Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Determination of the axial coupling constant $g_{A}$ in the linear
  representations of chiral symmetry   If a baryon field belongs to a certain linear representation of chiral
symmetry of $SU(2) \otimes SU(2)$, the axial coupling constant $g_{A}$ can be
determined algebraically from the commutation relations derived from the
superconvergence property of pion-nucleon scattering amplitudes. This
establishes an algebraic explanation for the values of $g_{A}$ of such as the
non-relativistic quark model, large-$N_{c}$ limit and the mirror assignment for
two chiral partner nucleons. For the mirror assignment, the axial charges of
the positive and negative parity nucleons have opposite signs. Experiments of
eta and pion productions are proposed in which the sign difference of the axial
charges can be observed.

28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex