Twist-three at five loops, Bethe Ansatz and wrapping

Abstract

We present a formula for the five-loop anomalous dimension of N=4 SYM twist-three operators in the sl(2) sector. We obtain its asymptotic part from the Bethe Ansatz and finite volume corrections from the generalized Luescher formalism, considering scattering processes of spin chain magnons with virtual particles that travel along the cylinder. The complete result respects the expected large spin scaling properties and passes non-trivial tests including reciprocity constraints. We analyze the pole structure and find agreement with a conjectured resummation formula. In analogy with the twist-two anomalous dimension at four-loops, wrapping effects are of order log^2 M/M^2 for large values of the spin.

19 pages

References in corpus (50)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Transcendentality and Crossing
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• The su(2|2) Dynamic S-Matrix
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• 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
• Integrability for the Full Spectrum of Planar AdS/CFT II
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Wrapping interactions and a new source of corrections to the spin-chain/string duality
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Baryon Distribution Amplitudes in QCD
• On String S-matrix, Bound States and TBA
• Gauge/string duality for QCD conformal operators
• Revisiting parton evolution and the large-x limit
• Algebraic Relations Between Harmonic Sums and Associated Quantities
• String hypothesis for the AdS_5 x S^5 mirror
• Logarithmic scaling in gauge/string correspondence
• Four loop twist two, BFKL, wrapping and strings
• Anomalous dimensions of high-spin operators beyond the leading order
• Integrability in QCD and beyond
• Wrapping at four loops in N=4 SYM
• Wrapping interactions at strong coupling -- the giant magnon
• Integrability and Transcendentality
• Four-Loop Cusp Anomalous Dimension From Obstructions
• Evolution equations for quark-gluon distributions in multi-color QCD and open spin chains
• A Generalized Scaling Function for AdS/CFT
• N=4 SUSY Yang--Mills: three loops made simple(r)
• Finite Volume Spectrum of 2D Field Theories from Hirota Dynamics
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Large spin corrections in $\mathcal{N}=4$ SYM sl(2): still a linear integral equation
• Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
• Analytic three-loop Solutions for N=4 SYM Twist Operators
• Twist 3 of the sl(2) sector of N=4 SYM and reciprocity respecting evolution
• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
• The virtual scaling function of AdS/CFT
• Towards Baxter equation in supersymmetric Yang-Mills theories
• Beyond cusp anomalous dimension from integrability
• Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
• Spiky strings in AdS_3 x S^1 and their AdS-pp-wave limits
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• Leading transcedental contribution to the four-loop universal anomalous dimension in N=4 SYM
• Reciprocity of gauge operators in N=4 SYM
• Large spin expansion of the long-range Baxter equation in the sl(2) sector of N=4 SYM
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• On the origin of the dressing phase in N=4 Super Yang-Mills
• From nesting to dressing

Cited by in corpus (55)

• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Five-Loop Anomalous Dimension of Twist-Two Operators
• Exciting the GKP string at any coupling
• Five-loop Konishi from the Mirror TBA
• Long-Range Deformations for Integrable Spin Chains
• Quantum spectral curve as a tool for a perturbative quantum field theory
• Exploring the mirror TBA
• Konishi operator at intermediate coupling
• The Bound State S-Matrix for AdS5 x S5 Superstring
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• Large spin systematics in CFT
• Twisting the Mirror TBA
• Yangians, S-matrices and AdS/CFT
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Five-loop anomalous dimension at critical wrapping order in N=4 SYM
• Discrete Hirota dynamics for AdS/CFT
• Analytic solution of the multiloop Baxter equation
• The non-planar contribution to the four-loop universal anomalous dimension in N=4 Supersymmetric Yang-Mills theory
• BFKL Spectrum of N=4 SYM: non-Zero Conformal Spin
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• Twist operators in N=4 beta-deformed theory
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• On wrapping corrections to GKP-like operators
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Strong coupling results from the numerical solution of the quantum spectral curve
• On DIS Wilson coefficients in N = 4 super Yang-Mills theory
• On Yangian and Long Representations of the Centrally Extended su(2|2) Superalgebra
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Wrapping in maximally supersymmetric and marginally deformed N=4 Yang-Mills
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
• 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
• Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
• Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• The property of maximal transcendentality: calculation of master integrals
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• The property of maximal transcendentality: calculation of Feynman integrals
• Scattering of Giant Magnons in CP^3
• Double-logs, Gribov-Lipatov reciprocity and wrapping
• Large spin behavior of anomalous dimensions and short-long strings duality
• Baxter equation beyond wrapping
• From weak coupling to spinning strings
• Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
• TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• Reciprocity and integrability in the sl(2) sector of N=4 SYM
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Wrapping effects in supersymmetric gauge theories
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Exact Results in Supersymmetric Gauge Theories
• Conformal moments of the two-loop coefficient functions in DVCS
• Anomalous dimensions of twist 2 operators and $\mathcal{N}=4$ SYM quantum spectral curve