Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal scaling properties of QCD close to the chiral limit   We present a lattice QCD based determination of the chiral phase transition
temperature in QCD with two massless (up and down) and one strange quark having
its physical mass. We propose and calculate two novel estimators for the chiral
transition temperature for several values of the light quark masses,
corresponding to Goldstone pion masses in the range of $58~{\rm MeV}\lesssim
m_\pi\lesssim 163~{\rm MeV}$. The chiral phase transition temperature is
determined by extrapolating to vanishing pion mass using universal scaling
relations. After thermodynamic, continuum and chiral extrapolations we find the
chiral phase transition temperature $T_c^0=132^{+3}_{-6}$ MeV. We also show
some preliminary calculations that use the conventional estimator for the
pseudo-critical temperature and compare with the new estimators for $T_c^0$.
Furthermore, we show results for the ratio of the chiral order parameter and
its susceptibility and argue that this ratio can be used to differentiate
between $O(N)$ and $Z_2$ universality classes in a non-parametric manner.

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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: math
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg