Non-linear evolution equation for gluon density at large values of coupling constant

TL;DR

This paper presents a nonlinear evolution equation for gluon densities at large coupling constants, including its derivation, numerical solution, and the resulting saturation scale in quantum chromodynamics.

Contribution

It introduces a new nonlinear evolution equation applicable at large coupling constants, expanding the understanding of gluon saturation in QCD.

Findings

Derived the nonlinear evolution equation for large  saturation scale computed.

Numerical solutions of the equation were obtained, demonstrating the behavior of gluon densities at large coupling.

The saturation scale was characterized, providing insights into high-density QCD regimes.

Abstract

The recently proposed nonlinear evolution equation \cite{Kutak:2013hda} for unintegrated gluon densities valid for large values of the QCD coupling constant $\bar{\alpha} _s$ is presented. In particular we outline its derivation, numerical solution and obtained saturation scale.