1998/07/05 by Yu. V. Gusev, Andrei Zelnikov, A. I Zelnikov
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Classical mechanics #Conformal map #Cosmology and Gravitation Theories #Covariant transformation #Curved space #Effective action #Geometry #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Perturbation theory (quantum mechanics) #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum field theory #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar field #Spacetime #Spinor #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.59.024002
published as Phys. Rev. D 59, 024002 (1998) · 32 pages, LaTeX
arxiv created 1998/07/05 · openalex publication_date 1998/12/03 · openalex created_date 2016/06/24 · arxiv updated 2016/08/24 · openalex updated_date 2026/08/05
Massless and massive scalar fields and massless spinor fields are considered at arbitrary temperatures in four dimensional ultrastatic curved spacetime. Scalar models under consideration can be either conformal or nonconformal and include self-interaction. The one-loop nonlocal effective action at finite temperature and free energy for these quantum fields are found up to the second order in background field strengths using the covariant perturbation theory. The resulting expressions are free of infrared divergences. Spectral representations for nonlocal terms of high temperature expansions are obtained.