Group Theoretical Analysis of Light-Cone Dominated Hadronic Processes and Twist Decomposition of Nonlocal Operators in Quantum Chromodynamics

Abstract

In the framework of nonlocal light-cone expansion of two current operators we construct bilocal as well as trilocal QCD light-cone operators with definite geometric twist. We are able to decompose uniquely the appearing QCD light-cone operators into all their twist parts on the light-cone. The quark distribution functions and the vector meson distribution amplitudes which are defined as forward and skewed nucleonic matrix elements of nonlocal light-cone operators are classified with respect to geometric twist. Hereby we found well-kown and new Wandzura-Wilczek type relations between the quark distribution functions with dynamical twist and, additionally, between the vector meson distribution amplitudes with dynamical twist. Using group theoretical methods we are able to construct all bilocal off-cone QCD operators with twist 2 and 3. Additionally, we calculate their nucleonic matrix elements (double distribution functions, scalar and vector meson distribution amplitudes). In some special cases we give also the twist decomposition of off-cone QCD operators from minimal up to infinite twist.

Doctoral Thesis (2002), 147 pages

References in corpus (13)

• An elastoplastic theory of dislocations as a physical field theory with torsion
• A nonsingular solution of the edge dislocation in the gauge theory of dislocations
• Dislocation theory as a 3-dimensional translation gauge theory
• Wandzura-Wilczek approximation from generalized rotational invariance
• Power corrections of off-forward quark distributions and harmonic operators with definite twist
• Screw dislocations in the field theory of elastoplasticity
• A Note on Wandzura-Wilczek Relations
• Wedge disclination in the field theory of elastoplasticity
• Wandzura-Wilczek-type relations of $\rho$-meson wave functions
• Twist disclination in the field theory of elastoplasticity
• Twist decomposition of nonlocal light-ray operators and harmonic tensor functions
• Construction of nonlocal light-cone operators with definite twist
• Light-cone wave functions of mesons

Cited by in corpus (2)

• Target mass corrections for virtual Compton scattering at twist-2 and generalized, non-forward Wandzura-Wilczek and Callan-Gross relations
• B-Meson Distribution Amplitudes of Geometric Twist vs. Dynamical Twist