Non trivial generalizations of the Schwinger pair production result II
Herbert M. Fried, Yves Gabellini (INLN)
TL;DR
This paper explores advanced generalizations of Schwinger's pair production theory, focusing on conditions where the electric field varies slowly, providing deeper insights into vacuum instability under realistic field configurations.
Contribution
It introduces non-trivial extensions to Schwinger's original results, accounting for slowly varying electric fields and their impact on pair production probabilities.
Findings
Schwinger's approximation remains valid under slowly varying fields.
Derived generalized formulas for pair production in non-uniform fields.
Identified conditions where the original approximation breaks down.
Abstract
It is suggested that Schwinger's (1951) vacuum persistence probability against pair production by an intense but constant electric field is a very good approximation to the corresponding quantity if the field does not vary appreciably over distances less than m/e/E/5 pages
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