Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smirnov's fermionic observable away from criticality   In a recent and celebrated article, Smirnov [Ann. of Math. (2) 172 (2010)
1435-1467] defines an observable for the self-dual random-cluster model with
cluster weight q = 2 on the square lattice $\mathbb{Z}^2$, and uses it to
obtain conformal invariance in the scaling limit. We study this observable away
from the self-dual point. From this, we obtain a new derivation of the fact
that the self-dual and critical points coincide, which implies that the
critical inverse temperature of the Ising model equals $1/2\log(1+\sqrt{2})$.
Moreover, we relate the correlation length of the model to the large deviation
behavior of a certain massive random walk (thus confirming an observation by
Messikh [The surface tension near criticality of the 2d-Ising model (2006)
Preprint]), which allows us to compute it explicitly.

18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an