Casimir Effect for Gauge Fields in Spaces with Negative Constant Curvature

Details Casimir Effect for Gauge Fields in Spaces with Negative Constant Curvature Casimir Effect for Gauge Fields in Spaces with Negative Constant Curvature

2005-01-03

arxiv.org/abs/hep-th/0501009v1

Eur.Phys.J. C39 (2005) 249-252

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, no figures. To appear in The European Physical Journal C - Particles and Fields

Scientific paper

10.1140/epjc/s2004-02080-3

We consider gauge theories based on abelian $p-$forms on real compact hyperbolic spaces. Using the zeta-function regularization method and the trace tensor kernel formula, we determine explicitly an expression for the vacuum energy (Casimir energy) corresponding to skew-symmetric tensor fields. It is shown that the topological component of the Casimir energy for co-exact forms on even-dimensional spaces, associated with the trivial character, is always negative. We infer on the possible cosmological consequences of this result.

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