Article ID Journal Published Year Pages File Type
10725957 Physics Letters B 2008 5 Pages PDF
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 R≫θ. Outside of that regime, the dependence of the energy with R is substantially changed due to noncommutative corrections, becoming regular for R→0.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Nuclear and High Energy Physics
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