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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 120, Number 1, Pages 72–81
DOI: https://doi.org/10.4213/tmf761 (Mi tmf761) 		 
This article is cited in 5 scientific papers (total in 5 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
Full-text PDF (219 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf761
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.
Received: 08.06.1998
Revised: 30.10.1998
English version:
Theoretical and Mathematical Physics, 1999, Volume 120, Issue 1, Pages 876–882
DOI: https://doi.org/10.1007/BF02557397
Bibliographic databases:
Language: Russian
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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\paper Vacuum energy induced by a singular magnetic vortex
\jour TMF
\yr 1999
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\pages 72--81
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\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{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000083293900006}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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