Evolution Kernels of Twist-3 Light-Ray Operators in Polarized Deep Inelastic Scattering

Abstract

The twist three contributions to the $Q^2$-evolution of the spin-dependent structure function $g_2(x)$ are considered in the non-local operator product approach. Starting from the perturbative expansion of the T-product of two electromagnetic currents, we introduce the nonlocal light-cone expansion proved by Anikin and Zavialov and determine the physical relevant set of light-ray operators of twist three. Using the equations of motion we show the equivalence of these operators to the Shuryak-Vainshtein operators plus the mass operator, and we determine their evolution kernels using the light-cone gauge with the Leibbrandt-Mandelstam prescription. The result of Balitsky and Braun for the twist three evolution kernel (nonsinglet case) is confirmed.

7 pages, LaTeX, Talk given at the workshop "QCD and QED in Higher Order", Rheinsberg, April 21-26, 1996

References in corpus (4)

• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• Measurements of the Proton and Deuteron Spin Structure Function g2 and Asymmetry A2
• Spin Asymmetry in Muon--Proton Deep Inelastic Scattering on a Transversely-Polarized Target
• Gauge Invariance and Anomalous Dimensions of a Light-Cone Wilson Loop in Light-Like Axial Gauge

Cited by in corpus (9)

• Renormalization of twist-three operators and integrable lattice models
• The Theory of Deeply Inelastic Scattering
• Evolution equations for quark-gluon distributions in multi-color QCD and open spin chains
• Evolution equation for the structure function g_2(x,Q^2)
• Twist decomposition of nonlocal light-cone operators II: General tensors of 2nd rank
• Gluon contribution to the structure function g_2(x,Q^2)
• Renormalization of twist-four operators in light-cone gauge
• Renormalization of Chiral-Even Twist-3 Light-cone Wave Functions for Vector Mesons in QCD
• Evolution of the Truncated Mellin Moments of the parton distributions in QCD analysis