QED IN EXTERNAL-FIELD WITH SPACE-TIME UNIFORM INVARIANTS - EXACT-SOLUTIONS

Citation
Sp. Gavrilov et al., QED IN EXTERNAL-FIELD WITH SPACE-TIME UNIFORM INVARIANTS - EXACT-SOLUTIONS, Journal of mathematical physics, 39(7), 1998, pp. 3547-3567
Citations number
39
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
ISSN journal
00222488
Volume
39
Issue
7
Year of publication
1998
Pages
3547 - 3567
Database
ISI
SICI code
0022-2488(1998)39:7<3547:QIEWSU>2.0.ZU;2-E
Abstract
We study exact solutions of Dirac and Klein-Gordon equations and Green functions in d-dimensional QED and in an external electromagnetic fie ld with constant and homogeneous field invariants. The cases of even a nd odd dimensions are considered separately; they are essentially diff erent. We direct attention to the asymmetry of the quasienergy spectru m, which appears in odd dimensions. The in and out classification of t he exact solutions as well as the completeness and orthogonality relat ions is strictly proven. Different Green functions in the form of sums over the exact solutions are constructed. The Fock-Schwinger proper t ime integral representations of these Green functions are found. As ph ysical applications, we consider the calculations of different quantum effects related to the vacuum instability in the external field. For example, we present mean values of particles created from the vacuum, the probability of the vacuum remaining a vacuum, the effective action , and the expectation values of the current and energy-momentum tensor . (C) 1998 American Institute of Physics. [S0022-2488(98)02607-3].