Casimir effect in 2+1 dimensional noncommutative theories

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dc.creatorFosco, C. D.
dc.creatorMoreno, G. A.
dc.date2007-11-27
dc.date.accessioned2026-07-07T11:13:24Z
dc.date.available2026-07-07T11:13:24Z
dc.descriptionWe 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 $R >> \sqrtθ$. Outside of that regime, the dependence of the energy with $R$ is substantially changed due to noncommutative corrections, becoming regular for $R \to 0$.
dc.description12 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0711.4272
dc.identifierhttp://arxiv.org/abs/0711.4272
dc.identifierPhys.Lett.B659:901-905,2008
dc.identifierdoi:10.1016/j.physletb.2007.12.015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191705
dc.subjectHigh Energy Physics - Theory
dc.titleCasimir effect in 2+1 dimensional noncommutative theories
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