Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matching the QCD and Hadron Sectors and Medium Dependent Meson Masses;
  Hadronization in Relativistic Heavy Ion Collisions   The recent developments on the "vector manifestation" of chiral symmetry by
Harada and Yamawaki provide a compelling evidence for, and "refine," the
in-medium scaling of hadronic properties in dense/hot matter (call it ``BR
scaling") proposed by the authors in 1991. We reinterpret the Harada-Yamawaki
result obtained in a Wilsonian renormalization-group approach to hidden local
symmetry theory matched to QCD at near the chiral scale in terms of the
Nambu-Jona-Lasinio model and predict that the vector meson mass in medium
should scale $m_\rho^\star/m_\rho\sim
(\la\bar{q}q\ra^\star/\la\bar{q}q\ra)^{1/2}$ from $n=0$ up to $\sim n=n_0$
(where $n_0$ is nuclear matter density) and then go over to the linear scaling
$m_\rho^\star/m_\rho\sim \la\bar{q}q\ra^\star/\la\bar{q}q\ra$ up to the chiral
transition density $n_c$ at which the mass is to vanish (in the chiral limit)
according to the vector manifestation fixed point. In the regime of the linear
scaling above $n_0$, the (vector) gauge coupling constant should fall linearly
in $\la\bar{q}q\ra^\star$, vanishing at the critical point, with the width of
the vector meson becoming steeply narrower. We suggest the in-medium vector
meson mass, {\em both} parametric and pole, which goes smoothly to zero with
increasing density, to be an order parameter for chiral symmetry restoration.
Some issues related to recent RHIC observations are qualitatively discussed in
the appendices. Our main conclusion that follows from these considerations is
that the movement towards chiral restoration can be reliably described in
Nambu-Jona-Lasinio mean field, with constituent quarks as variables, although
there is probably density discontinuity following chiral restoration.

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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys