Symmetry Properties of the Effective Action for High-Energy Scattering in QCD

TL;DR

This paper investigates the symmetry properties of the effective action in high-energy QCD scattering, aiming to improve upon existing approximations by deriving a new action framework with specific symmetry relations.

Contribution

It introduces a new effective action for high-energy QCD scattering that incorporates symmetry properties and supersymmetry relations, advancing beyond traditional approximations.

Findings

Derived the effective action using graphical rules and functional integration.

Identified Weizsäcker-Williams type relations in the action.

Utilized supersymmetry to relate quark and gluon terms.

Abstract

We study the effective action describing high-energy scattering processes in the multi-Regge limit of QCD, which should provide the starting point for a new attempt to overcome the limitations of the leading logarithmic and the eikonal approximations. The action can be obtained via simple graphical rules or by integrating in the QCD functional integral over momentum modes of gluon and quark fields that do not appear explicitely as scattering or exchanged particles in the considered processes. The supersymmetry is used to obtain the terms in the action involving quarks fields from the pure gluonic ones. We observe a Weizs\"acker - Williams type relations between terms describing scattering and production of particles.