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November 1, 1980Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields2,920 citations

Exclusive processes in perturbative quantum chromodynamics

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GLG. Peter LepageSBStanley J. Brodsky

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Abstract

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" (x₈, Q) which control the valence-quark distributions in high-momentum-transfer exclusive reactions. The analysis can be carried out systematically in powers of ₒ (Q^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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Lepage et al. (1980) studied this question.

synapsesocial.com/papers/69d916cfe0d31bb7478359f5https://doi.org/10.1103/physrevd.22.2157
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