Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling limit and strict convexity of free energy for gradient models
  with non-convex potential   We consider gradient models on the lattice $\mathbb{Z}^d$. These models serve
as effective models for interfaces and are also known as continuous Ising
models. The height of the interface is modelled by a random field with an
energy which is a non-convex perturbation of the quadratic interaction. We are
interested in the Gibbs measure with tilted boundary condition $u$ at inverse
temperature $\beta$ of this model. In [AKM16], [Hil16] and [ABKM19] the authors
show that for small tilt $u$ and large inverse temperature $\beta$ the surface
tension is strictly convex, where the limit is taken on a subsequence.
Moreover, it is shown that the scaling limit (again on a subsequence) is the
Gaussian free field on the continuum torus. The method of the proof is a
rigorous implementation of the renormalisation group method following a general
strategy developed by Brydges and coworkers.
  In this paper the renormalisation group analysis is extended from the
finite-volume flow to an infinite-volume version to eliminate the necessity of
the subsequence in the results in [AKM16], [Hil16] and [ABKM19].

35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ