Radiation reaction at the level of the action
Abstract
The aim of this paper is to highlight a recently proposed method for the treatment of classical radiative effects, in particular radiation reaction, via effective field theory methods. We emphasize important features of the method and in particular the doubling of fields. We apply the method to two simple systems: a massrope system and an electromagnetic chargefield system. For the massrope system in 1 + 1 dimensions we derive a doublefield effective action for the mass which describes a damped harmonic oscillator. For the EM chargefield system, i.e. the system of an accelerating electric charge in 3 + 1 dimensions, we show a reduction to a 1 + 1 dimensions radial system of an electric dipole source coupled to an electric dipole field (analogous to the mass coupled to the rope). For this system we derive a doublefield effective action and reproduce in an analogous way the leading part of the AbrahamLorentzDirac force.
 Publication:

International Journal of Modern Physics A
 Pub Date:
 September 2014
 DOI:
 10.1142/S0217751X14501322
 arXiv:
 arXiv:1402.2610
 Bibcode:
 2014IJMPA..2950132B
 Keywords:

 Abraham–Lorentz–Dirac;
 selfforce;
 radiation reaction;
 effective action;
 dissipation;
 damped harmonic oscillator;
 03.50.De;
 03.50.Kk;
 04.25.Nx;
 04.30.Nk;
 Classical electromagnetism Maxwell equations;
 Other special classical field theories;
 PostNewtonian approximation;
 perturbation theory;
 related approximations;
 Wave propagation and interactions;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 doi:10.1142/S0217751X14501322