Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kac-Ward formula and its extension to order-disorder correlators through
  a graph zeta function   A streamlined derivation of the Kac-Ward formula for the planar Ising model's
partition function is presented and applied in relating the kernel of the
Kac-Ward matrices' inverse with the correlation functions of the Ising model's
order-disorder correlation functions. A shortcut for both is facilitated by the
Bowen-Lanford graph zeta function relation. The Kac-Ward relation is also
extended here to produce a family of non planar interactions on $\mathbb{Z}^2$
for which the partition function and the order-disorder correlators are
solvable at special values of the coupling parameters/temperature.

16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom