Radiation reaction in high-intensity fields

Abstract

Radiation reaction against a relativistic electron is of critical importance since the experiment to check this "quantumness" becomes possible soon with an extremely highintensity laser beam. However, there is a fundamental mathematical quest to apply any laser profiles to laser focusing and superposition beyond the Furry picture of its usual method by a plane wave. To give the apparent meaning of q(χ) the quantumness factor with respect to a radiation process is absent. Thus for resolving the above questions, we propose stochastic quantization of the classical radiation reaction model for any laser field profiles, via the construction of the relativistic Brownian kinematics with the dynamics of a scalar electron and the Maxwell equation with a current by a Brownian quanta. This is the first proposal of the coupling system between a relativistic Brownian quanta and fields in Nelson's stochastic quantization. Therefore, we can derive the radiation field by its Maxwell equation, too. This provides us the fact that q(χ) produced by QED is regarded as P(Ω ave τ ) of an existence probability such that a scalar electron stay on its average trajectory. * keita.seto@eli-np.ro

Parallel-plate and spherical capacitors in Born-Infeld electrostatics: An analytical study

“…Another interesting theory of nonlinear electrodynamics was suggested and developed by German physicists in 1930s [21][22][23]. Heisenberg and his students Euler and Kockel showed that classical electrodynamics must be corrected by nonlinear terms due to the vacuum polarization effects [21][22][23][24][25][26][27][28]. The Heisenberg-Euler-Kockel effective Lagrangian density is given by 1 [21][22][23][24][25][26][27][28]…”

A Brownian Particle and Fields II: Radiation Reaction as an Application

“…This LAD equation has been treated as the standard model of radiation reaction in the previous laserplasma simulations for explaining radiation from classical particles since d(m o c 2 γ)/dt ≈ F ex •v −dW classical /dt [the 0th component of (6)]. However, its quantum correction has started to be considered in the recent works provided by high-intensity lasers [9,10]. It is found by the following steps: For an external field of a plane wave, Volkov solutions of a Dirac equation are derived [11,12].…”

“…The SLAC E-144 included the experiments of the non-linear Compton scatterings by the combination of O(10 18 W/cm 2 + 46GeV) [33]. [9,10,21]:…”

“…Many authors have investigated this effect for their future experiments by high-intensity lasers [9,10,22,23,24,25,26,27,28,29,30]. For example at ELI-NP in Romania [3,28], they aim the factor q(χ) = 0.3 by a combination between a high-intensity laser of O(10 22 W/cm 2 ) and an electron of O(1GeV) [see Figure 1] [9]. Thus, the behavior of q(χ) depending on laser intensities is important to understand the transition from classical dynamics to non-linear QED.…”

A Brownian Particle and Fields I: Construction of Kinematics and Dynamics

“…Many works of radiation reaction have been discussed in classical dynamics from early 1900's, however, the corrections by non-linear quantum electrodynamics (QED) becomes important in high-intensity field physics produced by the state-of-theart O(10PW) lasers [5,6,7,8,9]. Comparing the radiation formulas in classical dynamics and non-linear QED, the factor of q(χ) can be found [10,11,12]:…”