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Vacuum energy induced by a singular magnetic vortex

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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.

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Authors and Affiliations

  1. Bogoliubov Institute for Theoretical Physics, Ukrainian National Academy of Sciences, Kiev, Ukraine

    A. Yu. Babanskii & Ya. A. Sitenko

Authors
  1. A. Yu. Babanskii
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  2. Ya. A. Sitenko
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 120, No. 1, pp. 72–81, July, 1999.

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Babanskii, A.Y., Sitenko, Y.A. Vacuum energy induced by a singular magnetic vortex. Theor Math Phys 120, 876–882 (1999). https://doi.org/10.1007/BF02557397

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  • DOI: https://doi.org/10.1007/BF02557397

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