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

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 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.

18 pages, see also overview article arXiv:1012.3982, v2: references to other chapters updated, v3: references added; v4: various comments added, journal version

References in corpus (28)

• Giant Magnons
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Finite-size Effects from Giant Magnons
• On String S-matrix, Bound States and TBA
• Dressing and Wrapping
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• Magnon Bound States and the AdS/CFT Correspondence
• Wrapping at four loops in N=4 SYM
• Wrapping interactions at strong coupling -- the giant magnon
• Anomalous dimension with wrapping at four loops in N=4 SYM
• Five-loop Konishi from the Mirror TBA
• Gauge invariant finite size spectrum of the giant magnon
• Exact expressions for quantum corrections to spinning strings
• Twist-three at five loops, Bethe Ansatz and wrapping
• Finite-Size Effects for Dyonic Giant Magnons
• Quantum Wrapped Giant Magnon
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• 5-loop Konishi from linearized TBA and the XXX magnet
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• The Bajnok-Janik formula and wrapping corrections
• Finite-size effect for four-loop Konishi of the beta-deformed N=4 SYM
• Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values

Cited by in corpus (19)

• Flux Tube Spectra from Approximate Integrability at Low Energies
• Protected string spectrum in AdS3/CFT2 from worldsheet integrability
• The Quantum Deformed Mirror TBA I
• Exact Bremsstrahlung and Effective Couplings
• Non-conformality of gamma_i-deformed N=4 SYM theory
• N=4 SYM structure constants as determinants
• The Quantum Deformed Mirror TBA II
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• Continuum limit of fishnet graphs and AdS sigma model
• The complete one-loop dilatation operator of planar real beta-deformed N=4 SYM theory
• Colour-Twist Operators I: Spectrum and Wave Functions
• Exceptional Operators in N=4 super Yang-Mills
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• Integrable Subsectors from Holography
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values
• Finite-size effects of beta-deformed AdS_5/CFT_4 at strong coupling
• Semiclassical SL(2) Strings on LLM backgrounds
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons