Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Increasing Potentials in Non-Abelian and Abelian Gauge Theories   An exact solution for an SU(2) Yang-Mills field coupled to a scalar field is
given. This solution has potentials with a linear and Coulomb part. This may
have some physical importance since many phenomenological QCD studies assume a
linear plus Coulomb potential. Usually the linear potential is motivated with
lattice gauge theory arguments. Here the linear potential is an exact result of
the field equations. We also show that in the Nielsen-Olesen Abelian model
there is an exact solution in the BPS limit which has a Coulomb-like
electromagnetic field and a logarithmically rising scalar field. Both of these
solutions must be cut off from above to avoid infinite field energy.

36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph