Critical behaviour of the fuzzy sphere

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

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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_bar = 4/3 and that the peak in the specific heat grows with exponent ω_bar = 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_bar = 1.41 ± 0.08 and ω_bar = 0.66 ± 0.08.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:30
Last Modified: 15 Dec 2022 20:36
Identification Number: DIAS-STP-13-10

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