Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A renormalization group method by harmonic extensions and the classical
  dipole gas   In this paper we develop a new renormalization group method, which is based
on conditional expectations and harmonic extensions, to study functional
integrals related with small perturbations of Gaussian fields. In this new
method one integrates Gaussian fields inside domains at all scales conditioning
on the fields outside these domains, and by variation principle solves local
elliptic problems. It does not rely on an a priori decomposition of the
Gaussian covariance. We apply this method to the model of classical dipole gas
on the lattice, and show that the scaling limit of the generating function with
smooth test functions is the generating function of the renormalized Gaussian
free field.

8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg