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arXiv · hep-th/0203176

Quantum Stabilization of Compact Space by Extra Fuzzy Space

Wung-Hong Huang
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Abstract

We investigate the quantized scalar field on the Kaluza-Klein spacetimes of $M^D\times T^d \times S_{FZ}$, where $M^D$ is the ordinary $D$ dimensional flat Minkowski spacetimes, $T^d $ is the $d$ dimensional commutative torus, and $S_{FZ}$ is a noncommutative fuzzy two sphere with a fixed quantized radius. After evaluating the one-loop correction to the spectrum we use the mass-corrected term to compute the Casimir energy of the scalar field on the model spacetime. It is seen that, for some values of $D$ and $d$, the Casimir energy due to vacuum fluctuation in the model spacetimes could give rise a repulsive force to stabilize the commutative torus.

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Wung-Hong Huang. 2002-04-30. Quantum Stabilization of Compact Space by Extra Fuzzy Space. https://doi.org/10.1016/s0370-2693(02)01915-9

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