Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase transition in multicomponent field theory at finite temperature   Nuclear matter at finite temperature and barion density exhibits several
phase transitions that could happen at the early stages of the Universe
evolution and could be realized in heavy-ion or hadron-hadron collisions.
Microscopic description of phase transitions is notoriously difficult because
of the absence of small parameters. Here we present a general approach allowing
to treat situations, when there are no small parameters. The approach is based
on optimized perturbation theory and self-similar approximation theory. It
allows, starting with divergent perturbation series in powers of an
asymptotically small parameter, to construct expressions extrapolating
asymptotic series to arbitrary values of the parameter, including its infinite
limit. Examples of such approximants are: right root approximants, left root
approximants, continued root approximants, exponential approximants, and factor
approximants. The approach is illustrated by the phase transition of gauge
symmetry breaking in a multicomponent field theory. The found critical indices
are in very good agreement with Monte Carlo simulations as well as with
complicated methods of Pade-Borel summation, while our approach is much
simpler. The nice feature of the approach is that it gives exact values for the
cases where exact solutions are known.

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The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys