Parton Cascades, Small x, and Saturation in High Energy Collisions

TL;DR

This paper discusses the theoretical framework of parton cascades, small x evolution, and saturation phenomena in high energy particle collisions, highlighting models like BFKL, BK, and the Lund Dipole Cascade in a comprehensive review.

Contribution

It provides an integrated overview of particle production dynamics, including recent developments in saturation physics and the implementation of the Lund Dipole Cascade model.

Findings

Analysis of small x evolution using BFKL and BK equations.

Implementation of the Lund Dipole Cascade model in DIPSY MC.

Insights into saturation effects at high densities.

Abstract

These lecture notes are a combination of two lectures and a contribution to the celebration of Andrzej Bia{\l}as' birthday at the LI Cracow School of Theoretical Physics in June 2011. I here discuss the dynamics of particle production in high energy reactions. It includes parton cascades and hadronization in e+e--ann., small x evolution including the Double Leading Log approximation and the BFKL equation, saturation at high densities and the BK equation, and finally the Lund Dipole Cascade model for high energy collisions, which is implemented in the DIPSY MC.