Date: 14 FEBRUARY 2022 from 2:30 to 3:30
Event location: Online event
The interplay between resurgence and the 1/N expansion in various integrable field theories with renormalons is studied. We focus on the free energy in the presence of a chemical potential coupled to a conserved charge, which can be computed exactly with the thermodynamic Bethe ansatz (TBA) and with large N QFT techniques. This quantity is then expressed in terms of a resurgent trans-series in a suitably defined coupling constant. Three models will be analyzed: the non-linear sigma model, the principal chiral field, and the Gross-Neveu model, with model-dependent results.A short pedagogical introduction to the subject will be provided.