Selected results in lattice quantum chromodynamics

The results of the Budapest–Marseille–Wuppertal Collaboration are summarized. Both T = 0 and T > 0 findings are presented. Special emphasis is put on the “physical point” (which is used to describe results with physical quark masses extrapolated all the way to the continuum limit). At T = 0, the light hadron spectrum, FK/Fπ, the quark masses, and the kaon bag parameter are discussed. At T > 0, results for the nature of the quantum chromodynamics transition, the transition temperature, the equation of state (both at vanishing and nonvanishing chemical potentials), the curvature of the phase diagram, and the effects of magnetic fields are discussed. All these results are full results (representing findings at physical quark masses in the continuum limit)