Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Confinement in 3D Gluodynamics as a 2D Critical Phenomenon   Gluodynamics in 3D spacetime with one spatial direction compactified into a
circle of length $L$ is studied. The confinement order parameters, such as the
Polyakov loops, are analyzed in both the limits $L \to 0$ and $L \to \infty$.
In the latter limit the behavior of the confinement order parameters is shown
to be described by a 2D non-linear sigma-model on the compact coset space $G/ad
G$, where $G$ is the gauge group and $ad G$ its adjoint action on $G$.
Topological vortex-like excitations of the compact field variable cause a
Kosterlitz-Thouless phase transition which is argued to be associated with the
confinement phase transition in the 3D gluodynamics.

25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs