Yangian symmetry applied to Quantum chromodynamics

TL;DR

This paper reviews how Yangian symmetry can be applied to high-energy QCD phenomena, including scattering amplitudes, structure functions, and asymptotic behaviors, highlighting the role of Yangian symmetric correlators.

Contribution

It introduces the construction of Yangian symmetric correlators within the $g ext{l}(n)$ algebra framework and applies them to various high-energy QCD processes.

Findings

Yangian symmetry constrains tree scattering amplitudes

Yangian symmetric correlators relate to parton splitting functions

Application to high-energy asymptotics of scattering

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.