Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hylomorphic Vortices in Abelian Gauge Theories   We consider an Abelian Gauge Theory in R4 equipped with the Minkowski metric.
This theory leads to a system of equations, the Klein-Gordon- Maxwell
equations, which provide models for the interaction between the electromagnetic
field and matter. We assume that the nonlinear term is such that the energy
functional is positive; this fact makes the theory more suitable for physical
models. A three dimensional vortex is a finite energy, stationary solution of
these equations such that the matter field has nontrivial angular momen- tum
and the magnetic field looks like the field created by a finite solenoid. Under
suitable assumptions, we prove the existence of three dimensional
vortex-solutions.

31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys