Large-Q2 behavior of the pion electromagnetic form factor

Marvin L. Goldberger, Davison E. Soper, and Alan H. Guth
Phys. Rev. D 14, 1117 – Published 15 August 1976
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Abstract

We study the large-Q2 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(Q2)(Q2)1, with corrections due to anomalous dimensions.

  • Received 22 March 1976

DOI:https://doi.org/10.1103/PhysRevD.14.1117

©1976 American Physical Society

Authors & Affiliations

Marvin L. Goldberger and Davison E. Soper

  • Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540

Alan H. Guth

  • Department of Physics, Columbia University, New York, New York 10027

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Vol. 14, Iss. 4 — 15 August 1976

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