Alex Simon: The bootstrap approach to integrable quantum field theories in 1+1 dimensions

mardi 10 mars 2026, 10:30 → 11:30 Europe/Paris

Quantum field theories (QFTs) provide a very effective framework for describing relativistic quantum systems with an infinite number of degrees of freedom. In particular, their setting allows one to provide expressions for the so-called correlation functions that are directly measured in experiments. However, even though a lot of progress has been made regarding the rigorous constructions of QFTs using various techniques, there are still numerous open questions remaining. In the 60s, Wightman proposed a scheme allowing one to construct a QFT from the knowledge of its correlation functions, satisfying specific properties called Wightman axioms. Since then, multiple approaches have been developed, leading to the constructions of several QFTs in various dimensions. In this talk, I will focus on one approach, based on the integrable bootstrap. This approach, applicable to general integrable quantum field theories in 1+1 dimensions, will be illustrated by the example of the Sinh-Gordon model, which is the simplest of such theories. Using this approach, we managed to derive fully explicit and well-defined expressions for appropriately regularized multi-point correlations fonctions, from which the regular correlation functions can be obtained and satisfy Wightman axioms, assuming some convergence properties. This is a joint work with K. Kozlowski.