Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mass scaling of the near-critical 2D Ising model using random currents   We examine the Ising model at its critical temperature with an external
magnetic field $h a^{\frac{15}{8}}$ on $a\mathbb{Z}^2$ for $a,h >0$. A new
proof of exponential decay of the truncated two-point correlation functions is
presented. It is proven that the mass (inverse correlation length) is of the
order of $h^\frac{8}{15}$ in the limit $h \to 0$. This was previously proven
with CLE-methods in $\lbrack 1 \rbrack$. Our new proof uses instead the random
current representation of the Ising model and its backbone exploration. The
method further relies on recent couplings to the random cluster model $\lbrack
2 \rbrack$ as well as a near-critical RSW-result for the random cluster model
$\lbrack 3 \rbrack$.

30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
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
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ