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Multidimensional Worldline Instantons
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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.
Forward citations
Cited by 2 Pith papers
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Schwinger pair production in spacetime fields: Moir\'e patterns, Aharonov-Bohm phases and Sturm-Liouville eigenvalues
Two spacetime-separated electric pulses generically produce interference in the pair-production momentum spectrum when they are parallel, unlike time-dependent pulses, and can create 2D moiré patterns in the electron-...
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Scattered wave functions and worldline instantons for particle production in curved spacetime
Extends scattered-wave-function and open-worldline-instanton methods to multidimensional curved spacetimes and demonstrates agreement on 2D metric examples.
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