2008/10/01 by Francesca Catino, Catino, Francesca, Matteo Beccaria +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.0810.0100
Contribution to the workshop "Nonlinear Physics. Theory and experiment. V", Gallipoli, June 12-21, 2008
arxiv created 2008/10/01 · arxiv updated 2009/12/01
The long range Bethe Ansatz solution of the mixing problem in N=4 SYM allows to compute in a very efficient way multiloop anomalous dimensions of various composite operators. In the case of sl(2) twist operators it is important to obtain closed expressions for the anomalous dimensions in terms of the Lorentz spin. Conjectures are available altough analytical proofs are missing beyond one-loop. In this paper, we will present a method to expand at large spin the solution of the long range Baxter equation in twist 2 and 3. We will also propose sum rules for special singlet states at higher twist.