Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On boundary correlations in planar Ashkin-Teller models   We generalize the switching lemma of Griffiths, Hurst and Sherman to the
random current representation of the Ashkin-Teller model. We then use it
together with properties of two-dimensional topology to derive linear relations
for multi-point boundary spin correlations and bulk order-disorder correlations
in planar models. We also show that the same linear relations are satisfied by
products of Pfaffians. As a result a clear picture arises in the noninteracting
case of two independent Ising models where multi-point correlation functions
are given by Pfaffians and determinants of their respective two-point
functions. This gives a unified treatment of both the classical Pfaffian
identities and recent total positivity inequalities for boundary spin
correlations in the planar Ising model. We also derive the Simon and Gaussian
inequality for general Ashkin-Teller models with negative four-body coupling
constants.

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The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
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The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
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The categories of this paper are: cs
3
The categories of this paper are: physics