Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Energy correlations of non-integrable Ising models: The scaling limit in
  the cylinder   We consider a class of non-integrable 2D Ising models, whose Hamiltonian, in
addition to the nearest neighbor couplings, includes weak multi-spin
interactions, even under spin flip. We study the model in cylindrical domains
of arbitrary aspect ratio and prove that, in the scaling limit, the multipoint
energy correlations converge to the same limiting correlations as those of the
nearest-neighbor Ising model in the cylinder with renormalized couplings, up to
an overall multiplicative constant, independent of the shape and size of the
domain. The proof is based on a representation of the generating function of
correlations in terms of a non-Gaussian Grassmann integral, and a constructive
Renormalization Group (RG) analysis thereof.
  A key technical novelty compared with previous works is a systematic analysis
of the effect of the boundary corrections to the RG flow, in particular a proof
that the scaling dimension of boundary operators is better by one dimension
than their bulk counterparts. A cancellation mechanism based on an approximate
image rule for the fermionic Green's function is of crucial importance for
controlling the RG flow of the marginal boundary terms.

29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex