Light-Cone Commutators and Chiral-Symmetry Effects in Deep-Inelastic Processes

Abstract

From the canonical light-cone commutators in the quark-vector-gluon model, the two most singular terms in the light-cone expansion for commutators of arbitrary Dirac bilinear covariants (local and bilocal) are derived and various interesting commutators are given explicitly. This operator expansion is then applied to deep-inelastic lepton-nucleon scattering, and the parity-violating as well as chiral-symmetry-breaking deep-inelastic structure functions are determined as the Fourier transforms of the diagonal matrix elements of the appropriate bilocal operators. A sum rule is derived which distinguishes between the parton model and the quark-vector-gluon model. In the vector-gluon model with a light-cone quantization, we consider a light-cone $\ensuremath{\sigma}$ term for pion-nucleon scattering which differs from the usual $\ensuremath{\sigma}$ term.