ITP Lecture Archive

**Lecturers:** Dr. Marius de Leeuw, Dr. Constantin Candu

Tuesday 09:45–11:30: HIT F 11.1

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.

- Integrability in Classical Mechanics
- Integrable Classical Field Theory
- Spin Chains
- Bethe Ansatz
- Integrable Quantum Field Theory

- 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

- 20 minute oral examination

- Classical Field Theory (CFT, 310 kB)
- Classical Mechanics (PDF, 278 kB)
- Spin Chains (SPINCHAINS, 265 kB)