# Classical and Quantum Integrability

Sep 2 – 6, 2019
Institut de Mathématiques de Bourgogne
Europe/Paris timezone

## Sine-Gordon field theory vs. relativistic Calogero-Moser $N$-particle sytems

Sep 5, 2019, 11:45 AM
45m
Amphi Paris

### Speaker

Simon Ruijsenaars (University of Leeds)

### Description

We survey the relation between the relativistic sine-Gordon model and (a special case of) the hyperbolic relativistic integrable $N$-particle systems of Calogero-Moser type. More specifically, we review the intimate link between the classical version of the latter and the particle-like sine-Gordon solutions, and present compelling evidence that this soliton-particle correspondence turns into a physical equivalence on the quantum level, in the sense that the same scattering amplitudes and bound state energies arise in the quantum field-theoretic and $N$-particle models.

### Primary author

Simon Ruijsenaars (University of Leeds)

### Presentation materials

There are no materials yet.