2006/02/28 by Robi Peschanski · 1 citation
Mathematics · Physics and Astronomy · #Cluster analysis #Condensed matter physics #Gluon #High-Energy Particle Collisions Research #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Phase space #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Saturation (graph theory) #Spin (aerodynamics) #Spin glass #Statistical physics #Statistics #Thermodynamics #Transverse plane #cond-mat.stat-mech #hep-ph #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2006.03.013
published in Nuclear Physics B 744(1-2), 80-95 (Elsevier BV) · 12 pages, 4 figures; revised version with modified title, some clarifications, and corrections of misprints; Fig.4 updated, results unchanged
arxiv created 2006/03/15 · openalex publication_date 2006/04/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We establish a connection between the cascading of gluon momenta modeled with the diffusive approximation of the Balitsky-Fadin-Kuraev-Lipatov kernel and the thermodynamics of directed polymers on a tree with disorder. Using known results on the low-temperature spin-glass phase of this statistical-mechanic problem we describe the dynamical phase space of gluon transverse momenta near saturation including its fluctuation pattern. It exhibits a nontrivial clustering structure, analoguous to ``hot spots'', whose distributions are derived and possess universal features in common with other spin-glass systems.