Light-Ray Operators and their Application in QCD
Abstract
The nonperturbative parton distribution and wave functions are directly related to matrix elements of light-ray (nonlocal) operators. These operators are generalizations of the standard local operators known from the operator product expansion. The renormalization group equation for these operators leads to evolution equations for more general distribution amplitudes which include the Altarelli-Parisi and the Brodsky-Lepage equations as special cases. It is possible to derive the Altarelli-Parisi kernel as a limiting case of the extended Brodsky-Lepage kernel. As new application of the operator product expansion the virtual Compton scattering near forward direction is considered.
Cite
@article{arxiv.hep-ph/9406259,
title = {Light-Ray Operators and their Application in QCD},
author = {B. Geyer and D. Müller and D. Robaschik},
journal= {arXiv preprint arXiv:hep-ph/9406259},
year = {2007}
}
Comments
Presented at the Leipzig Workshop on `Quantum Field Theoretical Aspects of High Energy Physics', Bad Frankenhausen, Germany, Sept. 20-24, 1993, 10 pages LaTeX (1 LaTeX picture included), SLAC-PUB-6495