Resummation of quantum radiation reaction and induced polarization

Abstract

In a previous paper we proposed a new method based on resummations for studying radiation reaction of an electron in a plane-wave electromagnetic field. In this paper we use this method to study the electron momentum expectation value for a circularly polarized monochromatic field with $a_0=1$, for which standard locally-constant-field methods cannot be used. We also find that radiation reaction has a significant effect on the induced polarization, as compared to the results without radiation reaction, i.e. the Sokolov-Ternov formula for a constant field, or the zero result for a circularly monochromatic field. We also study the Abraham-Lorentz-Dirac equation using Borel-Padé resummations.

11 pages, 8 figures

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• Reduction of Order and Transseries Structure of Radiation Reaction
• Novel Signatures of Radiation Reaction in Electron-Laser Sidescattering
• Resurgence in the Scalar Quantum Electrodynamics Euler-Heisenberg Lagrangian
• Structure of radiative corrections in a strong constant crossed field in the bubble-chain approximation
• Self-force on a charged particle in an external scalar field