Finite temperature phase transition of a single scalar field on a fuzzy sphere

Details Finite temperature phase transition of a single scalar field on a fuzzy sphere Finite temperature phase transition of a single scalar field on a fuzzy sphere

2007-06-05

arxiv.org/abs/0706.0695v2

Mod.Phys.Lett.A23:1781-1791,2008

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 16 figures

Scientific paper

10.1142/S0217732308025656

We study finite temperature phase transition of neutral scalar field on a fuzzy sphere using Monte Carlo simulations. We work with the zero mode in the temporal directions, while the effects of the higher modes are taken care by the temperature dependence of r. In the numerical calculations we use "pseudo-heatbath" method which reduces the auto-correlation considerably. Our results agree with the conventional calculations. We report some new results which show the presence of meta-stable states and also suggest that for suitable choice of parameters the symmetry breaking transition is of first order.

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