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Large-Q^2 behavior of the pion electromagnetic form factor

Goldberger, Marvin L. and Soper, Davison E. and Guth, Alan H. (1976) Large-Q^2 behavior of the pion electromagnetic form factor. Physical Review D, 14 (4). pp. 1117-1136. ISSN 2470-0010. doi:10.1103/PhysRevD.14.1117.

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We study the large-Q^2 behavior of the electromagnetic form factor of the pion, which is viewed as a quark-antiquark bound state in a (nongauge) quantum field theory. When the pion's Bethe-Salpeter wave function is expanded in O(4) partial waves, it is found that the information needed about the partial-wave amplitudes is their scaling behavior at large momentum and the locations of their poles in the complex J plane. This information is determined by using the operator-product expansion, conformal invariance at short distances, and a regularity property that holds at least in the ladder model. The resulting behavior of the form factor is roughly F(Q^2)~(Q^2)^(-1), with corrections due to anomalous dimensions.

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Additional Information:© 1976 The American Physical Society. Received 22 March 1976; published in the issue dated 15 August 1976. This research was supported in part by the U. S. Energy Research and Development Administration and in part by the National Science Foundation under Grant No. MPS 75-22514. We wish to thank C. Callan, D. Gross, L. Durand, A. Blaer, R. Blankenbecler, S. Brodsky, and N. Christ for very useful conversations.
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Energy Research and Development Administration (ERDA)UNSPECIFIED
NSFMPS 75-22514
Issue or Number:4
Record Number:CaltechAUTHORS:20120802-090540917
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Official Citation:Goldberger, M. L., D. E. Soper, et al. (1976). "Large-Q^{2} behavior of the pion electromagnetic form factor." Physical Review D 14(4): 1117-1136.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:32867
Deposited On:02 Aug 2012 16:17
Last Modified:09 Nov 2021 21:30

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