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Abstract: Total vacuum energy of some quantized fields in conical space with additionalboundary conditions is calculated. These conditions are imposed on acylindrical surface which is coaxial with the symmetry axis of conical space.The explicit form of the matching conditions depends on the field underconsideration. In the case of electromagnetic field, the perfectly conductingboundary conditions or isorefractive matching conditions are imposed on thecylindrical surface. For a massless scalar field, the semi-transparentconditions $\delta$-potential on the cylindrical shell are investigated. As aresult, the total Casimir energy of electromagnetic field and scalar field, pera unit length along the symmetry axis, proves to be finite unlike the case ofan infinitely thin cosmic string. In these studies the spectral zeta functionsare widely used. It is shown briefly how to apply this technique for obtainingthe asymptotics of the relevant thermodynamical functions in the hightemperature limit.



Autor: V.V. Nesterenko, I.G. Pirozhenko

Fuente: https://arxiv.org/







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