High Energy Theory Seminar: Dennis Le Plat

Speaker: Dennis Le Plat (Wigner Research Centre for Physics, Hungarian Academy of Sciences)

Title: Resurgence and trans-series in integrable models

Abstract: Resurgence and trans-series techniques provide a powerful framework for understanding non-perturbative phenomena in quantum field theory and beyond. In the first part of this talk, I will present a complete trans-series solution for key observables in the Lieb-Liniger model, a prototypical integrable system in one dimension. The trans-series is explicitly constructed from a perturbative basis derived via ordinary differential equations and is shown to satisfy non-trivial consistency conditions. 

In the second part of the talk, I will introduce determinant observables, that arise in supersymmetric gauge theories. For these, we recently uncovered a strikingly simple non-perturbative structure, in which all trans-series corrections share a universal form. These results highlight the trans-series structure in integrable QFTs and its relevance to related models.