Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mass generation without phase coherence in the Chiral Gross-Neveu Model
  at finite temperature and small N in 2+1 dimensions   The chiral Gross-Neveu model is one of the most popular toy models for QCD.
In the past, it has been studied in detail in the large-N limit. In this paper
we study its small-N behavior at finite temperature in 2+1 dimensions. We show
that at small N the phase diagram of this model is {\it principally} different
from its behavior at $N\to \infty$. We show that for a small number $N$ of
fermions the model possesses two characteristic temperatures $T_{KT}$ and
$T^*$. That is, at small N, along with a quasiordered phase $0<T<T_{KT}$ the
system possesses a very large region of precursor fluctuations $T_{KT}<T<T^*$
which disappear only at a temperature $T^*$, substantially higher than the
temperature $T_{KT}$ of Kosterlitz-Thouless transition.

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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: math
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio