English

Casimir effect in external magnetic field

High Energy Physics - Theory 2007-05-23 v2

Abstract

In this paper we examine the Casimir effect for charged fields in presence of external magnetic field. We consider scalar field (connected with spinless particles) and the Dirac field (connected with 1/2-spin particles). In both cases we describe quantum field using the canonical formalism. We obtain vacuum energy by direct solving field equations and using the mode summation method. In order to compute the renormalized vacuum energy we use the Abel-Plana formula.

Keywords

Cite

@article{arxiv.hep-th/0504112,
  title  = {Casimir effect in external magnetic field},
  author = {Marcin Ostrowski},
  journal= {arXiv preprint arXiv:hep-th/0504112},
  year   = {2007}
}

Comments

12 pages, 9 figures

R2 v1 2026-07-22T15:29:33.672Z