Non linear gluon evolution in path-integral form

2002/06/26 by Jean-Paul Blaizot, J. -P. Blaizot, Edmond Iancu +3 · 6 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/s0375-9474(02)01299-x

published as Nucl.Phys. A713 (2003) 441-469 · 32 pages

arxiv created 2002/06/26 · openalex publication_date 2002/12/27 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We explore and clarify the connections between two different forms of the renormalisation group equations describing the quantum evolution of hadronic structure functions at small x. This connection is established via a Langevin formulation and associated path integral solutions that highlight the statistical nature of the quantum evolution, pictured here as a random walk in the space of Wilson lines. The results confirm known approximations, form the basis for numerical simulations and widen the scope for further analytical studies.

Citations

• Non-Abelian Weizsäcker-Williams field and a two-dimensional effective color charge density for a very large nucleus
• Asymptotic freedom in parton language
• The BFKL equation from the Wilson renormalization group

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