Induced vacuum magnetic field in the cosmic string background
- URL: http://arxiv.org/abs/2103.06222v2
- Date: Fri, 27 Aug 2021 08:15:37 GMT
- Title: Induced vacuum magnetic field in the cosmic string background
- Authors: Yurii A. Sitenko
- Abstract summary: We find that a magnetic field is induced in the vacuum and that a sheath in the form of a tube of the magnetic flux lines encloses a cosmic string.
The dependence of the induced vacuum magnetic field strength on the string flux and tension, as well as on the transverse size of the string, is unambiguously determined.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The relativistic charged spinor matter field is quantized in the background
of a straight cosmic string with nonvanishing transverse size. The most general
boundary conditions ensuring the impossibility for matter to penetrate through
the edge of the string core are considered. The role of discrete symmetries is
elucidated, and analytic expressions for the temporal and spatial components of
the induced vacuum current are derived in the case of either $P$ or $CT$
invariant boundary condition with two parameters varying arbitrarily from point
to point of the edge. The requirement of physical plausibility for the global
induced vacuum characteristics is shown to remove completely an arbitrariness
in boundary conditions. We find out that a magnetic field is induced in the
vacuum and that a sheath in the form of a tube of the magnetic flux lines
encloses a cosmic string. The dependence of the induced vacuum magnetic field
strength on the string flux and tension, as well as on the transverse size of
the string and on the distance from the string, is unambiguously determined.
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