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arXiv · hep-th/0010160

Casimir Effect on the Radius Stabilization of the Noncommutative Torus

Wung-Hong Huang
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Abstract

We evaluate the one-loop correction to the spectrum of Kaluza-Klein system for the $ϕ^3$ model on $R^{1,d}\times (T_θ^2)^L$, where $1+d$ dimensions are the ordinary flat Minkowski spacetimes and the extra dimensions are the L two-dimensional noncommutative tori with noncommutativity $θ$. 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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Wung-Hong Huang. 2000-11-16. Casimir Effect on the Radius Stabilization of the Noncommutative Torus. https://doi.org/10.1016/s0370-2693(00)01352-6

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