Vacuum energy dencity induced by impenetrable magnetic vortex of finite transverse size

Authors

  • В. М. Горкавенко Taras Shevchenko National University of Kyiv, Ukraine
  • Ю. О. Ситенко Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Ukraine
  • О. Б. Степанов Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Ukraine

DOI:

https://doi.org/10.24144/2415-8038.2011.30.234-239

Keywords:

Casimir effect, Aharonov-Bohm effect, Vacuum polarization, Cosmic strings

Abstract

We investigate the influence of an external magnetic field in a tube on the vacuum of a massive charged scalar field for arbitrary space-time dimensions. The tube is considered impenetrable for the scalar field which obeys the Dirichlet condition on the boundary surface. It was shown, that for a particular case of the 2+1 – dimensional space-time, the induced vacuum energy density of the scalar field outside the tube can be numerically calculated without regularization procedure. The dependence of the induced vacuum energy density on the distance from the tube at different values of its radius is analyzed.

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Published

2011-12-31

Issue

Vol. 30 (2011)

Section

Статті

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Copyright (c) 2011 Scientific Herald of Uzhhorod University.Series Physics

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