Quantum corrections to the string Bethe ansatz
arXiv:hep-th/0603204 · doi:10.1088/1126-6708/2006/07/004
Abstract
One-loop corrections to the energy of semiclassical rotating strings contain both analytic and non-analytic terms in the 't Hooft coupling. Analytic contributions agree with the prediction from the string Bethe ansatz based on the classical S-matrix, but in order to include non-analytic contributions quantum corrections are required. We find a general expression for the first quantum correction to the string Bethe ansatz.
12 pages. Latex. v2: Misprints corrected and references added
References in corpus (3)
Cited by in corpus (81)
- Giant Magnons
- The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
- 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
- The all loop AdS4/CFT3 Bethe ansatz
- Dressing and Wrapping
- String hypothesis for the AdS_5 x S^5 mirror
- On AdS_5 x S^5 String S-matrix
- A Test of the AdS/CFT Correspondence Using High-Spin Operators
- Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
- Wrapping at four loops in N=4 SYM
- On the highest transcendentality in N=4 SUSY
- On the Singularities of the Magnon S-matrix
- Two-loop world-sheet corrections in AdS_5 x S^5 superstring
- Wrapping interactions at strong coupling -- the giant magnon
- Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
- Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
- Spinning strings at one-loop in AdS_4 x P^3
- On the Hopf algebra structure of the AdS/CFT S-matrix
- Anomalous dimension with wrapping at four loops in N=4 SYM
- Infinite spin limit of semiclassical string states
- Connecting giant magnons to the pp-wave: An interpolating limit of
- On the Strong Coupling Scaling Dimension of High Spin Operators
- The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
- A Generalized Scaling Function for AdS/CFT
- Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
- Complete 1-loop test of AdS/CFT
- A Universality Test of the Quantum String Bethe Ansatz
- The Bethe ansatz approach for factorizable centrally extended S-matrices
- Strong-coupling expansion of cusp anomaly from quantum superstring
- The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
- Strong coupling limit of Bethe Ansatz equations
- Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
- The magnon kinematics of the AdS/CFT correspondence
- The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve
- The Four-Loop Dressing Phase of N=4 SYM
- Finite-Size Effects for Dyonic Giant Magnons
- World-sheet scattering in AdS_5 x S^5 at two loops
- Constructing the AdS/CFT dressing factor
- Embedding nonlinear O(6) sigma model into N=4 super-Yang-Mills theory
- Finite size effects for giant magnons on physical strings
- Classical r-matrix of the su(2|2) SYM spin-chain
- A Secret Symmetry of the AdS/CFT S-matrix
- Finite-size effects in the superconformal beta-deformed N=4 SYM
- Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
- A Yangian Double for the AdS/CFT Classical r-matrix
- Integrable twists in AdS/CFT
- UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
- Finite-Size Effects for Multi-Magnon States
- Interacting finite-size magnons
- Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM
- Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
- q-Deformed Supersymmetry and Dynamic Magnon Representations
- Coordinate Bethe Ansatz for the String S-Matrix
- Comments on the Boundary Scattering Phase
- Quantum Scattering of Giant Magnons
- Factorized world-sheet scattering in near-flat AdS_5 x S^5
- Reciprocity of gauge operators in N=4 SYM
- On the Scattering of Magnon Boundstates
- Yangian Symmetry at Two Loops for the su(2|1) Sector of N=4 SYM
- Semiclassical Quantization of the Giant Magnon
- Minimal solution of the AdS/CFT crossing equation
- Strong coupling expansion of Baxter equation in N=4 SYM
- On the commuting charges for the highest dimension SU(2) operators in planar SYM
- Integrability and non-perturbative effects in the AdS/CFT correspondence
- Finite-Size Corrections of the Giant Magnons: the Lüscher terms
- Aspects of Integrability in AdS/CFT Duality
- Wrapping Interactions and the Konishi Operator
- Nesting and Dressing
- Large spin expansion of the long-range Baxter equation in the sl(2) sector of N=4 SYM
- Near-flat space limit and Einstein manifolds
- Anomalous dimensions of finite size field strength operators in N=4 SYM
- The S-matrix of the Faddeev-Reshetikhin Model, Diagonalizability and PT Symmetry
- On the origin of the dressing phase in N=4 Super Yang-Mills
- N-body Dynamics of Giant Magnons in RxS2
- Microscopic formulation of the S-matrix in AdS/CFT
- On the dressing phase in the SL(2) Bethe Ansatz
- The Ising model and planar N=4 Yang-Mills
- The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems
- Gauge-String Dualities and Some Applications