Dressing and Wrapping

Abstract

We prove that the validity of the recently proposed dressed, asymptotic Bethe ansatz for the planar AdS/CFT system is indeed limited at weak coupling by operator wrapping effects. This is done by comparing the Bethe ansatz predictions for the four-loop anomalous dimension of finite-spin twist-two operators to BFKL constraints from high-energy scattering amplitudes in N=4 gauge theory. We find disagreement, which means that the ansatz breaks down for length-two operators at four-loop order. Our method supplies precision tools for multiple all-loop tests of the veracity of any yet-to-be constructed set of exact spectral equations. Finally we present a conjecture for the exact four-loop anomalous dimension of the family of twist-two operators, which includes the Konishi field.

20 pages, 2 tables, no figures; v2: references added, conjecture on exact four-loop twist-two result stated

References in corpus (44)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• A semi-classical limit of the gauge/string correspondence
• BFKL pomeron in the next-to-leading approximation
• 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
• Energy Scale(s) and Next-to-leading BFKL Equation
• Bethe Ansatz for Quantum Strings
• Classical/quantum integrability in AdS/CFT
• Giant Magnons
• Harmonic sums, Mellin transforms and Integrals
• Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model
• High energy QCD as a completely integrable model
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• The Factorized S-Matrix of CFT/AdS
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• The su(2|3) Dynamic Spin Chain
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories
• Wrapping interactions and a new source of corrections to the spin-chain/string duality
• Spinning strings in AdS_5 x S^5: new integrable system relations
• Baryon Distribution Amplitudes in QCD
• Quantum corrections to the string Bethe ansatz
• Planar N=4 gauge theory and the Inozemtsev long range spin chain
• Integrability of three-particle evolution equations in QCD
• Anomalous dimensions of Wilson operators in N=4 SYM theory
• Revisiting parton evolution and the large-x limit
• Algebraic Relations Between Harmonic Sums and Associated Quantities
• On AdS_5 x S^5 String S-matrix
• Logarithmic scaling in gauge/string correspondence
• Planar N=4 Gauge Theory and the Hubbard Model
• On the highest transcendentality in N=4 SUSY
• Renormalization of twist-three operators and integrable lattice models
• Flavor Singlet Contribution to the Structure Function $g_1$ at Small-x
• Fine structure of spectrum of twist-three operators in QCD
• Integrability and Transcendentality
• Bethe Ansatz for QCD Pomeron,
• Spinning strings in AdS_5 x S^5: one-loop correction to energy in SL(2) sector
• N=4 SUSY Yang--Mills: three loops made simple(r)
• A Perspective on Classical Strings from Complex Sine-Gordon Solitons
• How Accurate is the Quantum String Bethe Ansatz?

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• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• The Collinear Limit of the Energy-Energy Correlator
• Four loop twist two, BFKL, wrapping and strings
• Rethinking Jets with Energy Correlators: Tracks, Resummation and Analytic Continuation
• Wrapping at four loops in N=4 SYM
• Elliptic Feynman integrals and pure functions
• Five-Loop Anomalous Dimension of Twist-Two Operators
• Five loop Konishi from AdS/CFT
• Anomalous dimension with wrapping at four loops in N=4 SYM
• Exciting the GKP string at any coupling
• A Generalized Scaling Function for AdS/CFT
• Long-Range Deformations for Integrable Spin Chains
• Complete 1-loop test of AdS/CFT
• Feynman Integrals in Dimensional Regularization and Extensions of Calabi-Yau Motives
• The Four-Loop Konishi in N=4 SYM
• BFKL equation for the adjoint representation of the gauge group in the next-to-leading approximation at N=4 SUSY
• NNLO BFKL Pomeron eigenvalue in N=4 SYM
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Quantum spectral curve as a tool for a perturbative quantum field theory
• Integrability of scattering amplitudes in N=4 SUSY
• Energy correlations in the end-point region
• Exploring the mirror TBA
• Finite-Size Effects for Dyonic Giant Magnons
• BFKL approach and six-particle MHV amplitude in N=4 super Yang-Mills
• A Three-Point Form Factor Through Five Loops
• Quantum Wrapped Giant Magnon
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• Three-point functions in $\mathcal{N}=4$ SYM: the hexagon proposal at three loops
• Multiple zeta functions and double wrapping in planar N=4 SYM
• Three-loop gluon scattering in QCD and the gluon Regge trajectory
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Finite size effects for giant magnons on physical strings
• 5-loop Konishi from linearized TBA and the XXX magnet
• Large spin corrections in $\mathcal{N}=4$ SYM sl(2): still a linear integral equation
• QCD Pomeron from AdS/CFT Quantum Spectral Curve
• Twisting the Mirror TBA
• Three Point Energy Correlators in the Collinear Limit: Symmetries, Dualities and Analytic Results
• Detectors in weakly-coupled field theories
• Bootstrapping a Stress-Tensor Form Factor through Eight Loops
• Folding Amplitudes into Form Factors: An Antipodal Duality
• Analytic three-loop Solutions for N=4 SYM Twist Operators
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• Finite Size Giant Magnon
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Twist-2 at seven loops in planar N=4 SYM theory: Full result and analytic properties
• Pomeron in the N=4 supersymmetric gauge model at strong couplings
• Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
• The virtual scaling function of AdS/CFT
• Four loop reciprocity of twist two operators in N=4 SYM
• Resummation and S-duality in N=4 SYM
• Beyond cusp anomalous dimension from integrability
• The Bajnok-Janik formula and wrapping corrections
• Interacting finite-size magnons
• The Principle of Maximal Transcendentality and the Four-Loop Collinear Anomalous Dimension
• Antipodal Self-Duality for a Four-Particle Form Factor
• Three loop anomalous dimension of the non-singlet transversity operator in QCD
• Analytic solution of the multiloop Baxter equation
• Leading transcedental contribution to the four-loop universal anomalous dimension in N=4 SYM
• The role of leading twist operators in the Regge and Lorentzian OPE limits
• Hybrid-NLIE for the AdS/CFT spectral problem
• Luescher formula for GKP string
• BFKL Spectrum of N=4 SYM: non-Zero Conformal Spin
• The non-planar contribution to the four-loop universal anomalous dimension in N=4 Supersymmetric Yang-Mills theory
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Twist operators in N=4 beta-deformed theory
• On wrapping corrections to GKP-like operators
• Landau-Khalatnikov-Fradkin transformation and the mystery of even $\zeta$-values in Euclidean massless correlators
• On DIS Wilson coefficients in N = 4 super Yang-Mills theory
• Analytic properties of high energy production amplitudes in N=4 SUSY
• Six and seven loop Konishi from Luscher corrections
• Integrable spin chains and scattering amplitudes
• Twist-two operators and the BFKL regime - nonstandard solutions of the Baxter equation
• Fusion hierarchies for N = 4 superYang-Mills theory
• Wrapping in maximally supersymmetric and marginally deformed N=4 Yang-Mills
• The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• Structure of the string R-matrix
• The perturbative CFT optical theorem and high-energy string scattering in AdS at one loop
• Landau-Khalatnikov-Fradkin transformation of the fermion propagator in massless reduced QED
• The Full-Color Two-Loop Four-Gluon Amplitude in $\mathcal{N}=2$ Super-QCD
• Riemann $\zeta (3)$- terms in perturbative QED series, conformal symmetry and the analogies with structures of multiloop effects in N=4 supersymmetric Yang-Mills theory
• Konishi at strong coupling from ABE
• Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension
• The property of maximal transcendentality: calculation of master integrals
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• Large spin expansion of the long-range Baxter equation in the sl(2) sector of N=4 SYM
• ABJM quantum spectral curve and Mellin transform
• The property of maximal transcendentality: calculation of Feynman integrals
• Quasi-local formulation of the mirror TBA
• Double-logs, Gribov-Lipatov reciprocity and wrapping
• Regge spectroscopy of higher twist states in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
• On the logarithmic powers of $sl(2)$ SYM${}_4$
• Baxter equation beyond wrapping
• Large spin behavior of anomalous dimensions and short-long strings duality
• A Collinear Perspective on the Regge Limit
• From weak coupling to spinning strings
• TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Integrability and the AdS/CFT correspondence
• Large-Spin Expansions of GKP Strings
• Reciprocity and integrability in the sl(2) sector of N=4 SYM
• Approaching the BFKL pomeron via integrable classical solutions
• S-duality invariant perturbation theory improved by holography
• QCD-like properties for anomalous dimensions in N=4 SYM
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
• The Ising model and planar N=4 Yang-Mills
• The property of maximal transcendentality in the N=4 SYM
• SUSY, Casimir scaling and probabilistic properties of gluon and quark jets evolution
• Landau-Khalatnikov-Fradkin transformation and hatted zeta-values
• Commuting Conformal and Dual Conformal Symmetries in the Regge limit
• Pomeron in the N=4 SYM at strong couplings
• Finite Size Effect from Classical Strings in deformed AdS${}_3\times$ S${}^3$
• On interpolating anomalous dimension of twist-two operators with general spins