Introductory lectures cover resurgent asymptotics using examples like the Airy function, nonlinear Stokes phenomenon, Heisenberg-Euler action, and resurgent continuation.
Resurgence of the Tilted Cusp Anomalous Dimension
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abstract
We use resurgent extrapolation and continuation methods to extract detailed analytic information about the tilted cusp anomalous dimension solely from its weak coupling and strong coupling expansions. This enables accurate and smooth interpolation between the weak and strong coupling limits, and identifies the relevant singularities governing the finite radius of convergence of the weak coupling expansion and the asymptotic nature of the strong coupling expansion. The input data is purely perturbative, generated from the BES equations, and these resurgent methods extract accurate non-perturbative information which matches the underlying physical structure.
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Introductory Lectures on Resurgence: CERN Summer School 2024
Introductory lectures cover resurgent asymptotics using examples like the Airy function, nonlinear Stokes phenomenon, Heisenberg-Euler action, and resurgent continuation.
- Strong coupling structure of $\mathcal{N}=4$ SYM observables with matrix Bessel kernel