Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Precise determination of critical exponents and equation of state by
  field theory methods   Renormalization group, and in particular its Quantum Field Theory
implementation has provided us with essential tools for the description of the
phase transitions and critical phenomena beyond mean field theory. We therefore
review the methods, based on renormalized phi^4_3 quantum field theory and
renormalization group, which have led to a precise determination of critical
exponents of the N-vector model (R. Guida and J. Zinn-Justin, J. Phys. A31
(1998) 8103. cond-mat/9803240). and of the equation of state of the 3D Ising
model (R. Guida and J. Zinn-Justin, Nucl. Phys. B489 [FS] (1997) 626,
hep-th/9610223.). These results are among the most precise available probing
field theory in a non-perturbative regime.

6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an