Prof. Zoltan Bajnok (Eötvös University, Budapest)

Perturbative expansion of energy densities in integrable models: the complete trans-series

In this talk I will consider the energy density of integrable scattering theories, which can
be calculated using a linear integral TBA equation. These include the Gaudin-Yang and LiebLiniger models as well as integrable quantum field theories in which a conserved charge is coupled to an external field. I will explain how these TBA equations can be expanded perturbatively and
investigate the asymptotic properties of the perturbative coefficients. The factorially growing perturbative coefficients imply
non-perturbative corrections. I will construct the full trans-series, which contains all nonperturbative corrections together with their own perturbative series.