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Abstract

QED perturbation theory has been conjectured to break down in sufficiently strong backgrounds, obstructing the analysis of strong-field physics. We show that the breakdown occurs even in classical electrodynamics, at lower field strengths than previously considered, and that it may be cured by resummation. As a consequence, an analogous resummation is required in QED. A detailed investigation shows, for a range of observables, that unitarity removes diagrams previously believed to be responsible for the breakdown of QED perturbation theory.

Publication Date

2021-08-06

Publication Title

Physical Review Letters

Volume

127

Issue

6

ISSN

0031-9007

Acceptance Date

2021-06-30

Deposit Date

2021-09-20

Embargo Period

2021-09-21

Funding

The authors are supported by the EPSRC, Grant No. EP/S010319/1 (A. I., B. K.), and the Leverhulme Trust, Grant No. RPG-2019-148 (T. H., A. I.).

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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