Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Antiferromagnetic Potts Models on the Square Lattice   We study the antiferromagnetic $q$-state Potts model on the square lattice
for $q=3$ and $q=4$, using the Wang-Swendsen-Koteck\'y Monte Carlo algorithm
and a new finite-size-scaling extrapolation method. For $q=3$ we obtain good
control up to correlation length $\xi \sim 5000$; the data are consistent with
$\xi(\beta) = A e^{2\beta} \beta (1 + a_1 e^{-\beta} + \ldots)$ as
$\beta\to\infty$. For $q=4$ the model is disordered even at zero temperature.

37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an