Partonic Entropy of the Proton from DGLAP Evolution
Abstract
We investigate the concept of partonic entropy of the proton within the Dokshitzer--Gribov--Lipatov--Altarelli--Parisi (DGLAP) evolution scheme of collinear parton distributions. We show that such entropy increases monotonically with the evolution scale. The mechanism underlying this growth is illustrated using a simplified model of DGLAP evolution, highlighting the importance of including saturation effects at small x in the evolution of parton distributions, which tame the otherwise unbounded growth of partonic entropy. Based on existing literature, we present two simplified models of parton saturation at small x. In one of these models, partonic entropy is identified with entanglement entropy and proposed as an experimentally testable observable.
Keywords
Cite
@article{arxiv.2512.23102,
title = {Partonic Entropy of the Proton from DGLAP Evolution},
author = {Krzysztof Golec-Biernat},
journal= {arXiv preprint arXiv:2512.23102},
year = {2026}
}
Comments
several improvements to the text; two more references added