Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Precision calculation of critical exponents in the $O(N)$ universality
  classes with the nonperturbative renormalization group   We compute the critical exponents $\nu$, $\eta$ and $\omega$ of $O(N)$ models
for various values of $N$ by implementing the derivative expansion of the
nonperturbative renormalization group up to next-to-next-to-leading order
[usually denoted $\mathcal{O}(\partial^4)$]. We analyze the behavior of this
approximation scheme at successive orders and observe an apparent convergence
with a small parameter -- typically between $1/9$ and $1/4$ -- compatible with
previous studies in the Ising case. This allows us to give well-grounded error
bars. We obtain a determination of critical exponents with a precision which is
similar or better than those obtained by most field theoretical techniques. We
also reach a better precision than Monte-Carlo simulations in some physically
relevant situations. In the $O(2)$ case, where there is a longstanding
controversy between Monte-Carlo estimates and experiments for the specific heat
exponent $\alpha$, our results are compatible with those of Monte-Carlo but
clearly exclude experimental values.

12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con