Polarized Electroproduction in Asymptotically Free Gauge Theories

概要

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Deep inelastic polarized electron-nucleon scattering is analyzed in asymptotically free gauge theories of the strong interactions. Anomalous dimensions of the relevant operators are calculated to second order in perturbation theory. The asymptotic form for the moments of g_1(=M^2νG_1) is derived. It is shown that both the Bjorken and the Burkhardt-Cottingham sum rules hold in the limit, but that the approach to the limit value is logarithmic for the former sum rule and is like inverse powers of Q^2 for the latter. The ratio of g_1 for two different values of Q^2 near threshold is calculated. Finally it is shown that the asymptotic limit of the transverse asymmetry near threshold can be determined only by the informations on g_1 and F_1 at some fixed large Q^2.
理論物理学刊行会の論文
1975-12-25