De Rújula, A. and Georgi, Howard and Politzer, H. David (1977) Demythification of electroproduction local duality and precocious scaling. Annals of Physics, 103 (2). pp. 315-353. ISSN 0003-4916. doi:10.1016/S0003-4916(97)90003-8. https://resolver.caltech.edu/CaltechAUTHORS:20160916-101106268
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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.
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| 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. | |||||||||
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| Issue or Number: | 2 | |||||||||
| DOI: | 10.1016/S0003-4916(97)90003-8 | |||||||||
| Record Number: | CaltechAUTHORS:20160916-101106268 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160916-101106268 | |||||||||
| Official Citation: | A De Rújula, Howard Georgi, H David Politzer, Demythification of electroproduction local duality and precocious scaling, Annals of Physics, Volume 103, Issue 2, 1977, Pages 315-353, ISSN 0003-4916, http://dx.doi.org/10.1016/S0003-4916(97)90003-8. (http://www.sciencedirect.com/science/article/pii/S0003491697900038) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 70394 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Joy Painter | |||||||||
| Deposited On: | 16 Sep 2016 18:19 | |||||||||
| Last Modified: | 04 Oct 2022 19:53 |
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