String Theory Journal Club

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. For the second part of the talk, I will introduce determinant observables, which appear in supersymmetric gauge theories. For these, we recently uncovered a strikingly simple non-perturbative structure, where all trans-series corrections share a universal form. These results highlight the trans-series structure in integrable QFTs and its relevance to related models.
Based on arXiv:2504.05932 and arXiv:2509.20302