Journal of High Energy Physics (May 2017)

High energy QCD at NLO: from light-cone wave function to JIMWLK evolution

  • Michael Lublinsky,
  • Yair Mulian

DOI
https://doi.org/10.1007/JHEP05(2017)097
Journal volume & issue
Vol. 2017, no. 5
pp. 1 – 80

Abstract

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Abstract Soft components of the light cone wave-function of a fast moving projectile hadron is computed in perturbation theory to the third order in QCD coupling constant. At this order, the Fock space of the soft modes consists of one-gluon, two-gluon, and a quark-antiquark states. The hard component of the wave-function acts as a non-Abelian background field for the soft modes and is represented by a valence charge distribution that accounts for non-linear density effects in the projectile. When scattered off a dense target, the diagonal element of the S-matrix reveals the Hamiltonian of high energy evolution, the JIMWLK Hamiltonian. This way we provide a new direct derivation of the JIMWLK Hamiltonian at the Next-to-Leading Order.

Keywords