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arXiv · hep-ph/0206279

Non linear gluon evolution in path-integral form

J. -P. Blaizot·E. Iancu·H. Weigert
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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.

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J. -P. Blaizot, E. Iancu, H. Weigert. 2002-06-26. Non linear gluon evolution in path-integral form. https://doi.org/10.1016/s0375-9474(02)01299-x

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