Renormalization of the Twist-3 Flavor Singlet Operators in a Covariant Gauge

Abstract

We investigate the nucleon's transverse spin-dependent structure function g_2(x, Q^2) in the framework of the operator product expansion and the renormalization group. We construct the complete set of the twist-3 operators for the flavor singlet channel, and give the relations among them. We develop an efficient, covariant approach to derive the anomalous dimension matrix of the twist-3 singlet operators by computing the off-shell Green's functions. As an application, we investigate the Q^2-evolution of g_2(x, Q^{2}) for the lowest moment case, and discuss its experimental implication.

Comments: 10 pages, 12 Postscript figures, LaTeX. Misprints corrected. Proceedings of the DESY workshop, "Deep inelastic scattering off polarized targets: Theory meets experiment" help at DESY-Zeuthen, September 1-5, 1997