This paper shows that replacing a photon with a classical laser field can coherently boost QED cross-sections and improve their energy scaling, for example sigma_1->1 ~ (omega/m)^4 versus sigma_2->2 ~ (omega/m)^6.
Four-wave interaction in gas and vacuum. Definition of a third order nonlinear effective susceptibility in vacuum
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abstract
Semiclassical methods are used to study the nonlinear interaction of light in vacuum in the context of four wave mixing. This study is motivated by a desire to investigate the possibility of using recently developed powerful ultrashort (femtosecond) laser pulses to demonstrate the existence of nonlinear effects in vacuum, predicted by quantum electrodynamics (QED). An approach, similar to classical nonlinear optics in a medium, is developed in this article. A third order nonlinear effective susceptibility of vacuum is then introduced .
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Coherent enhancement of QED cross-sections in electromagnetic backgrounds
This paper shows that replacing a photon with a classical laser field can coherently boost QED cross-sections and improve their energy scaling, for example sigma_1->1 ~ (omega/m)^4 versus sigma_2->2 ~ (omega/m)^6.