Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vacuum Polarization of a Charged Massless Scalar Field on Cosmic String
  Spacetime in the Presence of a Magnetic Field   In this paper we consider a charged massless scalar quantum field operator in
the spacetime of an idealized cosmic string, i.e., an infinitely long, straight
and static cosmic string, which presents a magnetic field confined in a
cylindrical tube of finite radius. Three distinct situations are taking into
account in this analysis: {\it{i)}} a homogeneous field inside the tube,
{\it{ii)}} a magnetic field proportional to $1/r$ and {\it{iii)}} a cylindrical
shell with $\delta$-function. In these three cases the axis of the infinitely
long tube of radius $R$ coincides with the cosmic string. In order to study the
vacuum polarization effects outside the tube, we explicitly calculate the
Euclidean Green function associated with this system for the three above
situations, considering points in the region outside the tube.

21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci