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TMF, 1999, Volume 120, Number 1, Pages 72–81 (Mi tmf761)  

This article is cited in 3 scientific papers (total in 3 papers)

Vacuum energy induced by a singular magnetic vortex

A. Yu. Babanskii, Yu. A. Sitenko

N. N. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine

Abstract: A singular vortex configuration of a static external magnetic field polarizes the vacuum of a quantum charged scalar field in a space of arbitrary dimension. We use the zeta-function method and the heat kernel method to solve the problem of regularizing and eliminating an ultraviolet divergence and to find the induced vacuum energy density. A sufficient condition for using the zeta-function method to solve the problems in spaces of arbitrary dimension is formulated.

DOI: https://doi.org/10.4213/tmf761

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English version:
Theoretical and Mathematical Physics, 1999, 120:1, 876–882

Bibliographic databases:

Received: 08.06.1998
Revised: 30.10.1998

Citation: A. Yu. Babanskii, Yu. A. Sitenko, “Vacuum energy induced by a singular magnetic vortex”, TMF, 120:1 (1999), 72–81; Theoret. and Math. Phys., 120:1 (1999), 876–882

Citation in format AMSBIB
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\by A.~Yu.~Babanskii, Yu.~A.~Sitenko
\paper Vacuum energy induced by a singular magnetic vortex
\jour TMF
\yr 1999
\vol 120
\issue 1
\pages 72--81
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\crossref{https://doi.org/10.4213/tmf761}
\zmath{https://zbmath.org/?q=an:0966.81058}
\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 120
\issue 1
\pages 876--882
\crossref{https://doi.org/10.1007/BF02557397}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000083293900006}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Sitenko, YA, “Polarization of a fermion vacuum by a singular magnetic vortex: Spin and angular momentum”, Physics of Atomic Nuclei, 62:10 (1999), 1767  mathscinet  adsnasa  isi
    2. Sitenko, YA, “Induced vacuum energy-momentum tensor in the background of a (d-2)-brane in (d+1)-dimensional space-time”, Physical Review D, 67:8 (2003), 085015  crossref  mathscinet  adsnasa  isi
    3. Gorkavenko V.M., Sitenko Yu.A., Stepanov O.B., “Polarization of the vacuum of a quantized scalar field by an impenetrable magnetic vortex of finite thickness”, J. Phys. A: Math. Theor., 43:17 (2010), 175401  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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