Advanced Quantum Field Theory (QFT II)
Tuesday & Thursday, 09:15-11:00, gHS Pw 12 [LSF]
- Content
- Literature
- Exercises & bonus material
- Script
- Written Exam:
Thursday, 27th of July, 9:00-11:00, gHS, Philosophenweg
12
Auxiliary Exam/Nachklausur: Monday, 9th of October, 11:00-13:00, Seminar room 106, Philosophenweg 12
Required: Identity card, sheets of paper, pencil
All necessary information will be on the exercise sheets, no further resources allowed - Registration
- QFT I, winter term 2016-2017
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 & confinement, Standard Model, operator product expansion (OPE), spontaneous symmetry breaking, 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 Muta Foundations of Quantum Chromodynamics World Scientific, 1987 Nachtmann Elementarteilchenphysik - Phänomene und Konzepte Vieweg,1992 Pokorski Gauge Field Theories Cambridge UP, 1987 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
- Lecture notes
Hebecker lecture courses QFT I & II 2015-2016 QFT I & QFT II Weigand lecture courses QFT I & II 2013-2014 QFT I & QFT II Pawlowski lecture courses QFT I & II 2016-17 & 2010 QFT I & QFT II
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 |