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arXiv · hep-ph/9712395

Renormalization of gauge-invariant operators for the structure function g_2(x, Q^{2})

Jiro Kodaira·Takashi Nasuno·Hiroshi Tochimura·Kazuhiro Tanaka·Yoshiaki Yasui
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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 renormalization mixing for the lowest moment case, including the operators proportional to the equations of motion as well as the ``alien'' operators which are not gauge-invariant.

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Jiro Kodaira, Takashi Nasuno, Hiroshi Tochimura, Kazuhiro Tanaka, Yoshiaki Yasui. 1997-12-19. Renormalization of gauge-invariant operators for the structure function g_2(x, Q^{2}). https://doi.org/10.1143/ptp.99.315

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