Renormalization of Gauge-Invariant Operators for the Structure Function g2(x, Q2) | Zendy

Jiro Kodaira | Zendy; Takashi Nasuno | Zendy; Hiroshi Tochimura | Zendy; Kazuhiro Tanaka | Zendy; Y. Yasui | Zendy

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Renormalization of Gauge-Invariant Operators for the Structure Function g2(x, Q2)

Author(s) -

Jiro Kodaira,

Takashi Nasuno,

Hiroshi Tochimura,

Kazuhiro Tanaka,

Y. Yasui

Publication year - 1998

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.99.315

Subject(s) - physics , covariant transformation , structure function , twist , invariant (physics) , renormalization , mathematical physics , operator (biology) , pure mathematics , particle physics , mathematics , geometry , biochemistry , chemistry , repressor , transcription factor , gene

We investigate the nucleon's transverse spin-dependent structure functiong_2(x, Q^{2}) in the framework of the operator product expansion and therenormalization group. We construct the complete set of the twist-3 operatorsfor the flavor singlet channel, and give the relations among them. We developan efficient, covariant approach to derive the anomalous dimension matrix ofthe twist-3 singlet operators by computing the off-shell Green's functions. Asan application, we investigate the renormalization mixing for the lowest momentcase, including the operators proportional to the equations of motion as wellas the ``alien'' operators which are not gauge-invariant.Comment: 13 pages, 13 Postscript figures, psfig.sty and here.sty are require

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