Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical behavior of the 2d scalar theory: resumming the ${\rm N}^8{\rm
  LO}$ perturbative mass gap   We apply the optimized perturbation theory (OPT) to resum the perturbative
series describing the mass gap of the bidimensional $\phi^4$ theory in the
$\mathbb{Z}_2$ symmetric phase. Already at NLO (one loop) the method is capable
of generating a quite reasonable non-perturbative result for the critical
coupling. At order-$g^7$ we obtain $g_c = 2.779(25)$ which compares very well
with the state of the art ${\rm N}^8{\rm LO}$ result, $g_c = 2.807(34)$. As a
novelty we investigate the supercritical region showing that it contains some
useful complimentary information that can be used in extrapolations to
arbitrarily high orders.

21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th