1996/03/31 by Hiroyuki Kawamura, Tsuneo Uematsu, Yoshiaki Yasui +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Random Matrices and Applications #Spectral Theory in Mathematical Physics #hep-ph
paper · pdf · doi:10.1142/s0217732397000133
published as Mod.Phys.Lett. A12 (1997) 135-143 · 12 pages, LaTeX, 1 Postscript figure, modified version without no changes in the final result
arxiv created 1996/11/12 · openalex publication_date 1997/01/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The QCD effects of twist-four operators on the first moment of nucleon spin-dependent structure function g 1 (x,Q 2 ) are studied in the framework of operator product expansion and renormalization group method. We investigate the operator mixing through renormalization of the twist-four operators including those proportional to the equation of motion by evaluating off-shell Green's functions in the usual covariant gauge as well as in the background gauge. Through this procedure we extract the one-loop anomalous dimension of the spin-1 and twist-four operator which determines the logarithmic correction to the 1/Q 2 behavior of the contribution from the twist-four operators to the first moment of g 1 (x,Q 2 ).