Lattice simulations of QCD-like theories at non-zero density

TL;DR

This paper reviews lattice simulations of QCD-like theories at non-zero density, focusing on two-colour QCD with real actions, comparing results with chiral perturbation theory, and exploring implications for real QCD.

Contribution

It provides a comprehensive overview of lattice studies of two-colour QCD at finite density and discusses how these insights can inform understanding of real QCD.

Findings

Lattice simulations of two-colour QCD align with chiral perturbation theory predictions.

Symmetry properties of two-colour QCD are thoroughly described.

Lessons from two-colour QCD may help address challenges in simulating real QCD at finite density.

Abstract

One way of avoiding the complex action problem in lattice QCD at non-zero density is to simulate QCD-like theories with a real action, such as two-colour QCD. The symmetries of two-colour QCD with quarks in the fundamental and in the adjoint representation are described, and the status of lattice simulations is reviewed, with particular emphasis on comparison with predictions from chiral perturbation theory. Finally, we discuss how the lessons from two-colour QCD may be carried over to physical QCD.