2004/12/22 by A. A. Bytsenko, M. E. X. Guimaraes, M. E. X. Guimarães +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th
paper · pdf · doi:10.1140/epjc/s2004-02080-3
published as Eur.Phys.J. C39 (2005) 249-252 · 5 pages, no figures. To appear in The European Physical Journal C - Particles and Fields
openalex publication_date 2004/12/22 · arxiv created 2005/01/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.