Collision integral in a model for scalar quarks and gluons

TL;DR

This paper develops a transport model for scalar quarks and gluons, deriving a generalized Boltzmann equation that includes detailed collision integrals and scattering processes up to two loops.

Contribution

It introduces a novel scalar quark-gluon model to derive comprehensive transport equations with detailed collision integrals and loop corrections.

Findings

Derived a generalized Boltzmann equation for scalar quarks and gluons.

Included all two-to-two scattering processes and q̄q→g corrections.

Organized self-energy diagrams by loop order for systematic analysis.

Abstract

A model of scalar quarks and scalar gluons is used to derive transport equations for quarks and gluons. In particular, the collision integral is studied. The self-energy diagrams are organized according to the number of loops. A generalized Boltzmann equation is obtained, which involves at the level up to two loops all possible two -> two parton scattering processes and corrections to the process q bar q -> g.