Exclusive processes in perturbative quantum chromodynamics
Author(s) -
G. Peter Lepage,
Stanley J. Brodsky
Publication year - 1980
Publication title -
physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields
Language(s) - English
Resource type - Journals
eISSN - 1089-4918
pISSN - 0556-2821
DOI - 10.1103/physrevd.22.2157
Subject(s) - physics , quantum chromodynamics , particle physics , light cone , momentum transfer , perturbative qcd , quantum electrodynamics , gauge theory , quark , deep inelastic scattering , gluon , scattering amplitude , perturbation theory (quantum mechanics) , baryon , hadron , amplitude , scattering , quantum mechanics , inelastic scattering
We present a systematic analysis in perturbative quantum chromodynamics (QCD) of large-momentum-transfer exclusive processes. Predictions are given for the scaling behavior, angular dependence, helicity structure, and normalization of elastic and inelastic form factors and large-angle exclusive scattering amplitudes for hadrons and photons. We prove that these reactions are dominated by quark and gluon subprocesses at short distances, and thus that the dimensional-counting rules for the power-law falloff of these amplitudes with momentum transfer are rigorous predictions of QCD, modulo calculable logarithmic corrections from the behavior of the hadronic wave functions at short distances. These anomalous-dimension corrections are determined by evolution equations for process-independent meson and baryon ''distribution amplitudes'' phi(x/sub i/,Q) which control the valence-quark distributions in high-momentum-transfer exclusive reactions. The analysis can be carried out systematically in powers of ..cap alpha../sub s/(Q/sup 2/), the QCD running coupling constant. Although the calculations are most conveniently carried out using light-cone perturbation theory and the light-cone gauge, we also present a gauge-independent analysis and relate the distribution amplitude to a gauge-invariant Bethe-Salpeter amplitude.
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