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Critical remarks on Sokolov's equation of the dynamics of a radiating electron

### Abstract

In the article by Sokolov [J. Exp. Theor. Phys. 109(2), 207 (2009)], the so-called renormalization of the Lorentz-Abraham-Dirac (LAD) equation was proposed. The latter describes the motion of an electron in the electromagnetic field in consideration of the radiation reaction. In many articles of Sokolov and his colleagues, this model is promoted as more appropriate one when an electron is under the effect of a super-strong laser field. In this article, it is shown that such assertions are baseless and the physical importance of this model is vastly overestimated. Sokolov's equation suffers from numerous drawbacks arising from the fact that it represents not modified but distorted LAD. In particular, superluminal paradoxes arise in the framework of this model.

Published by AIP Publishing.

Received 18 February 2016
Accepted 18 August 2016
Published online 23 September 2016

Article outline:

I. SOKOLOV'S EQUATION
II. DISTORTION OF LAD
III. ENERGY-MOMENTUM CONSERVATION
IV. SUPERLUMINAL PARADOXES
V. QUANTUM MECHANICAL APPLICATIONS
VI. CONCLUSION

/content/aip/journal/pop/23/9/10.1063/1.4962692

2.

I. V. Sokolov, “ Renormalization of the Lorentz-Abraham-Dirac equation for radiation reaction force in classical electrodynamics,” J. Exp. Theor. Phys. 109(2), 207–212 (2009).

http://dx.doi.org/10.1134/S1063776109080044
3.

I. V. Sokolov, N. M. Naumova, J. A. Nees, G. A. Mourou, and V. P. Yanovsky, “ Dynamics of emitting electrons in strong laser fields,” Phys. Plasmas 16(9), 093115 (2009).

http://dx.doi.org/10.1063/1.3236748
4.

N. M. Naumova, I. V. Sokolov, V. T. Tikhonchuk, T. Schlegel, J. A. Nees, C. Labaune, V. P. Yanovsky, and G. A. Mourou, “ The radiaton reaction effect on electrons at super-high laser intensities with application to ion acceleration,” AIP Conf. Proc. 1153, 130–139 (2009).

http://dx.doi.org/10.1063/1.3204517
5.

I. V. Sokolov, J. A. Nees, V. P. Yanovsky, N. M. Naumova, and G. A. Mourou, “ Emission and its back-reaction accompanying electron motion in relativistically strong and QED-strong pulsed laser fields,” Phys. Rev. E 81(3), 036412 (2010).

http://dx.doi.org/10.1103/PhysRevE.81.036412
7.

I. V. Sokolov, N. M. Naumova, J. A. Nees, V. P. Yanovsky, and G. A. Mourou, “ Radiation back-reaction in relativistically strong and QED-strong pulsed laser fields,” AIP Conf. Proc. 1228, 305–322 (2010).

http://dx.doi.org/10.1063/1.3426068
8.

I. V. Sokolov, J. A. Nees, and N. M. Naumova, “ Numerical modeling of radiation-dominated and QED-strong regimes of laser-plasma interaction,” Phys. Plasmas 18(9), 093109 (2011).

http://dx.doi.org/10.1063/1.3638138
9.

I. V. Sokolov, G. A. Mourou, and M. M. Naumova, “ Effect of radiation reaction on particle motion and production in IZEST-strong fields,” Eur. Phys. J.: Spec. Top. 223(6), 1045–1054 (2014).

10.

N. M. Naumova, I. V. Sokolov, J. A. Nees, and G. A. Mourou, “ Radiation back-reaction and pair creation in the interaction of QED-strong laser fields with electron beams,” Proc. SPIE 7994, 799424 (2010).

http://dx.doi.org/10.1117/12.881788
11.

K. Seto, H. Nagatomo, J. Koga, and K. Mima, “ Radiation reaction in ultrarelativistic laserspinning electron interactions,” Prog. Theor. Exp. Phys. 5, 053A01 (2013).

12.

N. Neitz, N. Kumar, F. Mackenroth, K. Z. Hatsagortsyan, C. H. Keitel, and A. Di Piazza, “ Novel aspects of radiation reaction in the classical and the quantum regime,” J. Phys.: Conf. Ser. 497, 012015 (2014).

14.

L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields ( Butterworth-Heinemann, 1980).

http://aip.metastore.ingenta.com/content/aip/journal/pop/23/9/10.1063/1.4962692

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