08.128.747 Functional Methods and Exact Renormalization Group

Course offering details

Instructors: Univ.-Prof. Dr. Martin Reuter

Event type: Lecture

Displayed in timetable as: 08.128.747

Hours per week: 4

Credits: 6,0

Language of instruction: Englisch

Min. | Max. participants: - | -

Contents:
In many areas of modern research, ranging from condensed matter theory to high energy physics and quantum gravity, quantization by functional integrals has superseded the traditional approach of canonical quantization, i.e., the one that is adopted by almost all introductory texts and lectures on quantum mechanics and Quantum Field Theory.
The lecture in WiSe 2021/22 provides an elementary introduction to the concept functional integrals with applications to nonrelativistic quantum mechanics.
The lecture series is continued in SoSe 2022 with a detailed exposition of functional integrals in Quantum Field Theory, along with an introduction to a number of related modern developments, the Functional Renormalization Group in particular.
Both parts of this lecture series are fully selfcontained.

Contents (WiSe 2021/22):
- From canonical to functional integral quantization
- General properties of functional integrals
- Application to elementary systems (free particle, harmonic oscillators, general quartic systems,...)
- Spectra and wave functions
- Oscillator with time dependent frequancy
- Topologically nontrivial configuration spaces
- Semiclassical Methods
- Euclidean functional integrals
- Instantons
- Tunneling processes

Recommended reading list:
- L. S. Schulman, Techniques and Apllications of Path Integration, J. Wiley
- A. Das, Field Theory: A Path integral Approach, World Scientific
- C. Grosche, F. Steiner, Handbook of Feynman Path Integralls, Springer
- G. Roepstorff, Path Integral Approach to Quantum Physics, Springer
- B. Felsager, GEometry, Particles and Fields, Springer
- H. Kleinert, PAth Integrals, World Scientific
- E. Gozzi, E. Cattaruzza, C. Pagani, Path Integrals for Pedestrians, World Scientific

Appointments
Date From To Room Instructors
1 Th, 21. Oct. 2021 12:15 13:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
2 Fri, 22. Oct. 2021 08:15 09:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
3 Th, 28. Oct. 2021 12:15 13:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
4 Fri, 29. Oct. 2021 08:15 09:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
5 Th, 4. Nov. 2021 12:15 13:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
6 Fri, 5. Nov. 2021 08:15 09:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
7 Th, 11. Nov. 2021 12:15 13:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
8 Fri, 12. Nov. 2021 08:15 09:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
9 Th, 18. Nov. 2021 12:15 13:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
10 Fri, 19. Nov. 2021 08:15 09:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
11 Th, 25. Nov. 2021 12:15 13:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
12 Fri, 26. Nov. 2021 08:15 09:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
13 Th, 2. Dec. 2021 12:15 13:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
14 Fri, 3. Dec. 2021 08:15 09:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
15 Th, 9. Dec. 2021 12:15 13:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
16 Fri, 10. Dec. 2021 08:15 09:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
17 Th, 16. Dec. 2021 12:15 13:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
18 Fri, 17. Dec. 2021 08:15 09:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
19 Th, 6. Jan. 2022 12:15 13:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
20 Fri, 7. Jan. 2022 08:15 09:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
21 Th, 13. Jan. 2022 12:15 13:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
22 Fri, 14. Jan. 2022 08:15 09:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
23 Th, 20. Jan. 2022 12:15 13:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
24 Fri, 21. Jan. 2022 08:15 09:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
25 Th, 27. Jan. 2022 12:15 13:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
26 Fri, 28. Jan. 2022 08:15 09:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
27 Th, 3. Feb. 2022 12:15 13:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
28 Fri, 4. Feb. 2022 08:15 09:45 01 231 Seminarraum E Univ.-Prof. Dr. Martin Reuter
Course specific exams
Description Date Instructors Mandatory
1. Oral Examination Time tbd Yes
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Instructors
Univ.-Prof. Dr. Martin Reuter