# Worldline instantons and pair production in inhomogenous fields

@article{Dunne2005WorldlineIA, title={Worldline instantons and pair production in inhomogenous fields}, author={Gerald V. Dunne and Christian Schubert}, journal={Physical Review D}, year={2005}, volume={72}, pages={105004} }

We show how to do semiclassical nonperturbative computations within the worldline approach to quantum field theory using ``worldline instantons.'' These worldline instantons are classical solutions to the Euclidean worldline loop equations of motion, and are closed spacetime loops parametrized by the proper time. Specifically, we compute the imaginary part of the one-loop effective action in scalar QED using ``worldline instantons'' for a wide class of inhomogeneous electric field backgrounds…

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