Dynamical renormalization group approach to the Altarelli-Parisi-Lipatov equations
D. Boyanovsky, H. J. de Vega, D. -S. Lee, S. -Y. Wang, H. -L. Yu
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 Q2 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.
Create a lesson
Related papers
The LZ inelastic splitting as a probe of anomaly mediation
Seung J. Lee, Taewook Youn
Precision Tokenization for Multi-Modal Data in High Energy Physics
Jeffrey Krupa, Samuel Klein, Nilotpal Kakati et al.
Complete four-loop pressure of cold QED
Aapeli Kärkkäinen, Pablo Navarrete, Mika Nurmela et al.
Long-Distance Contributions to Light Vector Mesons and Radiative Decays of ηc
Xiao-Yu Qi, Qi Wu, Dian-Yong Chen
Utilizing Neural Networks for Solving Functional Renormalization Group Flow Equations
J. Gurzó, G. Fejős
ALP interactions with mesons and baryons at O(1/fa): a general field redefinition invariant approach
Jorge Alda, Stefano Rigolin