Non linear gluon evolution in path-integral form

Details Non linear gluon evolution in path-integral form Non linear gluon evolution in path-integral form

2002-06-26

arxiv.org/abs/hep-ph/0206279v1

Nucl.Phys. A713 (2003) 441-469

Physics

High Energy Physics

High Energy Physics - Phenomenology

32 pages

Scientific paper

10.1016/S0375-9474(02)01299-X

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.

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