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Influence of a Magnetic Fluxon on the Vacuum Energy of Quantum Fields Confined by a Bag

1996/12/11 by S. Leseduarte, August Romeo · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #hep-th

paper · pdf · doi:10.1007/s002200050331

published as Commun.Math.Phys. 193 (1998) 317-336

arxiv created 1996/12/11 · openalex publication_date 1998/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the simultaneous influence of boundary conditions and external fields on quantum fluctuations by considering vacuum zero-point energies for quantum fields in the presence of a magnetic fluxon confined by a bag, circular and spherical for bosons and circular for fermions. The Casimir effect is calculated in a generalized cut-off regularization after applying zeta-function techniques to eigenmode sums and using recent techniques about Bessel zeta functions at negative arguments.

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