Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-07-17
Phys.Rev. D62 (2000) 125005
Physics
High Energy Physics
High Energy Physics - Phenomenology
37 pages, 2 figures, LaTeX 2 epsilon
Scientific paper
10.1103/PhysRevD.62.125005
We consider the back-reaction of quantum electrodynamics upon an electric field E(x_+) = - A'_-(x_+) which is parallel to x^3 and depends only on the lightcone coordinate x_+ = (x^0 + x^3)/\sqrt{2}. Novel features are that the mode functions have simple expressions for arbitrary A_-(x_+), and that one cannot ignore the usual lightcone ambiguity at zero + momentum. Each mode of definite canonical momenta k_+ experiences pair creation at the instant when its kinetic momentum p_+=k_+ - e A_-(x_+) vanishes, at which point operators from the surface at x_- =-\infty play a crucial role. Our formalism permits a more explicit and complete derivation of the rate of particle production than is usually given. We show that the system can be understood as the infinite boost limit of the analogous problem of an electric field which is homogeneous on surfaces of constant x^0.
Tomaras Theodore N.
Tsamis Nicholas C.
Woodard Richard P.
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