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Current issue   Ukr. J. Phys. 2014, Vol. 58, N 5, p.424-431

    Paper

Gorkavenko V.M.1, Sitenko Yu.A.2, Stepanov O.B.2

1 Faculty of Physics, Taras Shevchenko National University of Kyiv
(64, Volodymyrs’ka Str., Kyiv 01601, Ukraine; e-mail: gorka@univ.kiev.ua)
2 Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
(14-b, Metrologichna Str., Kyiv 03680, Ukraine; e-mail: yusitenko@bitp.kiev.ua, pnd_@ukr.net)

Casimir Force Induced on a Plane by an Impenetrable Flux Tube of Finite Radius

Section: Fields and elementary particles
Original Author's Text: English

Abstract: A perfectly reflecting (Dirichlet) boundary condition at the edge of an impenetrable magneticflux-carrying tube of nonzero transverse size is imposed on the charged massive scalar matter field which is quantized outside the tube on a plane, which is transverse to the tube. We show that the vacuum polarization effects outside the tube give rise to a macroscopic force acting at the increase of the tube radius (if the magnetic flux is held steady).

Key words: vacuum polarization, Casimir effect, magnetic vortex.