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Published February 1977 | public
Journal Article

Demythification of electroproduction local duality and precocious scaling

Abstract

In an effort to develop a quantitative check of asymptotically free color-gauge theories, we analyze the logarithmic corrections to ξ-scaling coming from anomalous dimensions and coefficient functions of twist-two operators and compare with electroproduction data for 1 ⩽ Q^2 ⩽ 16 GeV^2. Excellent agreement is obtained using g^2(2 GeV)4π^2 = 0.17 for the effective quark-gluon coupling in the color-gauge theory. Effects of higher-twist operators are suppressed by powers of M_0^2Q^2. We use data from the resonance region to show M_0 ⋍ 400 MeV, in agreement with theoretical expectations. Our fit to νW_2 in the scaling region also describes the resonance region in the sense of Bloom-gilman local duality. We show that local duality is a consequence of the moment predictions obtained from the operator-product expansion in quantum chromodynamics. We resolve a paradox associated with local duality and spin-zero targets. Present measurements of R = σLσT at large x and Q^2 are systematically higher than our predictions.

Additional Information

© 1977 by Academic Press, Inc. Received August 20, 1976. Work funded in part by the National Science Foundation under grant MPS75-20427. Supported in part by the Harvard Society of Fellows. We heartily thank A. Bodek, D. Dubin, and E. Riordan for providing us with a fit to the data including the resonance region, and for helpful discussions. We are grateful to L. Smolin for reading the manuscript.

Additional details

Created:
August 19, 2023
Modified:
October 20, 2023