Revisiting semiclassical scalar QED in 1+1 dimensions
Abstract
We study the backreaction of a charged scalar quantum field in the presence of two opposite charges placed at the boundaries of a finite one-dimensional region, with attention to boundary effects. We review, correct, and extend previous corresponding work of Ambjrn \& Wolfram ambjornproperties1983. Despite notable differences, our analysis confirms the mechanism, discussed by Ambjrn \& Wolfram, by which the incorporation of backreaction avoids certain instabilities. We also observe the interesting phenomenon of ``over-screening'', by which for high external charges an increase of the external charges leads to a decrease of the electric field between the two charges.
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