Analytical solution of the DGLAP equations using the generating function method

Autor: N. Olanj, M. Lotfi Parsa, L. Asgari
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Physics Letters B, Vol 834, Iss , Pp 137472- (2022)
Druh dokumentu: article
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2022.137472
Popis: Recently, we generated the evolution equations of the parton distribution functions (PDF) usually used in the hadrons phenomenology by the stochastic modeling of the non-equilibrium statistical mechanics in the momentum space. The evolution equations obtained from the stochastic modeling are the same as the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations, but they are acquired by a mathematical procedure based on the non-equilibrium statistical mechanics and Markov processes. In this paper, we present a new analytical solution of the parton evolution equation (DGLAP equation) for the non-singlet quark distribution function using the generating function method. This method is a general technique for solving the master equation of Markov processes.
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