Twist Four Longitudinal Structure Function in Light-Front QCD

Abstract

To resolve various outstanding issues associated with the twist four longitudinal structure function $F_L^{\tau =4}(x)$ we perform an analysis based on the BJL expansion for the forward virtual photon-hadron Compton scattering amplitude and equal (light-front) time current algebra. Using the Fock space expansion for states and operators, we evaluate the twist four longitudinal structure function for dressed quark and gluon targets in perturbation theory. With the help of a new sum rule which we have derived recently we show that the quadratic and logarithmic divergences generated in the bare theory are related to corresponding mass shifts in old-fashioned light-front perturbation theory. We present numerical results for the $F_2$ and $F_L$ structure functions for the meson in two-dimensional QCD in the one pair approximation. We discuss the relevance of our results for the problem of the partitioning of hadron mass in QCD.

25 pages, 2 ps figures, accepted for publication in Physical Review D

References in corpus (4)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• A Weak-Coupling Treatment of Nonperturbative QCD Dynamics to Heavy Hadrons
• Examination of Wandzura-Wilczek Relation for $g_2(x,Q^2)$ in pQCD
• Sum rule for the twist four longitudinal structure function

Cited by in corpus (9)

• Hadron Optics in Three-Dimensional Invariant Coordinate Space from Deeply Virtual Compton Scattering
• Hadron Optics: Diffraction Patterns in Deeply Virtual Compton Scattering
• Generalized Parton Distributions in the Impact Parameter Space with Non-zero Skewedness
• Helicity-dependent Twist-two and Twist-three Generalized Parton Distributions in Light-front QCD
• Impact Parameter Dependent Parton Distributions for a Composite Relativistic System
• Off-forward Matrix Elements in Light-front Hamiltonian QCD
• Gravitational form factors and mechanical properties of a quark at one loop in light-front Hamiltonian QCD
• Twist Four Longitudinal Structure Function for a Positronium-like Bound State in Light-Front QED
• Sum rules for the Gravitational Form Factors using light-front dressed quark state