Sinya Aoki: Lattice QCD: Introduction, results and challenges

Lattice QCD is a non-perturbative definition of QCD (Quantum ChromoDynamics) on a discrete spacetime. I first give a comprehensive review on lattice QCD from the continuum QCD to numerical simulations. As a representative of lattice QCD investigations, I introduce hadron mass calculations including an extraction of a hadron mass from the hadron propagator, its quark mass dependence and its extrapolation to a zero lattice spacing limit. I also present the latest results on hadron spectra including electromagnetic corrections. Finally I explain a recent challenge in lattice QCD, an extraction of hadron interactions such as nuclear forces, starting from a definition of potentials in QCD to numerical results on scattering phase shifts. Throughout my talk, I comment on degrees of rigorousness of the lattice QCD method from time to time.

One world IAMP mathematical physics seminar