Multidimensional Worldline Instantons

Details Multidimensional Worldline Instantons Multidimensional Worldline Instantons

2006-08-02

arxiv.org/abs/hep-th/0608020v1

Phys.Rev.D74:065015,2006

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 13 figures

Scientific paper

10.1103/PhysRevD.74.065015

We extend the worldline instanton technique to compute the vacuum pair production rate for spatially inhomogeneous electric background fields, with the spatial inhomogeneity being genuinely two or three dimensional, both for the magnitude and direction of the electric field. Other techniques, such as WKB, have not been applied to such higher dimensional problems. Our method exploits the instanton dominance of the worldline path integral expression for the effective action.

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