Resurgence in Integrable Field Theories - Part 2

Explore the resurgent properties of integrable field theories in two dimensions in this comprehensive lecture. Begin with a brief recap of Borel resummations and the historical context of perturbation theory in quantum field theory. Delve into basic resurgence concepts and their application to three well-known integrable field theories that are UV-free, develop a mass gap in the IR, admit a 1/N expansion, and exhibit renormalon singularities. Examine the interplay between resurgent properties and the 1/N expansion, focusing on the free energy in the presence of a chemical potential coupled to a conserved charge. Learn about exact computations using thermodynamic Bethe ansatz techniques and large N QFT methods, as well as results at finite N. Cover topics such as the area function, hypergeometric identity, the Stokes line, and the H function, providing a comprehensive overview of recent advancements in this field.