Saturation and universality in QCD at small x

2001/03/14 by Edmond Iancu, Larry McLerran · 5 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/s0370-2693(01)00526-3

published as Phys.Lett.B510:145-154,2001 · 14 pages; further clarifications and new material in the discussion of the saturation regime

arxiv created 2001/03/14 · openalex publication_date 2001/06/01 · arxiv updated 2010/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We find approximate solutions to the renormalization group equation which governs the quantum evolution of the effective theory for the Color Glass Condensate. This is a functional Fokker-Planck equation which generates in particular the non-linear evolution equations previously derived by Balitsky and Kovchegov within perturbative QCD. In the limit where the transverse momentum of the external probe is large compared to the saturation momentum, our approximations yield the Gaussian Ansatz for the effective action of the McLerran-Venugopalan model. In the opposite limit, of a small external momentum, we find that the effective theory is governed by a scale-invariant universal action which has the correct properties to describe gluon saturation.

Citations

• Wilson renormalization group for lowxphysics: Towards the high density regime
• Asymptotic freedom in parton language
• The BFKL equation from the Wilson renormalization group
• Saturation effects in deep inelastic scattering at lowQ2and its implications on diffraction

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