Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological order and the deconfinement transition in the (2+1)
  dimensional compact Abelian Higgs model   We study an Abelian compact gauge theory minimally coupled to bosonic matter
with charge q, which may undergo a confinement--deconfinement transition in
(2+1)D. The transition is analyzed using a nonlocal order parameter $\tilde W$,
which is related to large Wilson loops for fractional charges. We map the model
to a dual representation with no gauge field but only a global q-state clock
symmetry and show that $\tilde W$ correspond to the domain wall energy of that
model. $\tilde W$ is also directly connected to the concept of topological
order. We exploit these facts in Monte Carlo simulations to study the detailed
nature of the deconfinement transition.

37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc