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Finite-Temperature Casimir Effect on the Radius Stabilization of Noncommutative Torus

Wung-Hong Huang
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Abstract

The one-loop correction to the spectrum of Kaluza-Klein system for the $ϕ^3$ model on $R^{1,d}\times (T_θ^2)^L$ is evaluated in the high temperature limit, where the $1+d$ dimensions are the ordinary flat Minkowski spacetimes and the $L$ extra two-dimensional tori are chosen to be the noncommutative torus with noncommutativity $θ$. The corrections to the Kaluza-Klein mass formula are evaluated and used to compute the Casimir energy with the help of the Schwinger perturbative formula in the zeta-function regularization method. The results show that the one-loop Casimir energy is independent of the radius of torus if L=1. However, when $L>1$ the Casimir energy could give repulsive force to stabilize the extra noncommutative torus if $d-L$ is a non-negative even integral. This therefore suggests a possible stabilization mechanism of extra radius in high temperature, when the extra spaces are noncommutative.

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Wung-Hong Huang. 2000-11-07. Finite-Temperature Casimir Effect on the Radius Stabilization of Noncommutative Torus. https://doi.org/10.1088/1126-6708%2F2000%2F11%2F041

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