Introduction to Integrability – FS 2013
Description
Integrable systems are a special class of physical models that can be
solved exactly due to a large number of symmetries. Examples of
integrable models appear in many different areas of physics, including
classical mechanics, condensed matter, 2d quantum field theories and
lately in string- and gauge theories. They offer a unique opportunity to
gain a deeper understanding of generic phenomena in a simplified,
exactly solvable setting. In this course we shall walk the students
through the various notions of integrability starting from classical
mechanics and ending with quantum field theories.
Content
- Integrability in Classical Mechanics
- Integrable Classical Field Theory
- Spin Chains
- Bethe Ansatz
- Integrable Quantum Field Theory
Literature
- G. Arutyunov, Classical and Quantum Integrable Systems,
http://www.staff.science.uu.nl/%7earuty101/StudentSeminar.pdf
- L. Faddeev, How algebraic Bethe Ansatz works for integrable model,
http://arxiv.org/pdf/hep-th/9605187
- V. E. Korepin, N. M. Bogoliubov, A. G. Izergin, Quantum Inverse Scattering Method and Correlation Functions, CUP (1997)
- O. Babelon, D. Bernard, M. Talon, Introduction to Classical Integrable Systems
- P. Dorey, Exact S-matrices, hep-th/9810026
- Z. Bajnok, L. Samaj, INTRODUCTION TO INTEGRABLE MANY-BODY SYSTEMS III
Credit Requirements
- 20 minute oral examination
Materials
Lecture Notes
Problem Sets