ASYMPTOTICS OF THE ALTARELLI-PARISI-LIPATOV EVOLUTION KERNELS OF PARTON DISTRIBUTIONS
- 10 July 1989
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A
- Vol. 04 (13) , 1257-1276
- https://doi.org/10.1142/s0217732389001453
Abstract
The asymptotics of the evolution kernels Pab(z) of parton distributions is investigated as z→1. It is proven that to all orders of perturbative QCD, where is the cusp anomalous dimension of the contour functionals in the fundamental (α=“quark”) and adjoint (α=“gluon”) representations of gauge group and, to the lowest orders, Cα are related to the anomalous dimension of a quark field in the axial gauge and the beta function of QCD by a simple equation.Keywords
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