1993/04/21 by Klaus Kirsten, Guido Cognola, Luciano Vanzo · 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.48.2813
published as Phys.Rev. D48 (1993) 2813-2822 · 14 pages, LaTex, UTF 293
arxiv created 1993/04/21 · openalex publication_date 1993/09/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a self-interacting scalar field theory in a slowly varying gravitational background field. Using \ensuremathζ-function regularization and heat-kernel techniques, we derive the one-loop effective Lagrangian up to second order in the variation of the background field and up to quadratic terms in the curvature tensors. Specializing to different spacetimes of physical interest, the influence of the curvature on the phase transition is considered.