Vacuum energy in a spherically symmetric background field

1996/05/15 by M. Bordag, Klaus Kirsten, K. Kirsten · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Energy (signal processing) #Field (mathematics) #Function (biology) #Geometry #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum gravity #Quantum mechanics #Renormalization #Scalar (mathematics) #Scalar field #Scalar field theory #Scattering #Simple (philosophy) #Theoretical physics #Vacuum energy #hep-th

paper · pdf · doi:10.1103/physrevd.53.5753

published as Phys.Rev.D53:5753-5760,1996 · 14 pages, 1 Postscript figure

openalex publication_date 1996/05/15 · arxiv created 1996/08/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The vacuum energy of a scalar field in a spherically symmetric background field is considered. It is expressed through the Jost function of the corresponding scattering problem. The renormalization is discussed in detail and performed using the uniform asymptotic expansion of the Jost function. The method is demonstrated in a simple explicit example.

Citations

• Magnetic monopoles in unified gauge theories
• Evaluation of the one-loop effective action at zero and finite temperature: Scalar fields
• A non-linear field theory
• One-loop corrections to the bubble nucleation rate at finite temperature

Cited by

• Casimir energies for massive scalar fields in a spherical geometry
• Wightman function and scalar Casimir densities for a wedge with two cylindrical boundaries