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    Critical Behaviour of the Fuzzy sphere


    O’Connor, Denjoe and Dolan, Brian P. (2013) Critical Behaviour of the Fuzzy sphere. Working Paper. National University of Ireland Maynooth.

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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 = 1 2 , shift exponent  = 4 3 and that the peak in the specific heat grows with exponent ! = 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 = 0.50 ± 0.01,  = 1.41 ± 0.08 and ! = 0.66 ± 0.08.

    Item Type: Monograph (Working Paper)
    Keywords: Critical Behaviour; Fuzzy sphere; multi-matrix model;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 4451
    Depositing User: Dr. Brian Dolan
    Date Deposited: 03 Sep 2013 14:03
    Publisher: National University of Ireland Maynooth
    Refereed: Yes
    URI:

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