Yangian symmetry applied to Quantum chromodynamics

Abstract

We review applications of Yangain symmetry to high-energy QCD phenomenology. Some basic facts about high-energy QCD are recalled, in particular the spinor-helicity form of scattering amplitudes, the scale evolution equations of deep-inelastic scattering structure functions and the high-energy asymptotics of scattering. As the working tool the Yangian symmetric correlators are introduced and constructed in the framework of the Yangian algebra of $g\ell (n)$ type. We present the application to the tree scattering amplitudes and their iterative relation, to the parton splitting amplitudes and the kernels of the scale evolution equations of structure functions and to the equations describing the high-energy asymptotics of scattering.

arXiv comment48 pages, 5 figures

References in corpus (37)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Perturbative Gauge Theory As A String Theory In Twistor Space
• BFKL pomeron in the next-to-leading approximation
• The N=4 SYM Integrable Super Spin Chain
• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• Energy Scale(s) and Next-to-leading BFKL Equation
• Factorization and high-energy effective action
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• A Duality For The S Matrix
• Small-x physics in perturbative QCD
• NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories
• Integrability of three-particle evolution equations in QCD
• Deep inelastic scattering as a probe of entanglement
• The Grassmannian Origin Of Dual Superconformal Invariance
• The S-Matrix in Twistor Space
• On determination of the large-$\frac{1}{x}$ gluon distribution at HERA
• Interactions of Reggeized Gluons in the Möbius Representation
• Harmonic R-matrices for Scattering Amplitudes and Spectral Regularization
• Yang-Baxter operators and scattering amplitudes in $\mathcal{N}=4$ super-Yang-Mills theory
• Spectral Parameters for Scattering Amplitudes in N=4 Super Yang-Mills Theory
• Symmetry Properties of the Effective Action for High-Energy Scattering in QCD
• N=4 Scattering Amplitudes and the Deformed Grassmannian
• On Yangian-invariant regularisation of deformed on-shell diagrams in N=4 super-Yang-Mills theory
• Entanglement entropy production in deep inelastic scattering
• Integrable Amplitude Deformations for N=4 Super Yang-Mills and ABJM Theory
• A dictionary between R-operators, on-shell graphs and Yangian algebras
• Yang-Baxter R operators and parameter permutations
• Yangian symmetric correlators
• Gauge Theory Amplitudes, Scalar Graphs and Twistor Space
• Correlators with $s{\ell }_2$ Yangian symmetry
• Parton interactions in the Bjorken limit of QCD
• Yangian and SUSY symmetry of High Spin Parton Splitting Amplitudes in Generalised Yang-Mills Theory
• Symmetric reggeon interaction in perturbative QCD
• t-channel Approach to Reggeon Interactions in QCD