Quantum Field Theory II
Tuesday & Thursday, 9:15-11:00, gHS Pw 12 [LSF]
Prerequisites: quantum mechanics, classical field theory, statistics, basic knowledge of QFT
Content of lecture series
In the lecture course advanced topics in quantum field theory are discussed.
- Outline
- Path integral
quantisation:
path integral, correlation functions, Feynman rules, lattice theory
- Gauge theories:
Faddeev-Popov quantisation, BRST-symmetry, non-perturbative aspects
- Renormalisation theory:
renormalisation group equations, beta-functions, renormalisability, fixed points & critical phenomena
- Applications:
QCD, Operator product expansion (OPE), spontaneous symmetry breaking, standard model, anomalies & topology
- Quantum field theory, basics
- Quantum field theory, applications
Kugo Eichtheorie Springer, 1997 Miransky Dynamical Symmetry Breaking in Quantum Field Theories World Scientific, 1993 Montvay, Münster Quantum Fields on a Lattice Cambridge UP, 1997 Muta Foundations of Quantum Chromodynamics World Scientific, 1987 Nachtmann Elementarteilchenphysik - Phänomene und Konzepte Vieweg,1992 Pokorski Gauge Field Theories Cambridge UP, 1987 Rothe Lattice Gauge Theories World Scientific, 2005 Wu-Ki Tung Group Theory in Physics World Scientific, 1985 Zinn-Justin Quantum Field Theory and Critical Phenomena Oxford UP, 1993
- Textbooks on the renormalisation group and critical phenomena
Amit Field Theory, the Renormalization Group, and Critical Phenomena World Scientific Binney, Dowrick, Fisher, Newman The Theory of Critical Phenomena, an Introduction to the Renormalization Group Clarendon Press, Oxford Cardy Scaling and Renormalization in Statistical Physics Cambridge UP Collins Renormalization Springer Parisi Statistical Field Theory Addison-Wesley
- Textbooks on geometry & topology in physics
Bertlmann Anomalies in Quantum Field Theory Oxford UP, 2000 Nakahara Geometry, Topology and Physics Hilger Nash & Sen Topology And Geometry For Physicists Academic
Literature
Haag | Local Quantum Physics | Springer, 1996 | |
Itzykson, Zuber | Quantum Field Theory | McGraw-Hill, 1980 | |
Mandl, Shaw | Quantum Field Theory | Wiley, 1993 | |
Peskin, Schroeder | An Introduction to Quantum Field Theory | Addison Wesley, 1995 | |
Ramond | Field Theory. A Modern Primer | Addison Wesley, 1999 | |
Ryder | Quantum Field Theory | Cambridge UP, 1996 | |
Siegel | Fields | hep-th/9912205 | |
Srednicki | Quantum Field Theory | Cambridge UP, 2007 | |
Stone | The Physics of Quantum Fields | Springer, 2000 | |
Weinberg | The Quantum Theory of Fields, Vol. 1-2 | Cambridge UP, 1996 |