Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Induced vacuum current and magnetic field in the background of a cosmic
  string   Vacuum polarization effects in the cosmic string background are considered.
We find that a current is induced in the vacuum of the quantized massive scalar
field and that the current circulates around the string which is generalized to
a $(d-2)$-brane in locally flat $(d+1)$-dimensional space-time. As a
consequence of the Maxwell equation, a magnetic field strength is also induced
in the vacuum and is directed along the cosmic string. The dependence of the
current and the field strength on the string flux and tension is
comprehensively analyzed. Both the current and the field strength are
holomorphic functions of the space dimension, decreasing exponentially with the
distance from the string. In the case of $d=3$ we show that, due to the vacuum
polarization, the cosmic string is enclosed in a tube of the magnetic flux
lines if the mass of the quantized field is less than the inverse of the
transverse size of the string core.

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The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat