Article

Letters in Mathematical Physics

, Volume 99, Issue 1, pp 277-297

Open Access This content is freely available online to anyone, anywhere at any time.

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

  • Romuald A. JanikAffiliated withInstitute of Physics, Jagiellonian University Email author 

Abstract

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.

Mathematics Subject Classification (2010)

81T30 81T40 81U15 81U20

Keywords

AdS/CFT correspondence integrability integrable quantum field theory.