Hadron Physics from Lattice QCD

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.

Comments: 30 pages, LaTex, 11 figures, invited contribution to a Focus-Issue of World Scientific entitled "Modern Topics on non-perturbative QCD: Theory and Experiment"