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.
Related Papers
- → Form factors of γ * ρ → π and γ * γ → π 0 transitions and light-cone sum rules(1999)113 cited
- → Constraints on the leading-twist pion distribution amplitude from a QCD light-cone sum rule with chiral current(2008)7 cited
- → Form factor for penguin-induced $B \rightarrow \eta$ transition in light cone QCD sum rule(2003)5 cited
- Analysis of Processes K_0~*(1430)→Kπ in QCD Sum Rule and Light-Cone Sum Rule(2007)