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Electroproduction scaling in an asymptotically free theory of strong interactions

Georgi, Howard and Politzer, H. David (1974) Electroproduction scaling in an asymptotically free theory of strong interactions. Physical Review D, 9 (2). pp. 416-420. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:GEOprd74

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Abstract

We analyze electroproduction in a non-Abelian gauge model of the strong interactions using the techniques of Christ, Hasslacher, and Mueller. The theory is asymptotically free and consistent with scaling up to logarithms. All logarithmic factors appear as inverse powers of ln(-q^2) and hence vanish as -q^2→∞. When -q^2 gets very large, the structure functions become strongly peaked near x=0, and as -q^2→∞ approach the singular scaling functions 2x F1(x)=F2(x)=aδ(x), where the constant a is determined. In a strong-interaction model based on the gauge group SU(3) with three triplets of fractionally charged quarks, a=0.16.


Item Type:Article
Additional Information:©1974 The American Physical Society. Received 30 July 1973. T. Appelquist has helped us with advice and encouragement from the beginning of this work. We are also grateful for helpful conversations with A. De Rújula, H. Schnitzer, and S. Weinberg. We thank A. Zee and T. Appelquist for pointing out an error in an earlier version of this work.
Record Number:CaltechAUTHORS:GEOprd74
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:GEOprd74
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.9.416
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6417
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:08 Dec 2006
Last Modified:26 Dec 2012 09:21

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