Integrable Techniques in Theoretical Physics

Bad Honnef Physics School

14 Jul - 19 Jul 2024


Physikzentrum Bad Honnef

Scientific organizers:

Sascha Gehrmann, U Hannover • Friedrich Hübner, King’s College London • Anastasiia Tiutiakina, CY Cergy Paris Université

This school on Integrability is designed especially for young researchers, including PhD students and PostDocs, who are eager to delve into the fascinating realm of integrability in physics.

The analysis of interacting field theories or many-body systems requires in general approximations or numerical simulations. Both methods have their limitation: while the approximative method is directly limited by the validity of the simplifying assumptions, numerical methods can be constrained by the lack of sufficient memory or exponentially increasing computational time with the system size. Furthermore, one needs preexisting, established, and reliable results to contextualize the derived results. Integrable models, which can be solved analytically provide very reliable starting points for not exactly solvable systems. Besides their role as benchmarks, integrable models can also be experimentally realized and thus have a direct application in explaining physical phenomena e.g. ultracold atomic gases in optical lattices. Hence, Integrability has a rich history in physics and boasts wide-ranging applications across scientific disciplines.

Recently, further methods for integrable models have emerged- such as generalized hydrodynamics, generalized Gibbs ensembles, entropy measures in quantum field theory, the form-factor program, and alternative frameworks such as  the methodology of Separation of variables. The invited speakers are experts in these fields and will provide insights into their expertise. However, not only these recent developments are the topic of this edition but also the contributions of the participants covering all types of subareas in the field of integrability.