4020160121 Integrable Models
Digital- & Präsenz-basierter Kurs
- classroom language
- DE
- aims
- Integrability is a property/symmetry of special physical models which connects different physical and mathematical fields. The goal of this course is to gain an overview over the different facets and applications of integrability and to get to know interesting physical problems.
- requirements
- Knowledge of Quantum Mechanics. Knowledge of statistical physics and (quantum) field theory is useful.
- structure / topics / contents
- OVERVIEW
+ Integrability as an extended symmetry of physical models
+ exactly solvable systems
+ classical integrability
+ quantum integrability
CONCEPTS & METHODS
+ Lax pair
+ inverse scattering method
+ R-matrix
+ Yang-Baxter equation
+ factorized scattering
+ Bethe ansatz
+ nonlocal symmetries
+ quantum groups
+ Yangian symmetry
MODELS
+ classical integrable systems
+ spin chains
+ integrable field theory
+ Yang-Mills theory and AdS/CFT duality
- assigned modules
-
P23.1.2a
P23.1
GK1504 1
- amount, credit points; Exam / major course assessment
- 3 SWS, 5 SP/ECTS (Arbeitsanteil im Modul für diese Lehrveranstaltung, nicht verbindlich)
Homeworks will be given every two weeks and discussed together in the excercise classes. An oral exam is envisaged at the end of the course.
- contact
- Florian Loebbert ZGW 6, 2.25
- literature
-
B. Sutherland. Beautiful Models.
O. Babelon, D. Bernard, M. Talon. Introduction to Classical Integrable Systems.
N. J. Hitchin, G.B. Segal, R.S. Ward. Integrable Systems.
V. E. Korepin, N.M. Bogoliubov, A.G. Izergin. Quantum Inverse Scattering Method and Correlation Functions.
V. Chari, A. Pressley. A Guide to Quantum Groups.
P. Dorey. Exact S-matrices. www.http://arxiv.org/abs/hep-th/9810026
L. Faddeev. How algebraic Bethe ansatz works for integrble Model. www.http://arxiv.org/abs/hep-th/9605187
- quod vide:
- http://qft.physik.hu-berlin.de/teaching/