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.

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

References in corpus (9)

• Big-Bang Nucleosynthesis
• Ab-initio Determination of Light Hadron Masses
• Ab initio calculation of the neutron-proton mass difference
• Review of strongly-coupled composite dark matter models and lattice simulations
• Light Hadron Masses from Lattice QCD
• Finite volume QCD at fixed topological charge
• Up and down quark masses and corrections to Dashen's theorem from lattice QCD and quenched QED
• Overlap Hypercube Fermions in QCD Simulations Near the Chiral Limit
• Extracting hadron masses from fixed topology simulations

Cited by in corpus (4)

• Diquark Correlations in Hadron Physics: Origin, Impact and Evidence
• Low energy meson spectrum from a QCD approach based on many-body methods
• Theoretical estimates of the width of light-meson states in the SO(4) (2+1)-flavor limit
• Theoretical results for hadronic masses and their widths in the framework of the SO(4) model