Conformal symmetry of JIMWLK Evolution at NLO

Abstract

We construct the Next to Leading Order JIMWLK Hamiltonian for high energy evolution in $\mathcal{N}=4$ 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" $\mathcal{O}$, such that it transforms under the inversion in the naive way.

20 pages

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Cited by in corpus (11)

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• Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
• Initial State Quantum Fluctuations in the Little Bang
• The Edge of Jets and Subleading Non-Global Logs
• NLO evolution of 3-quark Wilson loop operator
• High energy asymptotic behavior of the $S$-matrix in the saturation region with the smallest dipole running coupling prescription
• Extended collinearly-improved Balitsky-Kovchegov evolution equation in target rapidity
• Solution to the Sudakov suppressed Balitsky-Kovchegov equation and its application to the HERA data
• On the low-x NLO evolution of 4 point colorless operators