MURAL - Maynooth University Research Archive Library



    Pressure and Compressibility of Conformal Field Theories from the AdS/CFT Correspondence


    Dolan, Brian P. (2016) Pressure and Compressibility of Conformal Field Theories from the AdS/CFT Correspondence. Entropy, 18 (5). p. 169. ISSN 1099-4300

    [img]
    Preview
    Download (322kB) | Preview


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    Abstract

    The equation of state associated with N=4 supersymmetric Yang–Mills in four dimensions, for SU(N) in the large N limit, is investigated using the AdS/CFT correspondence. An asymptotically AdS black-hole on the gravity side provides a thermal background for the Yang–Mills theory on the boundary in which the cosmological constant is equivalent to a volume. The thermodynamic variable conjugate to the cosmological constant is a pressure, and the P−V diagram of the quark-gluon plasma is studied. It is known that there is a critical point where the heat capacity diverges, and this is reflected in the isothermal compressibility. Critical exponents are derived and found to be mean field in the large N limit. The same analysis applied to three- and six-dimensional conformal field theories again yields mean field exponents associated with the compressibility at the critical point.

    Item Type: Article
    Additional Information: © 2016 by the author; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC-BY) license (http://creativecommons.org/licenses/by/4.0/).
    Keywords: black hole entropy; thermodynamic phase transitions; AdS/CFT; P - V criticality;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 10481
    Identification Number: https://doi.org/10.3390/e18050169
    Depositing User: Dr. Brian Dolan
    Date Deposited: 13 Feb 2019 16:30
    Journal or Publication Title: Entropy
    Publisher: MDPI
    Refereed: Yes
    URI:

      Repository Staff Only(login required)

      View Item Item control page

      Downloads

      Downloads per month over past year