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 a0 = 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.

Structure of radiative corrections in a strong constant crossed field in the bubble-chain approximation

“…The high-χ scaling of the mass operator Σ(p, F ), the electron propagator S c (p, F ) and the scattering amplitude M(χ) [given in Eqs. (32), (38) and (42)] is determined by the asymptotic properties of the scalar functions S n , V The asymptotic properties of the one-loop contribution, given by Eqs. (33a)-(33e), was studied by Narozhny in Ref.…”

“…only at the one-loop level [19,[26][27][28][29]. It is noteworthy, that even when the approximation is not applicable, a proper resummation of higher-order corrections still might be required in order to obtain a consistent result [30][31][32]. Yet, the locally constant field approximation is robust in considerations of ultrarelativistic particles in strong backgrounds and valid as long as a 0 max(1, χ 1/3 ) [33].…”

QED and Lasers: A Tutorial

“…It is an unsolved question how this cross section arises within QED. Recent investigations suggest [81][82][83] that it may result from an all-orders resummation of an appropriate class of Feynman diagrams including loops. This resummation should yield the summed geometric series (in 2 3 αη) represented by Dirac's cross section, σ RR .…”