, Volume 99, Issue 1-3, pp 277-297,
Open Access This content is freely available online to anyone, anywhere at any time.
Date: 19 Jul 2011

Review of AdS/CFT Integrability, Chapter III.5: Lüscher Corrections


In integrable quantum field theories, the large volume spectrum is given by the Bethe Ansatz. The leading corrections, due to virtual particles circulating around the cylinder, are encoded in so-called Lüscher corrections. In order to apply these techniques to the AdS/CFT correspondence, one has to generalize these corrections to the case of generic dispersion relations and to multiparticle states. We review these various generalizations and the applications of Lüscher’s corrections to the study of the worldsheet QFT of the superstring in AdS 5 × S 5 and, consequently, to anomalous dimensions of operators in \({\mathcal{N}=4}\) SYM theory.