Casimir Force in Compact Noncommutative Extra Dimensions and Radius Stabilization

Details Casimir Force in Compact Noncommutative Extra Dimensions and Radius Stabilization Casimir Force in Compact Noncommutative Extra Dimensions and Radius Stabilization

2000-08-09

arxiv.org/abs/hep-th/0008083v1

JHEP 0010:044,2000

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, TeX, harvmac

Scientific paper

10.1088/1126-6708/2000/10/044

We compute the one loop Casimir energy of an interacting scalar field in a compact noncommutative space of $R^{1,d}\times T^2_\theta$, where we have ordinary flat $1+d$ dimensional Minkowski space and two dimensional noncommuative torus. We find that next order correction due to the noncommutativity still contributes an attractive force and thus will have a quantum instability. However, the case of vector field in a periodic boundary condition gives repulsive force for $d>5$ and we expect a stabilized radius. This suggests a stabilization mechanism for a senario in Kaluza-Klein theory, where some of the extra dimensions are noncommutative.

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