Quantum Elektrodynamics (QED). I want to stress I consider the content of the lectures and the exercises as the true basis of the exam. There are many other books on quantum field theory. Some are good, others are better left alone. A good introductory, but slightly light book is Lewis Ryder’s “Quantum Field Theory”. Quantum Field Theory', 2nd Edition. 20., 13.30 - 15.15 Review of the properties of the self-energy, Green’s functions and the vertex proper functions. Schroeder, An Introduction to Quantum Field Theory, Westview Press, 1995 A book often recommended for the QFFF MSc. For this course only chapters 1 and 3 are essential and we will also look at parts of chapter 2. Ryder, Quantum Field Theory, 1985. A relatively simple level book. Mandl and Shaw, Quantum Field Theory, 1993. This book and this website aim to make learning, and teaching, quantum field theory (QFT) easier, and thus, more efficient and fulfilling. Both the book and the website are products of extensive student input, incorporate innovative teaching methodologies, and avoid conciseness in favor of elaborate explanations.
V 2019 The lectures give an introduction into quantum field theory using path integral methods. Prerequisite is a good knowledge of quantum mechanicsand special relativity;having followed 'FY3403 Particle Physics' is useful but not necessary. Aim is an understanding of quantum field theory as the underlying structure of the standard model of particle physics and as an importantworking tool in statistical physics. Lecturer, time and place:Michael Kachelrieß,email;office: E3-126Lectures: Monday 14.15-16.00, D4-132. Lectures + Exercises: Thursday 12.15-14.00, D4-132. Last lecture: Thursday, April 25. Question session: Thursday 16.5., start 12.15 in D4-132. Please email topics to review beforehand. |
Topics covered:
- Path integrals in quantum mechanics
- Classical relativistic wave equations and field theory
- lambda phi4 theory
- Scattering
- Quantum electrodynamics, non-abelian gauge theories
- Renormalization
Plan of the lectures
Week 2: Principles of classical and quantum mechanics, path integral (1.1, 2.2).Week 3: Green functions in QM, oscillator; free scalar field, (2.3, 2.4, 3.1-2).
Week 4: propagator, Yukawa potential (3.2), free Green functions (3.3).
Week 5: Casimir effect (3.4), perturbation theory (4.1-2).
Week 6: loop diagrams (4.3).
Week 7: loop diagrams (4.3), Symmetries (5.1-2).
Week 8: Symmetries (5.1-2), Weyl spinors (8.1), Dirac equation (8.1-2).
Week 9: Dirac equation (8.2).
Week 10: Dirac quantisation (8.3), Weyl/Majorana (8.4), S-matrix (9.1).
Week 11: Monday lecture moved to week 18; Thu: LSZ (9.2)
Week 12: no lecture - home exam
Week 13: basics scattering, soft(9.4), (non-) abelian gauge (10.1-2)
Week 14: QED+QCD (10.2.1, 10.3)
Week 15: Anom. mag. moment (11.2), power-counting (11.3), renormalisation of phi^4 theory (11.4)
Week 16: Easter break
Week 17: only Thursday: renormalisation of phi^4 theory (11.4), outlook.
where e.g. (2.6) refers to the corresponding section in the lecture notes.
Pensum
The pensum is defined by the content of the lectures. We will follow roughlymy lecture notes, see the link below. As alternatives, I suggest you to goto the library and to test several QFT books. Some recommend ones are- D. Bailin and A. Love, Introduction to Gauge Field Theory, Adam Hilger
[one of first books based on path integrals, still very readable] - M. Kachelriess, Quantum Fields: From the Hubble to the Planck Scale, Oxford University Press.
For a freely available draft see here - M. Maggiore, A Modern Introduction to Quantum Field Theory, Oxford University Press.
[clear and short, contains most of QFT1] - T. Lancaster and S. Blundell, Quantum Field Theory for the gifted amateur, Oxford University Press.
[very pedagogical introduction of basic concepts] - M. Peskin and D. Schroeder, Quantum Field Theory, Perseus Press.
[the 'standard QFT' book of the 1990s] - L. Ryder, Quantum Field Theory, Cambridge University Press
- Schwartz, Quantum Field Theory and the Standard Model, Cambridge University Press 2014.
[a good mixture of physical picture and detailed calculations] - M. Srednicki, Quantum Field Theory, Cambridge University Press.For a freely available draft seehere
[the right book, if you want to get the factors i and 2 right...] - A. Zee, Quantum Field Theory in a Nutshell, Princeton University Press
[provides clear physical picture, but especially in later parts pretty sketchy.]
A home exam counts 33%, the final exam 67% to the mark.
The pensum is defined by the content of the lectures and the notes.
Ryder Quantum Field Pdf Editor Free
Lectures notes
You can download a script fromhere.If you find errors, let me know.Corrections:
Language corrections are welcome, but not listed below; see also for the erratum ofthe book.Playing The Quantum Field
Exercises
Week 2: Self-study of chapter 1 and 2.1 in the lecture notes.Week 3: exercises 1and solutions.
Week 4: exercises 2and solutions.
Week 5: exercises 3and solutions.
Week 5: exercises 4and solutions. plussym. factors(plus one more example).
Week 6: exercises 5and solutions.
Week 8: exercises 6and solutionsplus Feynman diagrams.
Week 9: exercises 7and solutions,
Week 10: exercises 8
Week 12: exercises 9and solutions,
Week 14: exercises 10and solutions.
Home exam
The home exam is scheduled for the week 12.The exercises will be available Thursday, 14.03, 14.00 after thelectures. Or you can download the exam here.Solutions should be handed in Friday 22.03, latest 15.00, in mymailbox (D5-166) or by email. Solutions are here.Exam
The written exam takes place on 21.05.2019. Some previous exams:- 2013 exam and solutions
- 2014 exam and solutions
- 2015 exam and solutions
- 2016 exam and solutions
- 2017 exam and solutions
- 2018 exam and solutions
Marks and solutions
The exam with solutions, marks:- 10003: C
- 10004: C
- 10006: A
- 10007: B
- 10009: A
- 100010: B
- 100012: A
- 100014: B
- 100015: B
- 100016: A
- 100018: A
- 100020: D
- 100021: A
- 100022: A
- 100023: B
Useful links
The particle data group PDG is the authoritative source of information on elementary particles.The MadGraph page generates for you fortran code that does cross section calculations and generateevents for standard model processes plus few extensions. (You have to register, and to run the producedcode on your own computer.) Alternatively, you can download Madgraph from here and install it on yourcomputer.
You can download CalcHEP from thispage.