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Casimir Effect for Gauge Fields in Spaces with Negative Constant Curvature

A. A. Bytsenko·M. E. X. Guimaraes·V. S. Mendes
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Abstract

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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A. A. Bytsenko, M. E. X. Guimaraes, V. S. Mendes. 2005-01-03. Casimir Effect for Gauge Fields in Spaces with Negative Constant Curvature. https://doi.org/10.1140/epjc%2Fs2004-02080-3

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