The course is held in the second half of the fall semester 2021. Lectures take place on Thursdays starting from 18.11, in room B1 from 10 to 12, and on Tuesdays 30.11 and 21.12 in room B1 from 10 to 12.
The lattice regularization of quantum chromodynamics (QCD), the quantum field theory of the strong interactions, is the only known framework that allows fully-systematic, ab-initio computations in the non-perturbative regime of QCD.
In this course, I will give an introduction to quantum field theories on the lattice, covering the lattice discretization of scalar and gauge fields, the different options for fermion fields and the Nielsen-Ninomiya theorem, the basics aspects of renormalization and the Symanzik improvement programme.
Computational strategies will be briefly mentioned.
In the second part of the course, I will discuss modern applications of lattice QCD to calculations of phenomenological interest.
Knowledge of quantum field theory and the path integral formulation.
Heinz J. Rothe, "Lattice gauge theories: An Introduction", Fourth Edition, World Scientific, https://doi.org/10.1142/8229
Christof Gattringer and Christian B. Lang, "Quantum Chromodynamics on the Lattice", Springer, https://doi.org/10.1007/978-3-642-01850-3
Proceedings of the Les Houches 2009 summer school, "Modern perspectives in lattice QCD: Quantum field theory and high performance computing", https://inspirehep.net/conferences/980081, https://doi.org/10.1093/acprof:oso/9780199691609.001.0001