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Casimir energies for spherically symmetric cavities

Guido Cognola1, Emilio Elizalde2,3,4 and Klaus Kirsten5,6

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A general calculation of Casimir energies - in an arbitrary number of dimensions - for massless quantized fields in spherically symmetric cavities is carried out. All the most common situations, including scalar and spinor fields, the electromagnetic field and various boundary conditions are treated with the uppermost accuracy. The final results are given as analytical, closed expressions in terms of Barnes zeta functions. A direct numerical evaluation of the formulae is then performed, which yields highly accurate numbers of, in principle, arbitrarily good precision.


PACS

12.20.-m Quantum electrodynamics

02.10.De Algebraic structures and number theory

12.38.-t Quantum chromodynamics

12.39.Ba Bag model

MSC

11M41 Other Dirichlet series and zeta functions (For local and global ground fields, see 11R42, 11R52, 11S40, 11S45; for algebro-geometric methods, see 14G10; see also 11E45, 11F66, 11F70, 11F72)

81V10 Electromagnetic interaction; quantum electrodynamics

81V05 Strong interaction, including quantum chromodynamics

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 36 (14 September 2001)

Received 12 June 2001

Published 31 August 2001



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