Classical information entropy of parton distribution functions and an application in searching gluon saturation
arXiv:2208.13151 · doi:10.1140/epja/s10050-024-01322-6
Abstract
Entropy or information is a fundamental quantity contained in a system in statistical mechanics and information theory. In this paper, a definition of classical information entropy of parton distribution functions is suggested. The extensive and supper-additive properties of the defined entropy are discussed. The concavity is also deduced for the defined entropy. As an example, the classical information entropy of the gluon distribution of the proton is presented. There are some particular features of the evolution of the information entropy in the saturating domain, which could be used in finding the signals of gluon saturation.
8 pages, 4 figures
References in corpus (10)
- The Color Glass Condensate
- Mining for Gluon Saturation at Colliders
- Exclusive diffractive processes in electron-ion collisions
- Deep inelastic scattering as a probe of entanglement: confronting experimental data
- Entanglement entropy production in deep inelastic scattering
- An Analytical Solution of the Balitsky-Kovchegov Equation with the Homogeneous Balance Method
- Harmonics of Parton Saturation in Lepton-Jet Correlations at the EIC
- Valence quark distributions of the proton from maximum entropy approach
- Constraints on Gluon Distribution Functions in the Nucleon and Nucleus from Open Charm Hadron Production at the Electron-Ion Collider
- Page Entropy of Proton System in Deep-Inelastic-Scattering at Small-