Quantum Theories on Noncommutative Spaces with Nontrivial Topology: Aharonov-Bohm and Casimir Effects

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dc.creatorChaichian, M.
dc.creatorDemichev, A.
dc.creatorPresnajder, P.
dc.creatorSheikh-Jabbari, M. M.
dc.creatorTureanu, A.
dc.date2001-01-30
dc.date2001-07-07
dc.date.accessioned2026-07-07T10:53:30Z
dc.date.available2026-07-07T10:53:30Z
dc.descriptionAfter discussing the peculiarities of quantum systems on noncommutative (NC) spaces with non-trivial topology and the operator representation of the $\star$-product on them, we consider the Aharonov-Bohm and Casimir effects for such spaces. For the case of the Aharonov-Bohm effect, we have obtained an explicit expression for the shift of the phase, which is gauge invariant in the NC sense. The Casimir energy of a field theory on a NC cylinder is divergent, while it becomes finite on a torus, when the dimensionless parameter of noncommutativity is a rational number. The latter corresponds to a well-defined physical picture. Certain distinctions from other treatments based on a different way of taking the noncommutativity into account are also discussed.
dc.descriptionLatex file, 23 pages no figures, v2: typos removed, the version to appear in NPB. Reort No: HIP-2001-01/TH; IC/2001/3
dc.identifierhttps://arxiv.org/abs/hep-th/0101209
dc.identifierhttp://arxiv.org/abs/hep-th/0101209
dc.identifierNucl.Phys.B611:383-402,2001
dc.identifierdoi:10.1016/S0550-3213(01)00348-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185506
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum Theories on Noncommutative Spaces with Nontrivial Topology: Aharonov-Bohm and Casimir Effects
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