Spherical Universe topology and the Casimir effect

Details Spherical Universe topology and the Casimir effect Spherical Universe topology and the Casimir effect

2004-04-13

arxiv.org/abs/hep-th/0404093v2

Class.Quant.Grav. 21 (2004) 4247-4272

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 1 figure. Typos corrected and one reference added

Scientific paper

10.1088/0264-9381/21/17/012

The mode problem on the factored 3--sphere is applied to field theory calculations for massless fields of spin 0, 1/2 and 1. The degeneracies on the factors, including lens spaces, are neatly derived in a geometric fashion. Vacuum energies are expressed in terms of the polyhedral degrees and equivalent expressions given using the cyclic decomposition of the covering group. Scalar functional determinants are calculated and the spectral asymmetry function treated by the same approach with explicit forms on one-sided lens spaces.

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