Fermionic Casimir effect for parallel plates in the presence of compact dimensions with applications to nanotubes - High Energy Physics - TheoryReportar como inadecuado




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Abstract: We evaluate the Casimir energy and force for a massive fermionic field in thegeometry of two parallel plates on background of Minkowski spacetime with anarbitrary number of toroidally compactified spatial dimensions. The bagboundary conditions are imposed on the plates and periodicity conditions witharbitrary phases are considered along the compact dimensions. The Casimirenergy is decomposed into purely topological, single plate and interactionparts. With independence of the lengths of the compact dimensions and thephases in the periodicity conditions, the interaction part of the Casimirenergy is always negative. In order to obtain the resulting force, thecontributions from both sides of the plates must be taken into account. Then,the forces coming from the topological parts of the vacuum energy cancel outand only the interaction term contributes to the Casimir force. Applications ofthe general formulae to Kaluza-Klein type models and carbon nanotubes aregiven. In particular, we show that for finite length metallic nanotubes theCasimir forces acting on the tube edges are always attractive, whereas forsemiconducting-type ones they are attractive for small lengths of the nanotubeand repulsive for large lengths.



Autor: S. Bellucci, A. A. Saharian

Fuente: https://arxiv.org/







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