Thermodynamic Behavior of Fuzzy Membranes in PP-Wave Matrix Model

Details Thermodynamic Behavior of Fuzzy Membranes in PP-Wave Matrix Model Thermodynamic Behavior of Fuzzy Membranes in PP-Wave Matrix Model

2005-07-04

arxiv.org/abs/hep-th/0507029v1

Phys.Lett. B627 (2005) 188-196

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 4 figures, LaTeX

Scientific paper

10.1016/j.physletb.2005.09.007

We discuss a two-body interaction of membrane fuzzy spheres in a pp-wave matrix model at finite temperature by considering a fuzzy sphere rotates with a constant radius r around the other one sitting at the origin in the SO(6) symmetric space. This system of two fuzzy spheres is supersymmetric at zero temperature and there is no interaction between them. Once the system is coupled to the heat bath, supersymmetries are completely broken and non-trivial interaction appears. We numerically show that the potential between fuzzy spheres is attractive and so the rotating fuzzy sphere tends to fall into the origin. The analytic formula of the free energy is also evaluated in the large N limit. It is well approximated by a polylog-function.

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