a42f0bcf7084a293
author_id_fullname_str_mv 602c975e9e999160a42f0bcf7084a293_***_James M Rafferty
author James M Rafferty
author2 James M Rafferty
format E-Thesis
publishDate 2011
institution Swansea University
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 In this thesis we extract properties of strongly coupled quantum field theories using holography. Firstly, we compute the real time two point correlation functions of N = 4 supersymmetric Yang-Mills theory on dS3 x S1 with antiperiodic boundary conditions for fermions on the circle. When the circle radius is large, the dual geometry is the topological AdS5 black hole. Here it is possible to solve the wave equations dual to the scalar glueball and R-charge current operators and therefore the correlation functions can be calculated exactly in the limit of large N and strong coupling. Below the critical radius for the circle the topological black hole decays to the AdS bubble of nothing. Here we compute the glueball correlation function in the WKB approximation and find poles on the real axis, indicating stable bound states. The tunnelling from the topological black hole to the bubble is interpreted as a hadronization transition. In the second part we investigate three holographic theories with an imaginary chemical potential: N = 4 supersymmetric Yang-Mills coupled to fundamental flavours in the probe approximation, the same theory with flavours confined to a codimension k defect and the Sakai-Sugimoto model. There is an infinite; series of Roberge-Weiss transitions at high temperature in each of these models and a phase transition which occurs as a result of the presence of flavours in the high temperature phase. We show the latter phase transition is first order for all three models and hence it meets the Roberge-Weiss lines at triple points. We also compute the pressure due to flavours and find for both models dual to type IIB supergravity solutions it scales in a way expected from dimensional analysis. The Sakai-Sugimoto model exhibits unusual scaling. We show the models we consider are analytic in mu2 when is mu2 small.
published_date 2011-12-31T03:53:29Z
_version_ 1763752657425530880
score 11.0241995

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