Functional Methods in Quantum Mechanics and Quantum Field Theory II
Instructors: Univ.-Prof. Dr. Martin ReuterShortname: 08.128.734
Course No.: 08.128.734
Course Type: Vorlesung/Übung
Recommended reading list
Recommended reading list:- R. J. Rivers, Path Integral Methods in Quantum Field Theory, Cambridge University Press
- A. Das, Field Theory - A Path Integral Approach, World Scientific
- J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, Oxford University Press
- M. Le Bellac, Quantum and Statistical Field Theory, Oxford Univeristy Press
- A. Wipf, Statistical Approach to Quantum Field Theory, Springer
- M. Reuter and F. Saueressig, Quantum Gravity and the Functional Renormalization Group, Cambridge University Press
- A. Ashtekar, M. Reuter and C. Rovelli, arXiv:1408.4336
Contents
Functional Renormalization Group Equations are an important modern approach to the non-perturbative construction and investigation of statistical and quantum field theories. Their scope extends far beyond the traditional domain of renormalization ("elimination of infinities"), being a tool which in principle allows to completely "solve" the theory.This lecture aims at introducing the prerequisites of this approach in an elementary fashion, to outline its general properties, and to discuss some selected applications, including a brief outlook at non-perturbatively renormalized Quantum Einstein Gravity.
Topics will include: Elements of quantum field theory and statistical mechanics, the functional Schrödinger picture, functional differential equations à la Schwinger-Symanzik and functional integrals à la Feynman, effective actions, lattice field theory, Wilsonian renormalization group, continuum-based flow equations, critical phenomena, forms of non-perturbative UV limits, applications.
Remark: While helpful clearly, familiarity with the first lecture course of this series in WS 2021/22, is not assumed.
Dates
| Date (Day of the week) | Time | Location |
|---|---|---|
| 04/20/2022 (Wednesday) | 14:15 - 15:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 04/25/2022 (Monday) | 12:15 - 13:45 | 01 122 Newton-Raum 2413 - Neubau Physik/Mathematik |
| 04/27/2022 (Wednesday) | 14:15 - 15:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 05/02/2022 (Monday) | 12:15 - 13:45 | 01 122 Newton-Raum 2413 - Neubau Physik/Mathematik |
| 05/04/2022 (Wednesday) | 14:15 - 15:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 05/09/2022 (Monday) | 12:15 - 13:45 | 01 122 Newton-Raum 2413 - Neubau Physik/Mathematik |
| 05/11/2022 (Wednesday) | 14:15 - 15:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 05/16/2022 (Monday) | 12:15 - 13:45 | 01 122 Newton-Raum 2413 - Neubau Physik/Mathematik |
| 05/18/2022 (Wednesday) | 14:15 - 15:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 05/23/2022 (Monday) | 12:15 - 13:45 | 01 122 Newton-Raum 2413 - Neubau Physik/Mathematik |
| 05/25/2022 (Wednesday) | 14:15 - 15:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 05/30/2022 (Monday) | 12:15 - 13:45 | 01 122 Newton-Raum 2413 - Neubau Physik/Mathematik |
| 06/01/2022 (Wednesday) | 14:15 - 15:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 06/08/2022 (Wednesday) | 14:15 - 15:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 06/13/2022 (Monday) | 12:15 - 13:45 | 01 122 Newton-Raum 2413 - Neubau Physik/Mathematik |
| 06/15/2022 (Wednesday) | 14:15 - 15:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 06/20/2022 (Monday) | 12:15 - 13:45 | 01 122 Newton-Raum 2413 - Neubau Physik/Mathematik |
| 06/22/2022 (Wednesday) | 14:15 - 15:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 06/27/2022 (Monday) | 12:15 - 13:45 | 01 122 Newton-Raum 2413 - Neubau Physik/Mathematik |
| 06/29/2022 (Wednesday) | 14:15 - 15:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 07/04/2022 (Monday) | 12:15 - 13:45 | 01 122 Newton-Raum 2413 - Neubau Physik/Mathematik |
| 07/06/2022 (Wednesday) | 14:15 - 15:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 07/11/2022 (Monday) | 12:15 - 13:45 | 01 122 Newton-Raum 2413 - Neubau Physik/Mathematik |
| 07/13/2022 (Wednesday) | 14:15 - 15:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 07/18/2022 (Monday) | 12:15 - 13:45 | 01 122 Newton-Raum 2413 - Neubau Physik/Mathematik |
| 07/20/2022 (Wednesday) | 14:15 - 15:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |