Finite temperature phase transition of a single scalar field on a fuzzy sphere
High Energy Physics - Theory
2008-07-28 v2 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
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.
Keywords
Cite
@article{arxiv.0706.0695,
title = {Finite temperature phase transition of a single scalar field on a fuzzy sphere},
author = {C. R. Das and S. Digal and T. R. Govindarajan},
journal= {arXiv preprint arXiv:0706.0695},
year = {2008}
}
Comments
10 pages, 16 figures