Resurgence of the Effective Action in Inhomogeneous Fields
arXiv:2212.04599 · doi:10.1103/PhysRevD.107.065003
Abstract
We show how background field inhomogeneities modify the non-perturbative structure of the effective action. The simple Borel poles of the Euler-Heisenberg effective action become branch points, and new branch points also appear, indicating new non-perturbative effects. This information is resurgently encoded in the perturbative weak field expansion, and becomes physically significant for strongly inhomogeneous fields. We also show that resurgent extrapolation methods permit the decoding of a surprising amount of non-perturbative information from a relatively modest amount of perturbative input, enabling accurate analytic continuations from weak field to strong field, and of a spatially dependent magnetic background to a time dependent electric background. These extrapolations are far superior to standard WKB and locally constant field approximations.
arXiv comment26 pages, 10 figures
References in corpus (37)
- Extremely high-intensity laser interactions with fundamental quantum systems
- Charged particle motion and radiation in strong electromagnetic fields
- Worldline Instantons and Pair Production in Inhomogeneous Fields
- Lectures on non-perturbative effects in large N gauge theories, matrix models and strings
- Pair Production from Vacuum at the Focus of an X-Ray Free Electron Laser
- Worldline Instantons II: The Fluctuation Prefactor
- A Primer on Resurgent Transseries and Their Asymptotics
- An Introduction to Resurgence, Trans-Series and Alien Calculus
- Conceptual Design Report for the LUXE Experiment
- Implementing nonlinear Compton scattering beyond the local constant field approximation
- Schwinger Pair Production via Instantons in Strong Electric Fields
- Interference Effects in Schwinger Vacuum Pair Production for Time-Dependent Laser Pulses
- An extended locally constant field approximation for nonlinear Compton scattering
- On the Prospect of Studying Nonperturbative QED with Beam-Beam Collisions
- Improved local-constant-field approximation for strong-field QED codes
- On the QED Effective Action in Time Dependent Electric Backgrounds
- Note on the conjectured breakdown of QED perturbation theory in strong fields
- High-energy behavior of strong-field QED in an intense plane wave
- Free Energy of an Inhomogeneous Superconductor: a Wave Function Approach
- Conjecture of perturbative QED breakdown at
- Borel Summation of the Derivative Expansion and Effective Actions
- Multidimensional Worldline Instantons
- Cheshire Cat resurgence, Self-resurgence and Quasi-Exact Solvable Systems
- Deconstructing zero: resurgence, supersymmetry and complex saddles
- Resummation of QED radiative corrections in a strong constant crossed field
- Physical Resurgent Extrapolation
- An Exact QED_{3+1} Effective Action
- Locally-constant field approximation in studies of electron-positron pair production in strong external fields
- Effective Energy for QED with Semi-Localized Static Magnetic Fields: A Solvable Model
- An all-loop result for the strong magnetic field limit of the Heisenberg-Euler effective Lagrangian
- Uniformization and Constructive Analytic Continuation of Taylor Series
- QED Effective Action Revisited
- Quantum radiation reaction in aligned crystals beyond the local constant field approximation
- On the Higher Loop Euler-Heisenberg Trans-Series Structure
- Conformal and Uniformizing Maps in Borel Analysis
- Total yield of electron-positron pairs produced from vacuum in strong electromagnetic fields: validity of the locally constant field approximation
- Schwinger pair production from Padé-Borel reconstruction