Welcome to the website of the Lattice Field Theory group at Humboldt-Universität zu Berlin. Learn more about us, our research, our seminars and events. If you are a student, you can check out the courses offered by members of the group.
Lattice techniques are used to study various strongly-coupled quantum field theories, starting from a Euclidean path-integral formulation. The continuous Euclidean spacetime is replaced with a lattice, which provides an ultraviolet regulator. The discretized path-integral can be calculated by means of numerical simulation.
The prime application of lattice field theory is Quantum Chromodynamics (QCD), which governs the physics of hadrons. The fundamental fields of QCD are quarks and gluons, but these do not exist as particles in isolations: since the strength of the QCD interaction increases with the distance, quarks and gluons are confined into complicated composite particles called hadrons such as protons, neutrons, pions, kaons, etc. The structure and properties of hadrons are not accessible via perturbation theory, but they can be numerically calculated in the framework of lattice simulations.