The dimensionally reduced description of the high energy scattering and the effective action for the reggeized gluons

TL;DR

This paper develops a 2D effective model for high energy hadron scattering, derived via dimensional reduction, which, combined with virtual gluon exchange, reproduces Lipatov's hermitian effective action for gluon interactions.

Contribution

It introduces a dimensional reduction approach to derive a 2D effective model that aligns with Lipatov's hermitian gluon interaction action.

Findings

Derived a 2D model from high energy scattering kinematics.

Showed the 2D model reproduces Lipatov's effective action when supplemented.

Connected dimensional reduction with high temperature gauge theory concepts.

Abstract

We discuss the high energy scattering of hadrons with the multi - Regge kinematics. The effective $2D$ model for the interaction between the produced hard gluons appears as a result of the dimensional reduction, which is similar to the dimensional reduction $3+1$ D $\to 3$ D of the high temperature gauge theory. It is demonstrated that being supplemented by the exchange by virtual $3+1$ D gluons this $2D$ model gives rise to the hermitian version of the effective action of Lipatov for the interaction between the ordinary and the reggeized gluons.