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Demythification of electroproduction local duality and precocious scaling

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 00034916. http://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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/S0003-4916(97)90003-8DOIArticle
http://www.sciencedirect.com/science/article/pii/S0003491697900038PublisherArticle
ORCID:
AuthorORCID
Georgi, Howard0000-0002-6088-9994
Politzer, H. David0000-0002-4983-6621
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.
Funders:
Funding AgencyGrant Number
NSFMPS75-20427
Harvard Society of FellowsUNSPECIFIED
Record Number:CaltechAUTHORS:20160916-101106268
Persistent URL:http://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:13 Feb 2019 18:06

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