2003/09/30 by Guido Cognola, Sergio Zerbini · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #hep-th
paper · pdf · doi:10.1103/physrevd.69.024004
published as Phys.Rev. D69 (2004) 024004 · Latex, 16 pages, no figures; Latex mistakes corrected; accepted for publication in Physical Review D
arxiv created 2003/10/03 · openalex publication_date 2004/01/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Motivated by the study of quantum fields in a Friedmann-Robertson-Walker space-time, the one-loop effective action for a scalar field defined in the ultrastatic manifold R\ifmmode×\else\texttimes\fiH3/\ensuremathΓ, H3/\ensuremathΓ being the finite volume, noncompact, hyperbolic spatial section, is investigated by a generalization of zeta-function regularization. It is shown that additional divergences may appear at the one-loop level. The one-loop renormalizability of the model is discussed and, making use of a generalization of zeta-function regularization, the one-loop renormalization group equations are derived.