The all-loop bare perturbative part of the four-quark Bethe-Salpeter kernel is computed analytically in the large-Nf limit of massless QCD.
Introductory Lectures on Resurgence: CERN Summer School 2024
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abstract
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. Lecture 1: The Airy function and the Stokes phenomenon. Lecture 2: The nonlinear Stokes phenomenon. Lecture 3: Resurgence in QFT: the Heisenberg-Euler effective action. Lecture 4: Resurgent continuation and summation. The emphasis of these lectures is on physically motivated examples. The lectures include many exercises designed to illustrate some of the key ideas of resurgence.
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Resurgence analysis of the 't Hooft-Polyakov monopole equations yields universal non-perturbative background profiles enabling uniformly convergent perturbative expansions for any coupling ratio.
Resummed relative entropy fixes the sign of asymptotic growth of EFT coefficients and signals instabilities, with the Schwinger effect in fermionic QED as a concrete example obtained via Euclidean-to-Minkowski analytic continuation.
citing papers explorer
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All-loop four-quark Bethe-Salpeter kernel
The all-loop bare perturbative part of the four-quark Bethe-Salpeter kernel is computed analytically in the large-Nf limit of massless QCD.
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Resurgent structure of the 't Hooft-Polyakov monopole
Resurgence analysis of the 't Hooft-Polyakov monopole equations yields universal non-perturbative background profiles enabling uniformly convergent perturbative expansions for any coupling ratio.
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Bounds on nonlinear effective field theories via resurgent relative entropy
Resummed relative entropy fixes the sign of asymptotic growth of EFT coefficients and signals instabilities, with the Schwinger effect in fermionic QED as a concrete example obtained via Euclidean-to-Minkowski analytic continuation.