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FIZIKA B 17 (2008) 2, 197 - 206
 
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
E-mail address: lipatov@thd.pnpi.spb.ru
Received 5 November 2007; Accepted 14 May 2008
Online 20 June 2008
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.
PACS numbers: 11.55.Hx, 13.60.Hb, 25.20.Lj
UDC 539.125
Keywords: anomalous dimensions, high energy, cross-section
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