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

Jiro Kodaira, Takashi Nasuno, Hiroshi Tochimura, Kazuhiro Tanaka, Yoshiaki Yasui

hep-pharXiv:hep-ph/9710454

Abstract

We investigate the nucleon's transverse spin-dependent structure function g2(x, Q2) 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 Q2-evolution of g2(x, Q2) for the lowest moment case, and discuss its experimental implication.

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