Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10725957 | Physics Letters B | 2008 | 5 Pages |
Abstract
We study the Dirichlet Casimir effect for a complex scalar field on two noncommutative spatial coordinates plus a commutative time. To that end, we introduce Dirichlet-like boundary conditions on a curve contained in the spatial plane, in such a way that the correct commutative limit can be reached. We evaluate the resulting Casimir energy for two different curves: (a) Two parallel lines separated by a distance L, and (b) a circle of radius R. In the first case, the resulting Casimir energy agrees exactly with the one corresponding to the commutative case, regardless of the values of L and of the noncommutativity scale θ, while for the latter the commutative behaviour is only recovered when Râ«Î¸. Outside of that regime, the dependence of the energy with R is substantially changed due to noncommutative corrections, becoming regular for Râ0.
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Authors
C.D. Fosco, G.A. Moreno,