Original scientific paper

Anomalous dimensions of twist-2 operators and pomeron in N=4 SUSY

L. N. Lipatov ; Petersburg Nuclear Physics Institute, Russia, also at The Hamburg University, Germany

Abstract

We review the BFKL approach to the Regge processes in QCD and show that in the multi-colour QCD the BKP equations for composite states of several Reggeized gluons are integrable. The relation between pomeron and graviton in N=4 SUSY is investigated. The maximal transcendentality hypothesis gives us a possibility to calculate the three-loop anomalous dimension. Using also the asymptotic Bethe anzatz and a model for wrapping effects, we find the anomalous dimension for twist-2 operators in four loops, in an agreement with the BFKL and double-logarithmic predictions.

Keywords

anomalous dimensions; high energy; cross-section

Hrčak ID:

304885

URI

https://hrcak.srce.hr/304885

Publication date:

4.5.2008.

Article data in other languages: croatian

Visits: 105 *