Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections

Understand

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 Luscher 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 Luscher's corrections to the study of the worldsheet QFT of the superstring in AdS5xS5 and, consequently, to anomalous dimensions of operators in N=4 SYM theory.