Fine structure of anomalous dimensions in N=4 super Yang-Mills theory

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dc.creatorBelitsky, A. V.
dc.creatorKorchemsky, G. P.
dc.creatorPasechnik, R. S.
dc.date2008-06-23
dc.date2008-07-21
dc.date.accessioned2026-07-07T12:14:48Z
dc.date.available2026-07-07T12:14:48Z
dc.descriptionAnomalous dimensions of high-twist Wilson operators in generic gauge theories occupy a band of width growing logarithmically with their conformal spin. We perform a systematic study of its fine structure in the autonomous SL(2) subsector of the dilatation operator of planar N=4 super Yang-Mills theory which is believed to be integrable to all orders in 't Hooft coupling. We resort in our study on the framework of the Baxter equation to unravel the properties of the ground state trajectory and the excited trajectories in the spectrum. We use two complimentary approaches in our analysis based on the asymptotic solution of the Baxter equation and on the semiclassical expansion to work out the leading asymptotic expression for the trajectories in the upper and lower part of the band and to find how they are modified by the perturbative corrections.
dc.description34 pages; v2: minor corrections, reference added
dc.identifierhttps://arxiv.org/abs/0806.3657
dc.identifierhttp://arxiv.org/abs/0806.3657
dc.identifierNucl.Phys.B809:244-278,2009
dc.identifierdoi:10.1016/j.nuclphysb.2008.10.013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211316
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleFine structure of anomalous dimensions in N=4 super Yang-Mills theory
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