Hadron Physics from Lattice QCD

TL;DR

This paper discusses lattice QCD methods for non-perturbative hadron physics, covering computational techniques, key results like hadron masses, and addressing challenges such as topological freezing and the sign problem.

Contribution

It provides an overview of lattice QCD techniques, highlights recent results on hadron masses, and discusses unresolved issues in the field.

Findings

Numerical measurements of hadron masses agree with experimental data.

Lattice QCD effectively links to Chiral Perturbation Theory.

Topological freezing and the sign problem remain significant challenges.

Abstract

We sketch the basic ideas of the lattice regularization in Quantum Field Theory, the corresponding Monte Carlo simulations, and applications to Quantum Chromodynamics (QCD). This approach enables the numerical measurement of observables at the non-perturbative level. We comment on selected results, with a focus on hadron masses and the link to Chiral Perturbation Theory. At last we address two outstanding issues: topological freezing and the sign problem.