Anton Ilderton, Greger Torgrimsson
(Submitted on 28 Jan 2013 (v1), last revised 31 Jul 2013 (this version, v2))
We derive radiation reaction from QED in a strong background field. We identify, in general, the diagrams and processes contributing to recoil effects in the average momentum of a scattered electron, using perturbation theory in the Furry picture: we work to lowest nontrivial order in the electromagnetic coupling alpha. For the explicit example of scattering in a plane wave background, we compare QED with classical electrodynamics in the limit h-bar goes to zero, finding agreement with the Lorentz-Abraham-Dirac and Landau-Lifshitz equations, and with Larmor's formula. The first quantum corrections are also presented.
Comments: Version2: 7 pages, 2 figures. Discussion of related results and applications extended, references added. Matches version to appear in Phys.Lett.B