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    Critical behaviour of the fuzzy sphere


    O'Connor, Denjoe and Dolan, Brian P. and Vachovski, Martin Petrov (2013) Critical behaviour of the fuzzy sphere. Journal of High Energy Physics, 12 (085). pp. 1-28. ISSN 1029-8479

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    Abstract

    We study a multi-matrix model whose low temperature phase is a fuzzy sphere that undergoes an evaporation transition as the temperature is increased. We investigate finite size scaling of the system as the limiting temperature of stability of the fuzzy sphere phase is approached. We find on theoretical grounds that the system should obey scaling with specific heat exponent α = 1 2 , shift exponent λ = 4 3 and that the peak in the specific heat grows with exponent ω = 2 3 . Using hybrid Monte Carlo simulations we find good collapse of specific heat data consistent with a scaling ansatz which give our best estimates for the scaling exponents as α = 0.50 ± 0.01, λ = 1.41 ± 0.08 and ω = 0.66 ± 0.08.

    Item Type: Article
    Additional Information: This article is distributed under the creative commons license CC-BY 4.0 (http://creativecommons.org/licenses/by/4.0/) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
    Keywords: Matrix Models; Non-Commutative Geometry; M(atrix) Theories; Nonperturbative Effects;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 5813
    Identification Number: https://doi.org/10.1007/JHEP12(2013)085
    Depositing User: Dr. Brian Dolan
    Date Deposited: 11 Feb 2015 15:07
    Journal or Publication Title: Journal of High Energy Physics
    Publisher: Springer (for SISSA)
    Refereed: Yes
    URI:

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