**Integrable models in statistical mechanics:**

**The hidden field with unsolved problems**

Institute for Theoretical Physics

State University of New York,
Stony Brook, NY 11794-3840

In the past 30 years there have been extensive discoveries in the theory of integrable statistical mechanical models including the discovery of non-linear differential equations for Ising model correlation functions, the theory of random impurities, level crossing transitions in the chiral Potts model and the use of Rogers-Ramanujan identities to generalize our concepts of Bose/Fermi statistics. Each of these advances has led to the further discovery of major unsolved problems of great mathematical and physical interest. I will here discuss the mathematical advances, the physical insights and extraordinary lack of visibility of this field of physics.

- Introduction
- Why integrable models is the invisible field of physics
- The Ising Model
- From Ising to integrable
- Beyond Integrability
- Conclusion
- References
- About this document ...