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Model calculations of electroproduction and inclusive annihilation cross sections

Callan, Curtis G., Jr. and Goldberger, M. L. (1975) Model calculations of electroproduction and inclusive annihilation cross sections. Physical Review D, 11 (6). pp. 1553-1562. ISSN 2470-0010. doi:10.1103/PhysRevD.11.1553.

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We have studied "deep-inelastic electroproduction" and "inclusive e+e- annihilation" in massless φ4 theory in the ladder approximation. The relevant Bethe-Salpeter-type equations can be completely solved and the physically important asymptotic limits are studied. The behavior of the moments of the structure functions is analyzed, and the "anomalous dimensions" which govern the asymptotic power behavior of the moments in the two cases are found. The anomalous dimensions are quite different in general, but are simply related in the weak-coupling limit.

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Additional Information:© 1975 by The American Physical Society. Received 26 September 1974. Work supported in part by the National Science Foundation under Grant No. GP-40392.
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National Science FoundationGP-40392
Issue or Number:6
Record Number:CaltechAUTHORS:CALprd75b
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11975
Deposited By: Tony Diaz
Deposited On:18 Oct 2008 02:25
Last Modified:08 Nov 2021 22:23

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