BBGKY Method in Strong Field QED
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BGKY Method in Strong Field QED S. A. Smolyanskya, b, *, A. M. Fedotovb, c, and V. V. Dmitrieva aDepartment
of Physics, Saratov State University, Saratov, 410012 Russia Department of Physics, Tomsk State University, Tomsk, 634050 Russia cInstitute for Laser and Plasma Technologies, National Research Nuclear University MEPhI, Moscow, 115409 Russia *e-mail: [email protected] b
Received December 20, 2019; revised January 16, 2020; accepted January 29, 2020
Abstract—Electron-positron plasma can be naturally produced by a massive self-sustained cascade seeded by particles injected or created spontaneously from vacuum under the action of a strong laser field. We consider a quantum kinetic equation for such a plasma and simplification of the collision integral for photon emission along the polarization direction of the field. DOI: 10.1134/S106377962004067X
1. INTRODUCTION A rapid growth of the laser intensity is clearly observed for the last three decades since the late 1980’s [1]. This became ultimately possible after the invention, demonstration and proper development of CPA [2] and OPCPA [3, 4] concepts. In particular, a number of multipetawatt-class laser facilities have either been recently comissioned or being now under comissioning in Russia, Korea, China, Europe and the USA [5, 6]. While the record reported laser intensity level is still about 1022 W/cm2 [7], there are good reasons to believe that within the next few years or a decade it can be further pushed forward by at least 1–3 orders of magnitude. A valuable progress in technology rises the hopes to study experimentally the key features associated with modification of QED in a strong external field [8]. By now, such studies were mostly restricted to the famous E144 experiment at SLAC [9]. While it may still be problematic to observe spontaneous pair creation from vacuum in quite a near future directly, it would be highly possible to study the massive self-sustained QED cascades, which can be seeded either by spontaneously created pairs [10] or external particles injected into a strong field region [11]. Currently, the self-sustained cascades are simulated mostly by using the PIC-QED codes [11, 12], where the QED branching processes are incorporated ad hoc via event generators based on the known QED probability rates (see [12] for details). An advantage of this approach is that it is capable for consideration of realistic complicated field configurations. However, it is quite resource- and time-consuming and, in addition, is heavily based on a locally constant field approximation, which is now under active debates [13, 14]. Besides, implementation of the relaxation
processes (like annihilation) is yet absent and would be not straightforward, plasma needs to be considered as essentially non-degenerate. There also remain certain subtleties with self-consistent implementation of spontaneous pair production and with account for backreaction. Therefore it is highly instructive to develop alternative parallel approaches as well. A quantum kinetic equation (KE) approac
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