Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-03-03
Class. Quantum Grav. 28 (2011) 175020
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, 2 figures, the title was changed for a more adequate one, the abstract was rewritten, a few typos and minor grammar
Scientific paper
10.1088/0264-9381/28/17/175020
Total vacuum energy of some quantized fields in conical space with additional boundary conditions is calculated. These conditions are imposed on a cylindrical surface which is coaxial with the symmetry axis of conical space. The explicit form of the matching conditions depends on the field under consideration. In the case of electromagnetic field, the perfectly conducting boundary conditions or isorefractive matching conditions are imposed on the cylindrical surface. For a massless scalar field, the semi-transparent conditions ($\delta$-potential) on the cylindrical shell are investigated. As a result, the total Casimir energy of electromagnetic field and scalar field, per a unit length along the symmetry axis, proves to be finite unlike the case of an infinitely thin cosmic string. In these studies the spectral zeta functions are widely used. It is shown briefly how to apply this technique for obtaining the asymptotics of the relevant thermodynamical functions in the high temperature limit.
Nesterenko V. V.
Pirozhenko Irina G.
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