Saturation effects in QCD from linear transport equation

TL;DR

This paper demonstrates that the Golec-Biernat Wüsthoff (GBW) saturation model exactly solves a linear transport equation, linking it to the Balitsky-Kovchegov (BK) equation in the saturated regime, highlighting the model's theoretical foundation.

Contribution

The paper establishes an exact solution of the GBW saturation model to a linear transport equation, connecting it to the BK equation in the saturated regime.

Findings

GBW model solves a linear transport equation exactly

Connection between GBW model and BK equation in saturation regime

Balance of diffusion, splitting, and nonlinear terms in the model

Abstract

We show that the GBW saturation model provides an exact solution to the one-dimensional linear transport equation. We also show that it is motivated by the BK equation considered in the saturated regime when the diffusion and the splitting term in the diffusive approximation are balanced by the nonlinear term.