Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chiral Restoration and the Scalar and Vector Correlations in Hot and
  Dense Matter   First, it is pointed out that hadron/nuclear physics based on QCD should be
regarded as ``condensed matter physics'' of the QCD vacuum. We indicate that
phase shift analyses which respect chiral symmetry (ChS), analyticity and
crossing symmetry of the scattering amplitude show the $\sigma$ meson pole in
the s-channel in the low mass region as well as the $\rho$ meson pole in the
$t$-channel in the \pipi scattering in the scalar channel. We review recent
developments in exploring possible precursory phenomena of partial restoration
of \chis in nuclear medium by examining the spectral function in the scalar and
the vector channels. We emphasize that the wave function renormalization of the
pion in the medium plays an essential role to induce the decrease of the pion
decay constant as the order parameter of chiral transition. An emphasis is also
put on the importance to examine the scalar and vector channels simultaneously
for exploring the possible restoration of chiral symmetry.

6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn