Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chiral Symmetry In Nuclear Physics   How chiral symmetry -- which is a basic ingredient of quantum chromodynamics
(QCD) for light-quark hadrons -- enters and plays an eminent role in nuclear
physics is discussed. This is done in two steps. In the first step, I introduce
the notion of the Cheshire Cat Principle which describes how a
strong-interaction phenomenon can be described in various different languages.
In the second step, I treat two cases of widely different density regimes. The
first case deals with formulating nuclear physics of {\it dilute} nuclear
systems with a focus on both bound and scattering processes in two-nucleon
systems in terms of effective field theories (EFT), e.g., in the framework of
chiral perturbation theory. The second case requires formulating effective
field theories for {\it dense} hadronic matter such as heavy nuclei and nuclear
matter under normal as well as extreme conditions expected to be encountered in
compact stars and in heavy-ion collisions at relativistic energy. The first
case is rigorously formulated but the second relies on several assumptions that
appear to be reasonable but need ultimately to be justified. The Cheshire Cat
Principle is proposed to play an essential role in lending support to the
latter development.

3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph