How Accurate is the Quantum String Bethe Ansatz?

Abstract

We compare solutions of the quantum string Bethe equations with explicit one-loop calculations in the sigma-model on AdS(5)xS(5). The Bethe ansatz exactly reproduces the spectrum of infinitely long strings. When the length is finite, we find that deviations from the exact answer arise which are exponentially small in the string length.

13 pages, 1 figure; v4: typo in A.2 corrected

References in corpus (13)

• Giant Magnons
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Finite-size Effects from Giant Magnons
• Quantum corrections to the string Bethe ansatz
• Quantization of models with non-compact quantum group symmetry. Modular XXZ magnet and lattice sinh-Gordon model
• On AdS_5 x S^5 String S-matrix
• Infinite spin limit of semiclassical string states
• A Universality Test of the Quantum String Bethe Ansatz
• Exact expressions for quantum corrections to spinning strings
• Bethe Ansatz in Stringy Sigma Models
• Strings as Multi-Particle States of Quantum Sigma-Models
• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R

Cited by in corpus (56)

• Transcendentality and Crossing
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• On String S-matrix, Bound States and TBA
• Dressing and Wrapping
• Wrapping interactions at strong coupling -- the giant magnon
• Anomalous dimension with wrapping at four loops in N=4 SYM
• Complete 1-loop test of AdS/CFT
• Gauge invariant finite size spectrum of the giant magnon
• Y-system and Quasi-Classical Strings
• Finite-Size Effects for Dyonic Giant Magnons
• Quantum Wrapped Giant Magnon
• Constructing the AdS/CFT dressing factor
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Finite size effects for giant magnons on physical strings
• The scaling function at strong coupling from the quantum string Bethe equations
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• A new derivation of Luscher F-term and fluctuations around the giant magnon
• Reduced sigma-model on AdS_5 x S^5: one-loop scattering amplitudes
• Finite-Size Effects for Multi-Magnon States
• Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM
• Interacting finite-size magnons
• Leading transcedental contribution to the four-loop universal anomalous dimension in N=4 SYM
• Quantum Scattering of Giant Magnons
• Hubbard's Adventures in $\mathcal{N}=4$ SYM-land? Some non-perturbative considerations on finite length operators
• Luescher formula for GKP string
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Finite-size effects of Membranes on AdS_4 x S_7
• Perturbative study of the transfer matrix on the string worldsheet in AdS(5)xS(5)
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• Reciprocity of gauge operators in N=4 SYM
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Two-loop AdS_5 x S^5 superstring: testing asymptotic Bethe ansatz and finite size corrections
• Aspects of Integrability in AdS/CFT Duality
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• Spiky strings in Bethe Ansatz at strong coupling
• Structure of the string R-matrix
• Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
• Toy models for wrapping effects
• Nesting and Dressing
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• Double-logs, Gribov-Lipatov reciprocity and wrapping
• One-loop quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• The AdS_5 x S^5 superstrings in the generalized light-cone gauge
• Large-Spin Expansions of GKP Strings
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Wrapping effects in supersymmetric gauge theories
• Highest states in light-cone $Ad{S}_5\times S^5$ superstring
• Generalised scaling at subleading order
• Analytic Bethe Ansatz Solutions for Highest States in the su(1|1) and su(2) Sectors
• Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux
• Spiky Strings with Two Spins in AdS5
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes