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Analytical solution of the DGLAP equations using the generating function method
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DOI：10.1016/j.physletb.2022.137472.png)
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Recently, we generated the evolution equations of the parton distribution functions (P DF) 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 (DGL AP) 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 (DGL AP 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.(c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.
Keyword:
Parton distribution function
DGL AP equation
Non-equilibrium statistical mechanics
Markov process
Stochastic modeling
Generating function method
期刊
IF:
4.5
论文数:
3.2W
被引数:
7.3W
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