Spin-glass model of QCD near saturation

Details Spin-glass model of QCD near saturation Spin-glass model of QCD near saturation

2006-02-10

arxiv.org/abs/hep-ph/0602095v3

Nucl.Phys.B744:80-95,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 4 figures; revised version with modified title, some clarifications, and corrections of misprints; Fig.4 updated, re

Scientific paper

10.1016/j.nuclphysb.2006.03.013

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.

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