Worldline Instantons and Pair Production in Inhomogeneous Fields

Details Worldline Instantons and Pair Production in Inhomogeneous Fields Worldline Instantons and Pair Production in Inhomogeneous Fields

2005-07-18

arxiv.org/abs/hep-th/0507174v2

Phys.Rev. D72 (2005) 105004

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 11 figures; v2: refs and section on spinor QED added

Scientific paper

10.1103/PhysRevD.72.105004

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. We treat both time dependent and space dependent electric fields, and note that temporal inhomogeneities tend to shrink the instanton loops, while spatial inhomogeneities tend to expand them. This corresponds to temporal inhomogeneities tending to enhance local pair production, with spatial inhomogeneities tending to suppress local pair production. We also show how the worldline instanton technique extends to spinor QED.

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