N=4 SUSY Yang--Mills: three loops made simple(r)

Abstract

We construct universal parton evolution equation that produces space- and time-like anomalous dimensions for the maximally super-symmetric N=4 Yang--Mills field theory model, and find that its kernel satisfies the Gribov--Lipatov reciprocity relation in three loops. Given a simple structure of the evolution kernel, this should help to generate the major part of multi-loop contributions to QCD anomalous dimensions, due to classical soft gluon radiation effects.

19 pages, 1 figure

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Cited by in corpus (63)

• A Higher Order Perturbative Parton Evolution Toolkit (HOPPET)
• Dressing and Wrapping
• The Collinear Limit of the Energy-Energy Correlator
• Four loop twist two, BFKL, wrapping and strings
• Anomalous dimensions of high-spin operators beyond the leading order
• Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
• Rethinking Jets with Energy Correlators: Tracks, Resummation and Analytic Continuation
• Five-Loop Anomalous Dimension of Twist-Two Operators
• Triggering Soft Bombs at the LHC
• Twist-three at five loops, Bethe Ansatz and wrapping
• Exact kinematics in the small x evolution of the color dipole and gluon cascade
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Analytic Continuation and Reciprocity Relation for Collinear Splitting in QCD
• Three Point Energy Correlators in the Collinear Limit: Symmetries, Dualities and Analytic Results
• Twist-2 at seven loops in planar N=4 SYM theory: Full result and analytic properties
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• 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
• Four loop reciprocity of twist two operators in N=4 SYM
• Resummation of small-x double logarithms in QCD: semi-inclusive electron-positron annihilation
• Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
• Three loop anomalous dimension of the non-singlet transversity operator in QCD
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• Analytic solution of the multiloop Baxter equation
• Luescher formula for GKP string
• BFKL Spectrum of N=4 SYM: non-Zero Conformal Spin
• Large-x structure of physical evolution kernels in Deep Inelastic Scattering
• Jet fragmentation and gauge/string duality
• Twist operators in N=4 beta-deformed theory
• Reciprocity of gauge operators in N=4 SYM
• Resummed small-x and first-moment evolution of fragmentation functions in perturbative QCD
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Multi-Collinear Splitting Kernels for Track Function Evolution
• The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD
• Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• On the high spin expansion in the $sl(2)$ $\mathcal{N}=4$ SYM theory
• Large spin expansion of the long-range Baxter equation in the sl(2) sector of N=4 SYM
• Double-logs, Gribov-Lipatov reciprocity and wrapping
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory
• Large spin behavior of anomalous dimensions and short-long strings duality
• Small x resummation and the Odderon
• Two-loop anomalous dimensions for small-$R$ jet versus hadronic fragmentation functions
• Systematic Quark/Gluon Identification with Ratios of Likelihoods
• Integrability and the AdS/CFT correspondence
• 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
• Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type
• Generalised scaling at subleading order
• Nonplanar Four-Loop Anomalous Dimensions of Twist-Two Operators in N=4 Super Yang-Mills Theory: Higher Moment, General Result, and Cusp Anomalous Dimension
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Anomalous dimensions at small spins
• Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators
• Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part
• Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability
• Conformal moments of the two-loop coefficient functions in DVCS
• Anomalous dimensions of twist 2 operators and $\mathcal{N}=4$ SYM quantum spectral curve