Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Confinement in the Coulomb Gauge Model   The Coulomb gauge model of QCD is studied with the introduction of a
confining potential into the scalar part of the vector potential. Using a Green
function formalism, we derive the self-energy for this model, which has both
scalar and vector parts, $\Sigma^S(p)$ and $\Sigma^V(p)$. A rotation of these
variables leads to the so-called gap and energy equations. We then analyse the
divergence structure of these equations. As this depends explicitly on the form
of potential, we give as examples both the linear plus Coulomb and
quadratically confining potentials. The nature of the confining single particle
Green function is investigated, and shown to be divergent due to the infrared
singularities caused by the confining potential. Solutions to the gap equation
for the simpler case of quadratic confinement are found both semi-analytically
and numerically. At finite temperatures, the coupled set of equations are
solved numerically in two decoupling approximations. Although chiral symmetry
is found only to be exactly restored as $T\to\infty$, the chiral condensate
displays a steep drop over a somewhat small temperature range.

21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom