ORCID
- Tom Heinzl: 0000-0001-8954-1986
Abstract
The Landau-Lifshitz equation is the first in an infinite series of approximations to the Lorentz-Abraham-Dirac equation obtained from “reduction of order.” We show that this series is divergent, predicting wildly different dynamics at successive perturbative orders. Iterating reduction of order ad infinitum in a constant crossed field, we obtain an equation of motion which is free of the erratic behavior of perturbation theory. We show that Borel-Padé resummation of the divergent series accurately reproduces the dynamics of this equation, using as little as two perturbative coefficients. Comparing with the Lorentz-Abraham-Dirac equation, our results show that for large times the optimal order of truncation typically amounts to using the Landau-Lifshitz equation, but that this fails to capture the resummed dynamics over short times.
DOI Link
Publication Date
2021-08-06
Publication Title
Physical Review D
Volume
104
Issue
3
ISSN
2470-0010
Acceptance Date
2021-07-05
Deposit Date
2021-10-15
Embargo Period
2021-10-16
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Ekman, R., Heinzl, T., & Ilderton, A. (2021) 'Reduction of order, resummation, and radiation reaction', Physical Review D, 104(3). Available at: 10.1103/physrevd.104.036002
