Course Contents
Topics
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[*]The path integral in quantum mechanics
[*]QED and QCD in the continuum
[*]Euclidean correlation functions in quantum field theory; transfer matrix
[*]Pure gauge theory (Yang Mills)on the lattice and discretization of the gauge action; Wilson loops
[*]Haar measure
[*]Fermions and Grassmann-algebra
[*]Fermions on the lattice and the Wilson action
[*]Static quark potential and strong-coupling expansion
[*]Families of fermion discretizations
[*]Calculation of hadronic properties
[*]Renormalization and the continuum limit
[*]Methods for determining the hadron spectrum
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Accompanying topics:
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[*]Spin models
[*]Ising model at low and high temperatures
[*]Phase transitions and finite-size scaling
[*]Markov-chain Monte Carlo and importance sampling
[*]Statistical methos
[*]Algorithms for pure gauge theory
[*]Krylov subspace solvers
[*]Dynamical fermions and HMC
[*]Data analysis
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Literature
[list]
[*]C. Gattringer and C. B. Lang, Quantum Chromodynamics on the Lattice (Lect. Notes Phys. 788), Springer, Berlin Heidelberg 2010.
[*]T. DeGrand and C. DeTar, Lattice Methods for Quantum Chromodynamics, World Scientific Publishing Company (2006).
[*] J. Smit, Introduction to Quantum Fields on a Lattice: a robust mate (Cambridge Lect. Notes Phys. 15), Cambridge University Press 2002.
[*] I. Montvay and G. Münster, Quantum Fields on a Lattice, Cambridge University Press 1994.
[*] J.B. Kogut, An Introduction to Lattice Gauge Theory and Spin Systems, Rev. Mod. Phys. 51 (1979) 659.
[*] F. Kenchtli, M. Günther, M. Peardon, Lattice Quantum Chromodynamics -- Practical essentials (SpringerBriefs in Physics), Springer Netherlands (2017)
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Preconditions
The course builds on fundamentals from statistical mechanics, quantum, mechanics, classical electrodnamics and special relativity, as well as on a rudimentary knowledge of nuclear and particle physics.
Knowledge of quantum field theory I is highly useful.
Online Offerings
moodle
- Lecturer: MohlerDaniel