### Abstract

The one-loop correction to the spectrum of Kaluza-Klein system for the φ^{3} model on ℝ^{1,d} × (double-struck T sign_{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 non-commutative 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 non-commutative 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 non commutative.

Original language | English |
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Pages (from-to) | 1-12 |

Number of pages | 12 |

Journal | Journal of High Energy Physics |

Volume | 4 |

Issue number | 11 |

Publication status | Published - 2000 Dec 1 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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## Cite this

*Journal of High Energy Physics*,

*4*(11), 1-12.