An Effective Action for Quasi-elastic Scatterings in QCD

TL;DR

This paper derives a new effective action for high energy quark-quark scatterings in QCD, demonstrating factorization, Regge behavior, and unitarization, thus providing a natural field theory framework aligned with Lipatov's theory.

Contribution

A novel effective action for high energy QCD scatterings that incorporates quasi-elastic unitarity and factorization, connecting with Lipatov's theory.

Findings

Propagators factorize into transverse and longitudinal parts.

Scattering amplitudes expressed as products of 2D S-matrices.

Amplitude exhibits Regge behavior and is eikonalized.

Abstract

A new effective action for the high energy quark-quark scatterings is obtained by applying a scaling approximation to the QCD action. The propagators are shown to factorize into the transverse and the longitudinal parts so that the scattering amplitudes are given in terms of the products of two dimensional $S$-matrices. we show that our action provides a natural effective field theory for the Lipatov's theory of quark scatterings with quasi-elastic unitarity. The amplitude with quasi-elastic unitarity obtained from this action shows `Regge' behavior and is eikonalized.