The Four-Loop Dressing Phase of N=4 SYM

Abstract

We compute the dilatation generator in the su(2) sector of planar N=4 super Yang-Mills theory at four-loops. We use the known world-sheet scattering matrix to constrain the structure of the generator. The remaining few coefficients can be computed directly from Feynman diagrams. This allows us to confirm previous conjectures for the leading contribution to the dressing phase which is proportional to zeta(3).

19 pages, v2: referenced added

References in corpus (36)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Transcendentality and Crossing
• The N=4 SYM Integrable Super Spin Chain
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Bethe Ansatz for Quantum Strings
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model
• Automatized analytic continuation of Mellin-Barnes integrals
• The Factorized S-Matrix of CFT/AdS
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• The su(2|3) Dynamic Spin Chain
• Non-planar massless two-loop Feynman diagrams with four on-shell legs
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Aspects of Semiclassical Strings in AdS${}_5$
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• Quantum corrections to the string Bethe ansatz
• Field Theory Tests for Correlators in the AdS/CFT Correspondence
• Operators with large R charge in N=4 Yang-Mills theory
• Quantum Consistency of the Superstring in AdS_5 x S^5 Background
• On AdS_5 x S^5 String S-matrix
• On the highest transcendentality in N=4 SUSY
• On the Singularities of the Magnon S-matrix
• Worldsheet Scattering in AdS_5 x S^5
• Integrability and Transcendentality
• Four-Loop Cusp Anomalous Dimension From Obstructions
• A three-loop test of the dilatation operator in N=4 SYM
• The Gegenbauer Polynomial Technique: the evaluation of a class of Feynman diagrams
• Two-point functions of chiral operators in {\cal N}=4 SYM at order g^4
• Numerical evaluation of loop integrals
• More on correlators and contact terms in {\cal N}=4 SYM at order g^4
• Long-Range GL(n) Integrable Spin Chains and Plane-Wave Matrix Theory
• Spin Chain for Quantum Strings
• Baxter equation for long-range SL(2|1) magnet

Cited by in corpus (50)

• Foundations of the AdS_5 x S^5 Superstring. Part I
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• String hypothesis for the AdS_5 x S^5 mirror
• Wrapping at four loops in N=4 SYM
• Anomalous dimension with wrapping at four loops in N=4 SYM
• Long-Range Deformations for Integrable Spin Chains
• Complete 1-loop test of AdS/CFT
• The Four-Loop Konishi in N=4 SYM
• The Dressing Factor and Crossing Equations
• Quantum integrability and functional equations
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory
• On Symmetry Enhancement in the psu(1,1|2) Sector of N=4 SYM
• Five-loop anomalous dimension at critical wrapping order in N=4 SYM
• Finite-Size Effects for Multi-Magnon States
• Interacting finite-size magnons
• From N=4 gauge theory to N=2 conformal QCD: three-loop mixing of scalar composite operators
• Leading transcedental contribution to the four-loop universal anomalous dimension in N=4 SYM
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical Derivation
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• Reciprocity of gauge operators in N=4 SYM
• Yangian Symmetry of Long-Range gl(N) Integrable Spin Chains
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Integrability of N=6 Chern-Simons Theory at Six Loops and Beyond
• Aspects of Integrability in AdS/CFT Duality
• Review of AdS/CFT Integrability, Chapter I.3: Long-range spin chains
• 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
• Integrability and MHV diagrams in N=4 supersymmetric Yang-Mills theory
• Wrapping Interactions and the Konishi Operator
• The Bethe Ansatz for AdS5 x S5 Bound States
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Chiral limit of N = 4 SYM and ABJM and integrable Feynman graphs
• Introduction to Integrability and One-point Functions in $\mathcal{N}=4$ SYM and its Defect Cousin
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling
• Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
• Is there a tower of charges to be discovered?
• Integrability and the AdS/CFT correspondence
• On dilatation operator for a renormalizable theory
• Four-loop anomalous dimensions in Leigh-Strassler deformations
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Wrapping effects in supersymmetric gauge theories
• Oscillating Multiple Giants
• Nonplanar Four-Loop Anomalous Dimensions of Twist-Two Operators in N=4 Super Yang-Mills Theory: Higher Moment, General Result, and Cusp Anomalous Dimension
• Commuting Conformal and Dual Conformal Symmetries in the Regge limit