Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical limit and anisotropy in the two-point correlation function of
  three-dimensional O(N) models   In three-dimensional O(N) models, we investigate the low-momentum behavior of
the two-point Green's function G(x) in the critical region of the symmetric
phase. We consider physical systems whose criticality is characterized by a a
rotationally-invariant fixed point.
  In non rotationally-invariant physical systems with O(N)-invariant
interactions, the vanishing of anisotropy in approaching the
rotationally-invariant fixed point is described by a critical exponent rho,
which is universal and is related to the leading irrelevant operator breaking
rotational invariance. At N=infinity one finds rho=2. 1/N expansion and
strong-coupling calculations show that, for all values of N>=0, rho~2.
  Non-Gaussian corrections to the universal low-momentum behavior of G(x) are
evaluated, and found to be very small.

18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph