Gauge/string duality for QCD conformal operators

Abstract

Renormalization group evolution of QCD composite light-cone operators, built from two and more quark and gluon fields, is responsible for the logarithmic scaling violations in diverse physical observables. We analyze spectra of anomalous dimensions of these operators at large conformal spins at weak and strong coupling with the emphasis on the emergence of a dual string picture. The multi-particle spectrum at weak coupling has a hidden symmetry due to integrability of the underlying dilatation operator which drives the evolution. In perturbative regime, we demonstrate the equivalence of the one-loop cusp anomaly to the disk partition function in two-dimensional Yang-Mills theory which admits a string representation. The strong coupling regime for anomalous dimensions is discussed within the two pictures addressed recently, -- minimal surfaces of open strings and rotating long closed strings in AdS background. In the latter case we find that the integrability implies the presence of extra degrees of freedom -- the string junctions. We demonstrate how the analysis of their equations of motion naturally agrees with the spectrum found at weak coupling.

Latex, 59 pages, 6 figures

References in corpus (1)

• Anomalous dimensions of Wilson operators in N=4 SYM theory

Cited by in corpus (136)

• Hidden Symmetries of the AdS_5 x S^5 Superstring
• The N=4 SYM Integrable Super Spin Chain
• Conformal collider physics: Energy and charge correlations
• Bethe Ansatz for Quantum Strings
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory
• Classical/quantum integrability in AdS/CFT
• 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
• Multi-spin string solutions in AdS_5 x S^5
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
• On planar gluon amplitudes/Wilson loops duality
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Universality of Long-Distance AdS Physics from the CFT Bootstrap
• The su(2|3) Dynamic Spin Chain
• Hexagon Wilson loop = six-gluon MHV amplitude
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Notes on Superconformal Chern-Simons-Matter Theories
• Spinning strings in AdS_5 x S^5 and integrable systems
• Comments on operators with large spin
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
• Precision Spectroscopy of AdS/CFT
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Integrable Hamiltonian for Classical Strings on AdS_5 x S^5
• Spinning strings and AdS/CFT duality
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• Deconfining Phase Transition as a Matrix Model of Renormalized Polyakov Loops
• Logarithmic scaling in gauge/string correspondence
• Four loop twist two, BFKL, wrapping and strings
• Spiky strings and single trace operators in gauge theories
• Integrability in QCD and beyond
• Yang-Mills Duals for Semiclassical Strings
• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
• Constructing the correlation function of four stress-tensor multiplets and the four-particle amplitude in N=4 SYM
• On Integrability of Classical SuperStrings in AdS_5 x S^5
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• Sudakov Resummation for Subleading SCET Currents and Heavy-to-Light Form Factors
• On the Strong Coupling Scaling Dimension of High Spin Operators
• Exciting the GKP string at any coupling
• Superconformal operators in N=4 super-Yang-Mills theory
• On spin chains and field theories
• The four-loop cusp anomalous dimension in N=4 super Yang-Mills and analytic integration techniques for Wilson line integrals
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• Nonlinear waves in AdS/CFT correspondence
• Bootstrapping Null Polygon Wilson Loops
• Twist-three at five loops, Bethe Ansatz and wrapping
• One-loop one-point functions in gauge-gravity dualities with defects
• On the Couplings of Vector Mesons in AdS/QCD
• Quantum integrability in (super) Yang-Mills theory on the light-cone
• Quantization of Integrable Systems and a 2d/4d Duality
• Integrable Open Spin Chains in Defect Conformal Field Theory
• Deconfinement in Matrix Models about the Gross--Witten Point
• Embedding nonlinear O(6) sigma model into N=4 super-Yang-Mills theory
• Pulsating Strings on AdS_5 x S^5
• Non-local charges on AdS_5 x S^5 and PP-waves
• Wavy Wilson Line and AdS/CFT
• Large spin corrections in $\mathcal{N}=4$ SYM sl(2): still a linear integral equation
• Scaling function in AdS/CFT from the O(6) sigma model
• Semiclassical strings and AdS/CFT
• Spiky strings, light-like Wilson loops and pp-wave anomaly
• Higher Conserved Charges and Integrability for Spinning Strings in AdS_5 x S^5
• Anomalous Dimensions from Crossing Kernels
• Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
• Integrable Spin Chain and Operator Mixing in N=1,2 Supersymmetric Theories
• Semiclassical Strings on AdS_5 x S^5/Z_M and Operators in Orbifold Field Theories
• Cusped SYM Wilson loop at two loops and beyond
• Strong coupling for planar $\mathcal{N}=4$ SYM theory: an all-order result
• Duality between Wilson loops and gluon amplitudes
• Integrability of two-loop dilatation operator in gauge theories
• Twist 3 of the sl(2) sector of N=4 SYM and reciprocity respecting evolution
• Integrability in N=2 superconformal gauge theories
• Quantum corrections to energy of short spinning string in AdS5
• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
• The Resurgence of the Cusp Anomalous Dimension
• Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
• Four loop reciprocity of twist two operators in N=4 SYM
• Semiclassical circular strings in AdS_5 and "long" gauge field strength operators
• Nonperturbative scales in AdS/CFT
• Anomalous Dimensions from a Spinning D5-Brane
• Spiky strings in AdS_3 x S^1 and their AdS-pp-wave limits
• Luescher formula for GKP string
• Open Semiclassical Strings and Long Defect Operators in AdS/dCFT Correspondence
• Review of AdS/CFT Integrability, Chapter IV.4: Integrability in QCD and N<4 SYM
• N=2 Super Yang-Mills and the XXZ spin chain
• Spin Models and Superconformal Yang-Mills Theory
• The Hagedorn temperature of AdS5/CFT4 via integrability
• Spiky Strings and Spin Chains
• Folded Three-Spin String Solutions in AdS_5 x S^5
• Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence
• The structure of IR divergences in celestial gluon amplitudes
• Lattice Super Yang-Mills: A Virial Approach to Operator Dimensions
• Reciprocity of gauge operators in N=4 SYM
• Comments on gluon 6-point scattering amplitudes in N=4 SYM at strong coupling
• Open Spinning Strings and AdS/dCFT Duality
• On wrapping corrections to GKP-like operators
• Extraction of parton distributions from lattice QCD
• The Dilatation Operator of $\mathcal{N}$ $=$ 4 SYM and Classical Limits of Spin Chains and Matrix Models
• On correlation functions of Wilson loops, local and non-local operators
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Gluon scattering in $\mathcal{N}=4$ Super Yang-Mills at finite temperature
• Fusion hierarchies for N = 4 superYang-Mills theory
• Integrability and Higher Loops in AdS/dCFT Correspondence
• Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models
• The su(2|3) Undynamic Spin Chain
• Spiky strings in the SL(2) Bethe Ansatz
• Scaling dimensions at small spin in N=4 SYM theory
• String bits without doubling
• From effective actions to the background geometry
• A large spin limit of strings on AdS_5 x S^5 in a non-compact sector
• Integrable Spin Chains on the Conformal Moose
• Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension
• Coherent state excitations and string-added coherent states in gauge-gravity correspondence
• Sum rules for higher twist sl(2)operators in N=4 SYM
• Instanton effects in quark form factor and quark-quark scattering at high energy
• A Spin Chain from String Theory
• TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT
• Wilson loops and anomalous dimensions in cascading theories
• Gauge Theories as String Theories: the First Results
• Modelling duality between bound and resonant meson spectra by means of free quantum motions on the de Sitter space time dS4
• One-loop derivation of the Wilson polygon - MHV amplitude duality
• Quasiclassical Geometry and Integrability of AdS/CFT Correspondence
• Analytic Bethe Ansatz and Baxter equations for long-range psl(2|2) spin chain
• On the short string limit of the folded spinning string in AdS5 x S5
• Proton's Electromagnetic Form Factors from a Non-Power Confinement Potential
• Nonforward anomalous dimensions of Wilson operators in N=4 super-Yang-Mills theory
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• Color confinement at the boundary of the conformally compactified ${\mathrm{AdS}}_5$
• Anomalous dimensions of twist-2 conformal operators in supersymmetric Wess-Zumino model
• QCD-like properties for anomalous dimensions in N=4 SYM
• Anomalous dimensions from rotating open strings in AdS/CFT
• Operator with large spin and spinning D3-brane
• Potentials on the conformally compactified Minkowski spacetime and their application to quark deconfinement
• Spiky Strings with Two Spins in AdS5
• Jet Physics from Static Charges in AdS
• Leading quantum correction to energy of "short" spiky strings