Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-08-22
Phys.Rev. D65 (2002) 045014
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, version to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.65.045014
The Altarelli-Parisi-Lipatov equations for the parton distribution functions are rederived using the dynamical renormalization group approach to quantum kinetics. This method systematically treats the ln Q^2 corrections that arises in perturbation theory as a renormalization of the parton distribution function and unambiguously indicates that the strong coupling must be allowed to run with the scale in the evolution kernel. To leading logarithmic accuracy the evolution equation is Markovian and the logarithmic divergences in the perturbative expansion are identified with the secular divergences (terms that grow in time) that emerge in a perturbative treatment of the kinetic equations in nonequilibrium systems. The resummation of the leading logarithms by the Altarelli-Parisi-Lipatov equation is thus similar to the resummation of the leading secular terms by the Boltzmann kinetic equation.
Boyanovsky Daniel
de Vega Hector J.
Lee Da-Shin
Wang Shang-Yung
Yu Hoi--Lai
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