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Instructors: apl. Prof. Dr. Georg von Hippel
Event type:
Lecture/practice class
Displayed in timetable as:
08.128.746
Hours per week:
4
Credits:
6,0
Language of instruction:
Englisch
Min. | Max. participants:
- | -
Requirements / organisational issues:
Required: Statistical and Quantum Mechanics, Classical Electrodynamics and Special Relativity, Nuclear and Particle Physics 1.
Desirable: Quantum Field Theory 1.
Contents:
Statistical Mechanics and Quantum Field Theory: discretization of classical field theories; path integrals in Quantum Mechanics; euclidean correlator functions.
Discrete models: Ising model; Mean-field approximation; high- and low-temperature expansions; correlation functions; critical exponents; transfer matrix.
Gauge theories: Z2 lattice gauge theorry; Elitzur's theorem; duality of lattice models; continuous gauge groups; Haar measure; Wilson loop.
Lattice QCD: action; fermions on the lattice; gauge invariance in QED and QCD; static potential; renormalization group and continuum limit; lattice perturbation theory; computing hadron properties.
Recommended reading list:
G. Parisi, Statistical Field Theory (Frontiers in Physics, 66), Addison-Wesley, Redwood City 1988.
J.B. Kogut, An Introduction to Lattice Gauge Theory and Spin Systems, Rev. Mod. Phys. 51 (1979) 659.
C. Gattringer and C.B. Lang, Quantum Chromodynamics on the Lattice (Lect. Notes Phys. 788), Springer, Berlin Heidelberg 2010.
J. Smit, Introduction to Quantum Fields on a Lattice: a robust mate (Cambridge Lect. Notes Phys. 15), Cambridge University Press 2002.
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