Multiparticle production in the mean field approximation of high density QCD

TL;DR

This paper introduces a generating functional approach for multiparticle production in high density QCD, deriving new equations in the mean field approximation that generalize existing models like the Kovchegov-Levin equation.

Contribution

It presents a novel generating functional framework and derives two key equations, extending the understanding of multiparticle processes in high density QCD.

Findings

Derived linear and non-linear functional equations for multiparticle production

Generalized the Kovchegov-Levin equation to fixed multiplicity processes

Provided a new theoretical tool for analyzing high density QCD phenomena

Abstract

The generating functional is suggested for multiparticle generation processes. In mean field approximation of high density QCD two equations for new generating functional are derived: linear functional equation for an arbitrary initial condition and non-linear one for a specific initial condition. The non-linear equation has the form of Kovchegov-Levin equation for diffraction production and gives its generalization on the processes with fixed multiplicities of produced particles.