Conformal symmetry of JIMWLK evolution at NLO
| Autor: | Alex Kovner, Michael Lublinsky, Yair Mulian |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics High energy Point reflection FOS: Physical sciences Conformal map Supersymmetry High Energy Physics - Phenomenology symbols.namesake High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Theory (hep-th) Conformal symmetry symbols Cutoff Rapidity Hamiltonian (quantum mechanics) Mathematical physics |
| Zdroj: | Journal of High Energy Physics |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/jhep04(2014)030 |
| Popis: | We construct the Next to Leading Order JIMWLK Hamiltonian for high energy evolution in ${\cal N}=4$ 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" $\cal O$, such that it transforms under the inversion in the naive way. Comment: 20 pages |
| Databáze: | OpenAIRE |
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