A lightlike formulation of the quark model

The quark model for hadrons is formulated on the basis of quark fields quantized on a lightlike plane. Hadron resonance states are constructed from the vacuum in terms of creation operators of quarks and antiquarks, where the number of additional q-anti q pairs are indefinite. Under the non-exoticity assumption for SU(3)sub(l)xSU(3)sub(l) irreducible representations, the structure of matrix elements of axial lightlike charge couplings is investigated, and related sum rules of Adler-Weisberger type are obtained. The problem of identifying the quarks on a lightlike plane with charged partons is also discussed. (auth.)