2001/10/24 by M. Bordag, Klaus Kirsten, K. Kirsten · 2 citations
Physics and Astronomy · #Ball (mathematics) #Casimir effect #Casimir pressure #Dielectric #Dielectric permittivity #Electromagnetic field #Experimental and Theoretical Physics Studies #Ground state #Heat kernel #Inverse #Kernel (algebra) #Mathematical analysis #Permittivity #Physics #Pure mathematics #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #Quantum electrodynamics #Quantum mechanics #hep-th
paper · pdf · doi:10.1142/s0217751x02010170
published as Int.J.Mod.Phys.A17:813-819,2002 · 8 pages, Contribution to the 5th Workshop on Quantum Field Theory under the Influence of External Conditions, Leipzig, Germany, 10-14 Sep 2001
arxiv created 2001/10/24 · openalex publication_date 2002/03/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The first heat kernel coefficients are calculated for a dispersive ball whose permittivity at high frequency differs from unity by inverse powers of the frequency. The corresponding divergent part of the vacuum energy of the electromagnetic field is given and ultraviolet divergencies are seen to be present. Also in a model where the number of atoms is fixed the pressure exhibits infinities. As a consequence, the ground-state energy for a dispersive dielectric ball cannot be interpreted easily.