Talk page
Title:
Resurgence, transseries and nonperturbative physics
Speaker:
Abstract:
In physics, perturbative series are often asymptotic, with a vanishing radius of convergence. Sometimes such asymptotic series can be Borel resummed into well-defined functions; sometimes they cannot. As has been known for a long time, the (non-) Borel summability of asymptotic series is intimately tied to the presence of nonperturbative contributions in the quantities under investigation. In physical settings, these contributions usually arise due to soliton or instanton effects - D-branes in string theory being one famous example. Recently, renewed interest has arisen in this old subject, and more advanced mathematical techniques such as resurgence and transseries analysis have been applied to interesting physical theories. This sheds new light, for example, on the nonperturbative structure of matrix models, noncritical string theories and topological string theories. In this talk, I will review recent progress on this subject, and sketch some projects that are currently under investigation.Related Papers:
Link:
Workshop: