Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On an Extended PCAC Relationship   We explore a consistent way to extend the partially conserved axial vector
current (PCAC) relationship and corresponding current algebra results in two
strongly correlated directions: 1) towards a search for a set of systematic
rules for the establishment of PCAC related relationships in a finite low
momentum transfer region and for the extrapolation of the momentum transfer
$q^2$ to zero when deriving the low energy PCAC results that can be compared to
experimental data and 2) towards taking into account, besides the conventional
one, the only other possibility of the spontaneous chiral symmetry breaking,
$SU(2)_L\times SU(2)_R \to SU(2)_V$, inside a baryonic system by a condensation
(in the sense to be specified in the paper) of diquarks. The paper includes
investigations of a chiral Ward--Takahashi identity, the explicit chiral
symmetry breaking by a finite current quark mass, the modification of the PCAC
relationship and its consequences. It is shown that the signals for a
hypothetical diquark condensation inside a nucleon and nucleus is observable in
high precision experiments despite the fact that they may evade most of the
current observations. We briefly discuss how diquark condensation could provide
an answer to the question of where about of pions and quark number in a nucleon
and a nucleus, which is raised in explaining puzzles in polarized pion nucleus
scattering, violation of Gottfried sum rule and EMC effects.

10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex