Strong coupling expansion of Baxter equation in N=4 SYM

Abstract

The anomalous dimensions of single-trace local Wilson operators with covariant derivatives in maximally supersymmetric gauge theory are believed to be generated from a deformed noncompact sl(2) Baxter equation. We perform a systematic expansion of this equation at strong coupling in the single-logarithmic limit of large conformal spin to overcome the limitation of the asymptotic nature of the equation. The analysis is reduced to Riemann-Hilbert problems for corresponding resolvents of Bethe roots in each order of the quasiclassical expansion. We explicitly construct the resolvents in the lowest two orders in strong coupling and find all local conserved charges of the underlying long-range spin chain.

12 pages

References in corpus (43)

• Gauge Theory Correlators from Non-Critical String Theory
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• A semi-classical limit of the gauge/string correspondence
• Quantum Inverse Scattering Method and Correlation Functions
• The N=4 SYM Integrable Super Spin Chain
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Bethe Ansatz for Quantum Strings
• How Algebraic Bethe Ansatz works for integrable model
• High energy QCD as a completely integrable model
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Structure functions for large $x$ and renormalization of Wilson loops
• Baryon Distribution Amplitudes in QCD
• Aspects of Semiclassical Strings in AdS${}_5$
• Quantum corrections to the string Bethe ansatz
• Integrability of three-particle evolution equations in QCD
• Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling
• A note on twist two operators in N=4 SYM and Wilson loops in Minkowski signature
• Algebraic Aspects of Bethe-Ansatz
• Logarithmic scaling in gauge/string correspondence
• A Test of the AdS/CFT Correspondence Using High-Spin Operators
• On Quantum Corrections to Spinning Strings and Bethe Equations
• On the highest transcendentality in N=4 SUSY
• Renormalization of twist-three operators and integrable lattice models
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• Fine structure of spectrum of twist-three operators in QCD
• On the Strong Coupling Scaling Dimension of High Spin Operators
• The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
• Quasiclassical QCD Pomeron
• Dilatation operator in (super-)Yang-Mills theories on the light-cone
• Strong coupling limit of Bethe Ansatz equations
• Conformal Fixed Points of Unidentified Gauge Theories
• Quantum integrability in (super) Yang-Mills theory on the light-cone
• The scaling function at strong coupling from the quantum string Bethe equations
• Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
• Double Scaling and Finite Size Corrections in sl(2) Spin Chain
• Towards Baxter equation in supersymmetric Yang-Mills theories
• Baxter equation for long-range SL(2|1) magnet
• Analytic Bethe Ansatz and Baxter equations for long-range psl(2|2) spin chain

Cited by in corpus (20)

• Exciting the GKP string at any coupling
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Quantum spectral curve as a tool for a perturbative quantum field theory
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• Comment on the Scaling Function in AdS4 x CP3
• Embedding nonlinear O(6) sigma model into N=4 super-Yang-Mills theory
• Functional BES equation
• Scaling function in AdS/CFT from the O(6) sigma model
• Quantum integrability and functional equations
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
• Nonperturbative scales in AdS/CFT
• Analytic solution of the multiloop Baxter equation
• Luescher formula for GKP string
• The generalised scaling function: a systematic study
• Fusion hierarchies for N = 4 superYang-Mills theory
• The 2-loop generalized scaling function from the BES/FRS equation
• Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension
• Towards NMHV amplitudes at strong coupling
• Reciprocity and integrability in the sl(2) sector of N=4 SYM