Stabilization of radiation reaction with vacuum polarization

Abstract

Dirac model. But this model has the big difficulty of the run-away solution. Recently, this equation has become important for ultra-intense laserelectron (plasma) interactions. For simulations in this research field, it is desirable to stabilize this model of the radiation reaction. In this paper, we will discuss this ability for radiation reaction with the inclusion of vacuum polarization.

Possibility of Radiation Reaction Observation under Ultraintense Laser

“…This stabilizes the run-away problem. 33 The answer to the question, "can we observe radiation reaction?" is achieved in the following ways: At first, radiation reaction is the effect on an electron, therefore we need to observe Fig.…”

“…By applying Eq. (15) for the LAD field, , the radiation reaction field is corrected as follows by using the standard perturbation: 33 The equation of motion becomes . This equation is stable, avoiding run-away.…”

Laser-driven electron beam and radiation sources for basic, medical and industrial sciences

“…Recently the vacuum laser acceleration attracts renewed interest in the all-optical concept of the quest for extremely high field-electron interaction. 102 ) More specifically, the research on nonlinear Compton scattering, radiation reaction effects 103 , 104 ) and the vacuum polarization leading to electron-positron pair production has been pursued worldwide by exploiting the complex system of GeV electron beams from laser plasma accelerators and synchronized PW lasers as the embodiment of “relativistic engineering”. 1 , 105 )…”

Relativistic Lagrangians for the Lorentz–Dirac equation

“…In connection with this fact, these equations admit physically unacceptable solutions such as runaway and pre-acceleration solutions [1,2,4,5,6,12,13,14]. To overcome this problem, various ideas have been proposed until recently [1,6,13,14,15,16,17,18,19,20,21]; however, it seems that an ultimate solution to the problem has not been found yet.…”