QED IN STRONG EXTERNAL FIELD: CALCULATION OF NONLINEAR EFFECTS BY MEANS OF THE PROPER TIME METHOD

2004 ◽  
Vol 19 (14) ◽  
pp. 2293-2311 ◽  
Author(s):  
A. A. ANDREEV ◽  
G. L. LABZOVSKY ◽  
YU. M. PISMAK ◽  
V. N. MARKOV
Keyword(s):  
Plane Wave ◽  
Maxwell Equations ◽  
Proper Time ◽  
Nonlinear Effects ◽  
Nonlocal Theory ◽  
Field Calculation ◽  
Euler Approximation ◽  
Electron Positron ◽  
Electron Positron Pair ◽  
Strong External Field

Modern lasers are unable yet to cause electron–positron pair production in vacuum, however it is possible to notice considerable influence of vacuum polarization on radiation that propagates in such medium. In our work we present nonlocal theory of interaction of intensive laser radiation with electron–positron vacuum. We refuse from Heisenberg–Euler approximation and it permits us to calculate nonzero response of vacuum even for a plane wave. We show how to use the "proper time" method for calculation of corrections to the Maxwell equations. These equations are solved for the case of plane wave and their solutions are investigated.

Electromagnetic waves

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Plane Wave ◽  
Electromagnetic Waves ◽  
Maxwell Equations ◽  
Plane Waves ◽  
Geometrical Optics ◽  
Particle Detection ◽  
Spatial Coordinates ◽  
A Charge

This chapter examines solutions to the Maxwell equations in a vacuum: monochromatic plane waves and their polarizations, plane waves, and the motion of a charge in the field of a wave (which is the principle upon which particle detection is based). A plane wave is a solution of the vacuum Maxwell equations which depends on only one of the Cartesian spatial coordinates. The monochromatic plane waves form a basis (in the sense of distributions, because they are not square-integrable) in which any solution of the vacuum Maxwell equations can be expanded. The chapter concludes by giving the conditions for the geometrical optics limit. It also establishes the connection between electromagnetic waves and the kinematic description of light discussed in Book 1.

Vacuum polarization and particle creation in the presence of a potential step

2016 ◽  
Vol 31 (02n03) ◽  
pp. 1641031 ◽  
Author(s):  
S. P. Gavrilov ◽  
D. M. Gitman
Keyword(s):  
Electric Potential ◽  
Canonical Quantization ◽  
Particle Creation ◽  
Pair Creation ◽  
Dirac Field ◽  
Potential Step ◽  
Electron Positron ◽  
Physical Impact ◽  
Particle Interpretation ◽  
Electron Positron Pair

We consider QED with strong external backgrounds that are concentrated in restricted space areas. The latter backgrounds represent a kind of spatial x-electric potential steps for charged particles. They can create particles from the vacuum, the Klein paradox being closely related to this process. We describe a canonical quantization of the Dirac field with x-electric potential step in terms of adequate in- and out-creation and annihilation operators that allow one to have consistent particle interpretation of the physical system under consideration and develop a nonperturbative (in the external field) technics to calculate scattering, reflection, and electron-positron pair creation. We resume the physical impact of this development.

Electron-Positron Pair Production in an Elliptic Polarized Time Varying Field

2012 ◽  
Vol 29 (2) ◽  
pp. 021102 ◽  
Author(s):  
Bai-Song Xie ◽  
Mohamedsedik Melike ◽  
Dulat Sayipjamal
Keyword(s):  
Pair Production ◽  
Time Varying ◽  
Electron Positron ◽  
Electron Positron Pair

scholarly journals Diverse Features of the Multiwavelength Afterglows of Gamma-Ray Bursts: Natural or Special?

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
J. J. Geng ◽  
Y. F. Huang
Keyword(s):  
Black Holes ◽  
Numerical Method ◽  
Gamma Ray ◽  
Gamma Ray Bursts ◽  
Shock Model ◽  
Reverse Shock ◽  
X Ray ◽  
Electron Positron ◽  
Forward Shock ◽  
Electron Positron Pair

The detection of optical rebrightenings and X-ray plateaus in the afterglows of gamma-ray bursts (GRBs) challenges the generic external shock model. Recently, we have developed a numerical method to calculate the dynamics of the system consisting of a forward shock and a reverse shock. Here, we briefly review the applications of this method in the afterglow theory. By relating these diverse features to the central engines of GRBs, we find that the steep optical rebrightenings would be caused by the fall-back accretion of black holes, while the shallow optical rebrightenings are the consequence of the injection of the electron-positron-pair wind from the central magnetar. These studies provide useful ways to probe the characteristics of GRB central engines.

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