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High-energy scattering of quarks in gauge theories

P. Carruthers*

P. Fishbane†

F. Zachariasen‡

  • Theoretical Division, University of California, Los Alamos Scientific Laboratory, Los Alamos, New Mexico 87545

  • Department of Physics, University of Virginia, Charlottesville, Virginia 22901

  • California Institute of Technology, Pasadena, California 91109

  • *Research performed under the auspices of the U.S.E.R.D.A.
  • †Work supported in part by the National Science Foundation under Grant No. MPS-72-05166-A01.
  • ‡Work supported in part by U.S.E.R.D.A. under contract No. AT(11-1)-68 for the San Francisco Operations Office.
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Phys. Rev. D 15, 3675 – Published 15 June, 1977

DOI: https://doi.org/10.1103/PhysRevD.15.3675

Abstract

High-energy quark-quark scattering is calculated in quantum chromodynamics (QCD) using the infrared equation of Cornwall and Tiktopoulos. In contrast to ordinary quantum electrodynamics, the high-energy behavior is determined by the infrared structure. The infrared divergence is regulated by introduction of a small gluon mass; the amplitudes obtained agree with previous perturbation calculations (for t fixed, s→∞) in QCD modified by the addition of a Higgs meson in the limit of small gluon mass. A proposal to calculate the infrared-finite behavior at fixed angle using asymptotic freedom is made, based on the hypothesis that the infrared divergence can be factored from an infrared-finite and renormalization-point-dependent part. The latter is calculable for the colorless exchange amplitude but not for the color exchange amplitude.

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Outline

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Phys. Rev. D 15, 3675– Published 15 June, 1977
  • Received 18 January 1977

© 1977 American Physical Society

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