New Geometric Transition as Origin of Particle Production in Time-Dependent Backgrounds

Abstract

By extending the quantum evolution of a scalar field in time-dependent backgrounds to the complex-time plane and transporting the in-vacuum along a closed path, we argue that the geometric transition from the simple pole at infinity determines the multi-pair production depending on the winding number. We apply the geometric transition to Schwinger mechanism in the time-dependent vector potential for a constant electric field and to Gibbons-Hawking particle production in the planar coordinates of a de Sitter space.

RevTex 6 pages, 3 figures; references added and replaced by the version to be published in Phys. Lett. B

References in corpus (11)

• Worldline Instantons II: The Fluctuation Prefactor
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• Subtleties in the quasi-classical calculation of Hawking radiation
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Cited by in corpus (6)

• One-Loop Effective Action and Schwinger Effect in (Anti-) de Sitter Space
• Pair production from residues of complex worldline instantons
• Geometric Origin of Stokes Phenomenon for de Sitter Radiation
• Schwinger Effect, Hawking Radiation and Gauge-Gravity Relation
• Geometric Origin of Pair Production by Electric Field in de Sitter Space
• Equivalence between the phase-integral and worldline-instanton methods