Worldline Instantons II: The Fluctuation Prefactor

Details Worldline Instantons II: The Fluctuation Prefactor Worldline Instantons II: The Fluctuation Prefactor

2006-02-17

arxiv.org/abs/hep-th/0602176v2

Phys.Rev.D73:065028,2006

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 1 figure; v2 references added, version in PRD

Scientific paper

10.1103/PhysRevD.73.065028

In a previous paper [1], it was shown that the worldline expression for the nonperturbative imaginary part of the QED effective action can be approximated by the contribution of a special closed classical path in Euclidean spacetime, known as a worldline instanton. Here we extend this formalism to compute also the prefactor arising from quantum fluctuations about this classical closed path. We present a direct numerical approach for determining this prefactor, and we find a simple explicit formula for the prefactor in the cases where the inhomogeneous electric field is a function of just one spacetime coordinate. We find excellent agreement between our semiclassical approximation, conventional WKB, and recent numerical results using numerical worldline loops.

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