Hadron physics from lattice QCD

2016/05/25 by Wolfgang Bietenholz
Physics and Astronomy · #Hadron #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #hep-lat #hep-ph #physics.comp-ph

paper · pdf · doi:10.1142/s0218301316420088

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

arxiv created 2016/05/25 · openalex publication_date 2016/06/30 · arxiv updated 2016/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• A method for simulating chiral fermions on the lattice
• The renormalization group and the ε expansion
• Ab Initio Determination of Light Hadron Masses
• The QCD rotator in the chiral limit
• QCD at fixed topology
• Quarks, Gluons and Lattices
• Topology with dynamical overlap fermions
• Meron-Cluster Solution of Fermion Sign Problems
• Abelian chiral gauge theories on the lattice with exact gauge invariance
• Lattice QCD – from Quark Confinement to Asymptotic Freedom
• Hamiltonian formulation of Wilson's lattice gauge theories
• Review of strongly-coupled composite dark matter models and lattice simulations
• Big-Bang Nucleosynthesis