Casimir Effect on the Radius Stabilization of the Noncommutative Torus

Details Casimir Effect on the Radius Stabilization of the Noncommutative Torus Casimir Effect on the Radius Stabilization of the Noncommutative Torus

2000-10-19

arxiv.org/abs/hep-th/0010160v5

Phys.Lett. B497 (2001) 317-322

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 11pages

Scientific paper

10.1016/S0370-2693(00)01352-6

We evaluate the one-loop correction to the spectrum of Kaluza-Klein system for the $\phi^3$ model on $R^{1,d}\times (T_\theta^2)^L$, where $1+d$ dimensions are the ordinary flat Minkowski spacetimes and the extra dimensions are the L two-dimensional noncommutative tori with noncommutativity $\theta$. The correction to the Kaluza-Klein mass spectrum is then used to compute the Casimir energy. The results show that when $L>2$ the Casimir energy due to the noncommutativity could give repulsive force to stabilize the extra noncommutative tori in the cases of $d = 4n - 2$, with $n$ a positive integral.

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