ABSTRACT
In this chapter we consider the currents associated with the chiral symmetry SU(3)L⊗SU(3)R, generated by chiral transformations of the triplet of light quarks u, d and s.
In place of the chiral currents, we can use the vector and axial vector currents which, in the quark model, are written:
V i = q¯ λi 2 γµq; (11.1)
Ai = q¯ λi 2 γµγ5q. (11.2)
In the limit of exact symmetry, the currents satisfy the continuity equations:
∂µJAµ = 0, (Jµ = Vµ, Aµ) (11.3)
and the charges:
QA =
∫ JA0 (x, t)d
3x3;
[QA, QB] = ifABCQC
are conserved.
