Quantum corrections to the string Bethe ansatz

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

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• The Factorized S-Matrix of CFT/AdS
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• Exact expressions for quantum corrections to spinning strings
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• Two-loop commuting charges and the string/gauge duality
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• Long-Range GL(n) Integrable Spin Chains and Plane-Wave Matrix Theory
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Cited by in corpus (166)

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• Foundations of the AdS_5 x S^5 Superstring. Part I
• Integrability for the Full Spectrum of Planar AdS/CFT
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• Finite-size Effects from Giant Magnons
• On String S-matrix, Bound States and TBA
• The all loop AdS4/CFT3 Bethe ansatz
• Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling
• The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry
• Dressing and Wrapping
• String hypothesis for the AdS_5 x S^5 mirror
• T-systems and Y-systems in integrable systems
• On AdS_5 x S^5 String S-matrix
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• 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
• Worldsheet Scattering in AdS_5 x S^5
• Wrapping interactions at strong coupling -- the giant magnon
• The all-loop integrable spin-chain for strings on AdS_3 x S^3 x T^4: the massive sector
• 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
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• The Bethe ansatz approach for factorizable centrally extended S-matrices
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• Worldsheet scattering in AdS(3)/CFT(2)
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• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
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• 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
• Functional BES equation
• The one-loop worldsheet S-matrix for the AdS(n) x S(n) x T(10-2n) superstring
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• Finite size effects for giant magnons on physical strings
• Quantum integrability and functional equations
• Twisting the Mirror TBA
• Giant magnons in TsT-transformed AdS_5 x S^5
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Classical r-matrix of the su(2|2) SYM spin-chain
• The scaling function at strong coupling from the quantum string Bethe equations
• A Secret Symmetry of the AdS/CFT S-matrix
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• Finite Size Giant Magnon
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
• A Yangian Double for the AdS/CFT Classical r-matrix
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
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• New Dressing Factors for AdS3/CFT2
• Magnon Bound-state Scattering in Gauge and String Theory
• Reduced sigma-model on AdS_5 x S^5: one-loop scattering amplitudes
• Macroscopic (and Microscopic) Massless Modes
• A new derivation of Luscher F-term and fluctuations around the giant magnon
• Quantum corrections to short folded superstring in AdS_3 x S^3 x M^4
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• Generalized scaling function from light-cone gauge AdS_5 x S^5 superstring
• The Effectiveness of Relativistic Invariance in AdS${}_3$
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
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• 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
• Zero modes for the giant magnon
• Coordinate Bethe Ansatz for the String S-Matrix
• q-Deformed Supersymmetry and Dynamic Magnon Representations
• Quantum Scattering of Giant Magnons
• Comments on the Boundary Scattering Phase
• Generalized unitarity and the worldsheet S matrix in AdS_n x S^n x M^(10-2n)
• A new measurement of the structure functions $P_{LL}-P_{TT}/epsilon$ and $P_{LT}$ in virtual Compton scattering at $Q^2=$ 0.33 (GeV/c)${}^2$
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