Spin-glass model of QCD near saturation
Abstract
Description
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.
12 pages, 4 figures; revised version with modified title, some clarifications, and corrections of misprints; Fig.4 updated, results unchanged
12 pages, 4 figures; revised version with modified title, some clarifications, and corrections of misprints; Fig.4 updated, results unchanged