Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-05-15
Phys.Rev.Lett.101:130403,2008
Physics
High Energy Physics
High Energy Physics - Theory
7 pages; version accepted for publication in Phys. Rev. Lett.; added one ref. and some comments
Scientific paper
10.1103/PhysRevLett.101.130403
QFT with an external background can be considered as a consistent model only if backreaction is relatively small with respect to the background. To find the corresponding consistency restrictions on an external electric field and its duration in QED and QCD, we analyze the mean energy density of quantized fields for an arbitrary constant electric field E, acting during a large but finite time T. Using the corresponding asymptotics with respect to the dimensionless parameter $eET^2$, one can see that the leading contributions to the energy are due to the creation of paticles by the electric field. Assuming that these contributions are small in comparison with the energy density of the electric background, we establish the above-mentioned restrictions, which determine, in fact, the time scales from above of depletion of an electric field due to the backreaction
Gavrilov Sergey P.
Gitman Dmitri M.
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