Roman Pasechnik
Senior lecturer
Fine structure of anomalous dimensions in N = 4 super-Yang-Mills theory
Author
Summary, in English
Anomalous 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.
Publishing year
2009-03-01
Language
English
Pages
244-278
Publication/Series
Nuclear Physics, Section B
Volume
809
Issue
1-2
Links
Document type
Journal article
Publisher
North-Holland
Topic
- Subatomic Physics
Status
Published
ISBN/ISSN/Other
- ISSN: 0550-3213