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Published July 23, 1979 | public
Journal Article Open

Pion form factor

Abstract

We give the normalized leading asymptotic Q2 dependence of the pion form factor in quantum chromodynamics: Fπ(Q2)→Q2→±∞-2fπ2/bQ2ln|Q2|, where fπ is the pion decay constant and b=(11-2/3Nf)/16π2. Up to non-leading-logarithmic corrections, this is equivalent to Fπ(Q2)→Q2→±∞8παs(Q2)fπ2/(-Q2). These results are obtained by solving the light-cone pion Bethe-Salpeter equation in quantum chromodynamics to leading-logarithmic accuracy.

Additional Information

©1979 The American Physical Society. Received 26 March 1979. One of us (G.R.F.) would like to thank the Physics Department of Columbia University for its hospitality in January 1978 when this work was completed. We also wish to acknowledge useful conversations with T. Applequist, A. Mueller, and A. Vainshtein. This work was supported in part by the U. S. Department of Energy under Contract No. EY-76-C-03-0068 and by the Alfred P. Sloan Foundation.

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August 22, 2023
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October 16, 2023