Conformal symmetry of JIMWLK evolution at NLO

Alex Kovner, Michael Lublinsky, Yair Mulian

Research output: Contribution to journalArticlepeer-review


We construct the Next to Leading Order JIMWLK Hamiltonian for high energy evolution in N = 4 SUSY theory, and show that it possesses conformal invariance, even though it is derived using sharp cutoff on rapidity variable. The conformal transformation properties of Wilson lines are not quite the naive ones, but at NLO acquire an additional anomalous piece. We construct explicitly the inversion symmetry generator. We also show how to construct for every operator O, including the Hamiltonian itself, its "conformal extension" O, such that it transforms under the inversion in the naive way.

Original languageAmerican English
Article number30
JournalJournal of High Energy Physics
Issue number4
StatePublished - 1 Jan 2014


  • Deep Inelastic Scattering
  • Parton Model
  • QCD
  • Resummation

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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