Inhalt der Vorlesung:

• Pfadintegrale und Funktionalintegrale
• Skalare Feldtheorie auf dem Gitter
• Gittereichtheorie
• Fermionen auf dem Gitter
• Gitterformulierung der Quantenchromodynamik
• Numerische Simulationen mit Monte-Carlo-Methoden

Voraussetzungen:

Zur Feldtheorie auf dem Gitter:

• M. Creutz, Quarks, Gluons and Lattices, Cambridge University Press, Cambridge, 1983
• H.J. Rothe, Lattice Gauge Theories: An Introduction, World Scientific, Singapore, 1992; 3rd ed., 2005
• I. Montvay, G. Münster, Quantum Fields on a Lattice, Cambridge University Press, Cambridge, 1994
• J. Smit, Introduction to Quantum Fields on a Lattice, Cambridge Lecture Notes in Physics 15, Cambridge University Press, Cambridge, 2002
• R. Gupta, Introduction to Lattice QCD, Lecture Notes of the Les Houches Summer School, 1997, hep-lat/9807028
• M. Lüscher, Advanced Lattice QCD, Lecture Notes of the Les Houches Summer School, 1997, hep-lat/9802029
• G. Münster, Field Theory, Critical Phenomena and Interfaces, Graduiertenkolleg Erlangen-Regensburg, 1995, hep-th/9610197
• G. Münster, M. Walzl, Lattice Gauge Theory - A Short Primer, Lecture Notes of the PSI Zuoz Summer School, 2000, hep-lat/0012005
• M. Lüscher, Chiral gauge theories revisited, Lecture Notes of the International School of Subnuclear Physics, Erice, 2000, hep-th/0102028

Zur Monte-Carlo-Methode:

• K. Binder, D.W. Heermann, Monte Carlo Simulation in Statistical Physics: An Introduction, Springer, 1989; 3rd ed., 1997
• D.W. Heermann, Computer Simulation Methods in Theoretical Physics, 2nd ed., Springer, 1990
• D.P. Landau, K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics, Cambridge University Press, 2000
• A.D. Sokal, Monte Carlo Methods in Statistical Physics: Foundations and New Algorithms, Lecture Notes of the Cours de Troisieme Cycle de la Physique en Suisse Romande, Lausanne, 1989, updated 1996
• M.E.J. Newman, G.T. Barkema, Monte Carlo Methods in Statistical Physics, Clarendon Press, 1999
• B. Berg, Introduction to Markov Chain Monte Carlo Simulations and their Statistical Analysis, cond-mat/0410490

• Introduction to Lattice Gauge Theory, J. Heitger, Blockvorlesung APE-Tutorial, DESY-Zeuthen 2002
• Introduction to Lattice QCD: Foundations, U. Wolff, Graduiertenkolleg-Blockkurs, Humboldt-Universität Berlin 2004
• Algorithms for Lattice Gauge Theory, M. Hasenbusch, Blockvorlesung APE-Tutorial, DESY-Zeuthen 2002
• Monte-Carlo-Simulationen in der Physik mit praktischen Übungen, G. Münster, F. Farchioni, Münster, Vorlesung WS 2004/05