Dr. habil. Georg Bergner
Room: Abb 202
Tuesday from February 23 until April 26, 14:15-16:00, room 119
No lecture on April 22 and 26
The numerical simulations on a space-time lattice are a well-established method for the investigation of strongly coupled quantum field theories. Especially our knowledge about Quantum Chromodynamics (QCD) relies to a large extend on this numerical approach. It is extremely important to relate the bound state spectrum and important mechanisms like confinement to the fundamental theory. This course offers a brief review about the methods of numerical lattice simulations. I will start with a summary of the foundations based on the path integral formulation and statistical physics. Then the techniques for the representation of a quantum field theory with scalar, gauge, and fermion fields on the lattice will be reviewed. In the end of the course I will focus on the applications in QCD and Yang-Mills theories concerning the bound state spectrum and thermodynamics. The general aim of the course is to provide an overview about the prospects and challenges of the method for non-experts in the field.