physics769

Lattice QCD (T) - physics769

CourseLattice QCD (T)
Course No.physics769
CategoryTypeLanguageTeaching hoursCPSemester
ElectiveLecture with exercisesEnglish3+27ST/WT
Requirements for Participation:

Preparation: Quantum Mechanics 1+2, Quantum Field Theory 1

Form of Testing and Examination: Written / oral examination

Length of Course: 1 semester

Aims of the Course: To give an introduction to the quantum field theory on the lattice

Contents of the Course:
  • Introduction: Quantum mechanics on the lattice

  • Numerical algorithms

  • Spin systems on the lattice: The Ising model

  • Scalar field theory on the lattice: Discretization; Perturbation theory; Continuum limit

  • Gauge fields: Link variables; Plaquette action; Wilson loop and confinement

  • Fermions on the lattice: Fermion doubling; Different formulations for lattice fermions; Axial anomaly; Chiral fermions

  • Use of Effective Field Theory methods: Extrapolation in the quark masses; Resonances in a finite volume



Recommended Literature:

J. Smit, Introduction to quantum fields on a lattice: A robust mate, Cambridge Lect. Notes Phys. (2002)

I. Montvay and G. Münster, Quantum Fields on a Lattice, Cambridge Monographs on Mathematical Physics, Cambridge University Press 1994

C. Gattringer and Ch. Lang, Quantum Chromodynamics on the Lattice: An Introductory Presentation

Series: Lecture Notes in Physics, Vol. 788

H.J. Rothe, Lattice Gauge Theories: An Introduction, World Scientific, (2005)



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