Fine structure of spectrum of twist-three operators in QCD

Abstract

We unravel the structure of the spectrum of the anomalous dimensions of the quark-gluon twist-3 operators which are responsible for the multiparton correlations in hadrons and enter as a leading contribution to several physical cross sections. The method of analysis is bases on the recent finding of a non-trivial integral of motion for the corresponding Hamiltonian problem in multicolour limit which results into exact integrability of the three-particle system. Quasiclassical expansion is used for solving the problem. We address the chiral-odd sector as a case of study.

16 pages, LaTeX, 5 figures

References in corpus (2)

• Baryon Distribution Amplitudes in QCD
• Polarized Structure Functions in QCD

Cited by in corpus (98)

• Unraveling hadron structure with generalized parton distributions
• Transcendentality and Crossing
• The N=4 SYM Integrable Super Spin Chain
• 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
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• The su(2|3) Dynamic Spin Chain
• Spin chains and string theory
• SU(N) gauge theories at large N
• Planar N=4 gauge theory and the Inozemtsev long range spin chain
• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
• Matching Higher Conserved Charges for Strings and Spins
• Gauge/string duality for QCD conformal operators
• Spinning strings and AdS/CFT duality
• The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry
• Dressing and Wrapping
• Logarithmic scaling in gauge/string correspondence
• Anomalous dimensions of high-spin operators beyond the leading order
• Spiky strings and single trace operators in gauge theories
• Integrability in QCD and beyond
• A Shortcut to the Q-Operator
• On the highest transcendentality in N=4 SUSY
• Renormalization of twist-three operators and integrable lattice models
• Twist-three effects in two-photon processes
• Evolution of twist-3 multi-parton correlation functions relevant to single transverse-spin asymmetry
• Integrability and WKB solution of twist-three evolution equations
• Exciting the GKP string at any coupling
• Spiky strings and giant magnons on S5
• 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)
• Semiclassical strings in Sasaki-Einstein manifolds and long operators in N=1 gauge theories
• Dilatation operator in (super-)Yang-Mills theories on the light-cone
• Baxter Q-operator and Separation of Variables for the open SL(2,R) spin chain
• Superconformal operators in N=4 super-Yang-Mills theory
• Separation of variables for the quantum SL(2,R) spin chain
• Quantum integrability in (super) Yang-Mills theory on the light-cone
• Baryon Operators of Higher Twist in QCD and Nucleon Distribution Amplitudes
• Integrable Open Spin Chains in Defect Conformal Field Theory
• 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
• Noncompact Heisenberg spin magnets from high-energy QCD: II. Quantization conditions and energy spectrum
• Large spin corrections in $\mathcal{N}=4$ SYM sl(2): still a linear integral equation
• Higher Conserved Charges and Integrability for Spinning Strings in AdS_5 x S^5
• Integrable Open Spin Chain in Super Yang-Mills and the Plane-wave/SYM duality
• Open Spinning Strings
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
• Strong coupling for planar $\mathcal{N}=4$ SYM theory: an all-order result
• Integrability of two-loop dilatation operator in gauge theories
• Duality between Wilson loops and gluon amplitudes
• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
• Towards Baxter equation in supersymmetric Yang-Mills theories
• The Circular, Elliptic Three Spin String from the SU(3) Spin Chain
• Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• Analytic solution of the multiloop Baxter equation
• Scale Dependence of Twist-3 Quark-Gluon Operators for Single Spin Asymmetries
• Luescher formula for GKP string
• Baxter Q-operator for graded SL(2|1) spin chain
• The generalised scaling function: a note
• Review of AdS/CFT Integrability, Chapter IV.4: Integrability in QCD and N<4 SYM
• Spin Models and Superconformal Yang-Mills Theory
• Universal R-matrix as integral operator
• Spiky Strings and Spin Chains
• The Singlet g_2 Structure Function in the Next-to-Leading Order
• Baxter equation for long-range SL(2|1) magnet
• High Energy QCD: Stringy Picture from Hidden Integrability
• Evolution Equation for Generalized Parton Distributions
• Crosscap States in Integrable Field Theories and Spin Chains
• Multi-spin string solutions in AdS Black Hole and confining backgrounds
• OPE for null Wilson loops and open spin chains
• The generalised scaling function: a systematic study
• Strong coupling expansion of Baxter equation in N=4 SYM
• Noncompact SL(2,R) spin chain
• Fusion hierarchies for N = 4 superYang-Mills theory
• Renormalization of twist-four operators in light-cone gauge
• Nesting and Dressing
• On the high spin expansion in the $sl(2)$ $\mathcal{N}=4$ SYM theory
• One-Loop Corrections of Single Spin Asymmetries at Twist-3 in Drell-Yan Processes
• Dual conformal symmetry on the light-cone
• Baxter equation beyond wrapping
• Algebraic Bethe ansatz for U(1) Invariant Integrable Models: Compact and non-Compact Applications
• Gauge Theories as String Theories: the First Results
• Parton interaction in super Yang Mills theory
• TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT
• Parton interactions in the Bjorken limit of QCD
• Analytic Bethe Ansatz and Baxter equations for long-range psl(2|2) spin chain
• OPE in planar QCD from integrability
• On the Singular Behavior of the Chirality-Odd Twist-3 Parton Distribution e(x)
• QCD Evolutions of Twist-3 Chirality-Odd Operators
• Evolution of Chirality-odd Twist-3 Fragmentation Functions
• Separation of Variables for a flux tube with an end
• Universal R operator with Jordanian deformation of conformal symmetry
• Analytic continuation of Bethe energies and application to the thermodynamic limit of the $SL(2,\mathbb{C})$ non-compact spin chains
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Renormalization group flow of reduced string actions