2011/09/07 by Arkady A. Popov
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Geometry #Gravitation #Mathematical physics #Mathematics #Physics #Quantum #Quantum electrodynamics #Quantum gravity #Quantum mechanics #Relativity and Gravitational Theory #Renormalization #Scalar (mathematics) #Scalar field #Scalar field theory #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.84.064009
published as Physical Review D 84, 064009 (2011) · 7 pages
openalex publication_date 2011/09/07 · arxiv created 2011/11/15 · arxiv updated 2011/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A method is presented which allows for the renormalization of the self-potential for a scalar point charge at rest in static curved space-time. The method is suitable for the scalar field with arbitrary mass m and coupling to the scalar curvature. The asymptotic behavior of self-potential is obtained in the limit in which the Compton wavelength 1/m of the massive scalar field is much smaller than the characteristic scale of curvature of the background gravitational field. The self-force is calculated in this limit.