淡江大學機構典藏:Item 987654321/72755
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/72755


    Title: Dynamical renormalization group approach to the altarelli-parisi-lipatov equations
    Authors: Boyanovsky, D.;de Vega, H.J.;Lee, D.S.;Wang, S.Y.;Yu, H.L.
    Contributors: 淡江大學物理學系
    Date: 2002-01
    Issue Date: 2013-07-09 15:09:07 (UTC+8)
    Publisher: College Park: American Physical Society
    Abstract: 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.
    Relation: Physical Review D (Particles and Fields) 65(4), 045014(7 pages)
    DOI: 10.1103/PhysRevD.65.045014
    Appears in Collections:[Graduate Institute & Department of Physics] Journal Article

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