Quantenfeldtheorie

What it is about

You will learn the fundamental concepts and calculation methods of quantum field theory: path integrals, perturbation theory and Feynman diagrams, Green's functions and their connection to scattering cross sections, as well as renormalization and effective field theories. In the end you will be able to perform perturbative calculations including loop corrections, quantize gauge theories and use the renormalization group to improve perturbative computations.

What you will be able to do

Green's functions determined perturbatively, including loop corrections
Derive scattering cross sections from Green's functions (LSZ reduction)
Quantize non-Abelian gauge theories and compute tree and loop processes
Understand and apply regularization and renormalization in calculations
Improve perturbative calculations with the help of the renormalization group (running of the coupling constant)
Construct effective field theories
Treat quantum fields with spin and fermionic path integrals; derive Feynman rules for general fields
Understand vector fields and gauge symmetries; fundamentals of quantum electrodynamics

What the module consists of

VorlesungDelivery of theoretical foundations, methods and example phenomena (mainly on blackboard)
HausaufgabenDeepening and application of methods to develop analytical and computational skills
Übungsgruppen / GruppenübungDiscussion of homework under guidance to promote independent explanation; active participation recommended
Präsentation (im Kurs)Occasional supplementary presentation of content (as needed)

Teaching method

TafelvortragMain form for introducing and deriving the theoretical content
Präsentation/FolienSupplementary as needed for structuring and visualization
HausaufgabenPractical deepening and practice of calculation methods
Gruppenübung/BesprechungEncourages autonomous explanation and discussion of solutions under tutor guidance

What you should already know

Keine zusätzlichen Vorkenntnisse über die Master-Zulassung hinaus; empfohlen: "Relativität, Teilchen, Felder"recommended

Assessment

Written examCalculation tasksComprehension questions

Written examination, 180 minutes. The exam will assess calculations and comprehension questions that demonstrate attainment of the learning goals (e.g., setting up Feynman rules, calculating one-loop corrections, applying regularization and renormalization, deriving effective field theories, determining Noether currents and Ward identities, calculating the beta function). Participation in tutorials is highly recommended. Bonus: Those who meet the mid-term performance (50% of exercises completed, at least two subproblems solved on the board, regular and active participation) receive a one-time grade improvement by one grade step (+0.3) for the module exam in the immediately following examination period, with 4.3 not upgraded to 4.0.

Reading list

Peskin & Schroeder - An Introduction to Quantum Field Theory
Weinberg - Quantum Theory of Fields
Schwartz - Quantum Field Theory and the Standard Model
Maggiore - A Modern Introduction to Quantum Field Theory
Coleman - Lectures on Quantum Field Theory

Dates

LectureQuantenfeldtheorie3 groups to choose from

AWed12:00–14:00
2502, Physik Hörsaal 2 (5101.EG.502)
15× · 14.10.–03.02.
- 14.10.
- 21.10.
- 28.10.
- 04.11.
- 11.11.
- 18.11.
- 25.11.
- 02.12.
- 09.12.
- 16.12.
- 23.12.
- 13.01.
- 20.01.
- 27.01.
- 03.02.
BWed14:00–16:00
2502, Physik Hörsaal 2 (5101.EG.502)
15× · 14.10.–03.02.
- 14.10.
- 21.10.
- 28.10.
- 04.11.
- 11.11.
- 18.11.
- 25.11.
- 02.12.
- 09.12.
- 16.12.
- 23.12.
- 13.01.
- 20.01.
- 27.01.
- 03.02.
CMon12:00–14:00
2502, Physik Hörsaal 2 (5101.EG.502)
15× · 12.10.–01.02.
- 12.10.
- 19.10.
- 26.10.
- 02.11.
- 09.11.
- 16.11.
- 23.11.
- 30.11.
- 07.12.
- 14.12.
- 21.12.
- 11.01.
- 18.01.
- 25.01.
- 01.02.

ExerciseZentralübung zu Quantenfeldtheorie

Wed14:00–16:00
2502, Physik Hörsaal 2 (5101.EG.502)
15× · 14.10.–03.02.
- 14.10.
- 21.10.
- 28.10.
- 04.11.
- 11.11.
- 18.11.
- 25.11.
- 02.12.
- 09.12.
- 16.12.
- 23.12.
- 13.01.
- 20.01.
- 27.01.
- 03.02.

ExerciseÜbung zu Quantenfeldtheorie3 groups to choose from

AWed16:00–18:00
CH 26410, Übungsraum (5406.01.641K)
15× · 14.10.–03.02.
- 14.10.
- 21.10.
- 28.10.
- 04.11.
- 11.11.
- 18.11.
- 25.11.
- 02.12.
- 09.12.
- 16.12.
- 23.12.
- 13.01.
- 20.01.
- 27.01.
- 03.02.
BMon14:00–16:00
3.310, Besprechung (5117.01.310)
15× · 12.10.–01.02.
- 12.10.
- 19.10.
- 26.10.
- 02.11.
- 09.11.
- 16.11.
- 23.11.
- 30.11.
- 07.12.
- 14.12.
- 21.12.
- 11.01.
- 18.01.
- 25.01.
- 01.02.
CMon16:00–18:00
019, LMU Hörsaal im Physik Werkstattgebäude (5123.EG.019)
15× · 12.10.–01.02.
- 12.10.
- 19.10.
- 26.10.
- 02.11.
- 09.11.
- 16.11.
- 23.11.
- 30.11.
- 07.12.
- 14.12.
- 21.12.
- 11.01.
- 18.01.
- 25.01.
- 01.02.

From the current semester, not binding. You attend one of several groups; the timetable automatically suggests the one with the fewest clashes.

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