9 papers
Weak-Strong Resurgence Duality
Gerald V. Dunne, Ayssar I. Farah
We show that there is an explicit resurgent duality between weak and strong coupling expansions when one of the expansions has zero radius of convergence and the other has infinite…
On Uniqueness of Mock Theta Functions
Ovidiu Costin, Gerald V. Dunne, Ali Saraeb
We develop a resurgent approach to the problem of unique continuation of mock theta functions across their natural boundary. The starting point is the representation of the associa…
The Chern-Simons Natural Boundary and Black Hole Entropy
Griffen Adams, Gerald V. Dunne
The method of resurgent continuation of transseries reveals a new correspondence between the -series for enumerating degeneracies of quarter-BPS states in supersymmetric black h…
Non-BPS Monopoles and Dyons via Resurgent Transseries
Gerald V. Dunne, Evan Shinn
Radially symmetric non-BPS 't Hooft-Polyakov monopoles and dyons are constructed as resurgent transseries: infinite sums of exponentially decaying terms, each multiplied by a facto…
Heisenberg-Euler and the Quantum Dilogarithm
Gerald V. Dunne
A dispersion integral representation of the Heisenberg-Euler QED effective lagrangian is derived, with Faddeev's quantum dilogarithm as a generalized Borel kernel. The nonperturbat…
Introductory Lectures on Resurgence: CERN Summer School 2024
Gerald V. Dunne
A set of four introductory lectures on Resurgent Asymptotics for Physics (``resurgence") at the CERN Summer School: Continuum Foundations of Lattice Gauge Theories, July 2024. Lect…