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

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

1997-12-16

arxiv.org/abs/hep-ph/9712395v2

Prog.Theor.Phys. 99 (1998) 315-320

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 13 Postscript figures, psfig.sty and here.sty are required

Scientific paper

10.1143/PTP.99.315

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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