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Using semiclassical WKB-methods, we calculate the rate of electron-positronpair-production from the vacuum in the presence of two external fields, astrong (space- or time-dependent) classical field and a monochromaticelectromagnetic wave. We discuss the possible medium effects on the rate in thepresence of thermal electrons, bosons, and neutral plasma of electrons andprotons at a given temperature and chemical potential. Using our rate formula,we calculate the rate enhancement due to a laser beam, and discuss thepossibility that a significant enhancement may appear in a plasma of electronsand protons with self-focusing properties.

Vacuum pair-production in a classical electric field and an electromagnetic wave