Reggeon webs, spin chains and the Odderon

TL;DR

This paper explores the integrability of scattering amplitudes at high energies, focusing on Odderon exchange modeled as spin chains, and introduces weighted graph complexity and scaling laws in these systems.

Contribution

It provides solutions for reggeon webs and spin chains in QCD and supersymmetric theories, introducing the concept of weighted graph complexity and related scaling laws.

Findings

Solution of reggeon webs and spin chains in momentum and rapidity space

Introduction of weighted graph complexity and scaling laws

Insights into high-energy scattering amplitude integrability

Abstract

At high center-of-mass energies scattering amplitudes enjoy a hidden integrability. An important example in QCD is Odderon exchange, a composite state of three reggeized gluons, with can be understood as a closed spin chain with periodic boundary conditions. In the N=4 supersymmetric Yang-Mills theory a similar open spin chain appears for the planar eight-point amplitude. We solve these two examples in transverse momentum and rapidity space, introducing the concept of weighted graph complexity and its associated emerging scaling laws.