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

Creators: Goldberger, Marvin L.; Soper, Davison E.; Guth, Alan H.

Abstract

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.

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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