The Stokes Phenomenon and Quantum Tunneling for de Sitter Radiation in Nonstationary Coordinates

Abstract

We study quantum tunneling for the de Sitter radiation in the planar coordinates and global coordinates, which are nonstationary coordinates and describe the expanding geometry. Using the phase-integral approximation for the Hamilton-Jacobi action in the complex plane of time, we obtain the particle-production rate in both coordinates and derive the additional sinusoidal factor depending on the dimensionality of spacetime and the quantum number for spherical harmonics in the global coordinates. This approach resolves the factor of two problem in the tunneling method.

LaTex 10 pages, no figure

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• Super-Adiabatic Particle Number in Schwinger and de Sitter Particle Production
• Gravitational Production of Superheavy Dark Matter and Associated Cosmological Signatures
• Chemical-Potential-Assisted Particle Production in FRW Spacetimes
• One-Loop Effective Action and Schwinger Effect in (Anti-) de Sitter Space
• Stokes phenomenon and gravitational particle production -- How to evaluate it in practice
• Geometric Origin of Stokes Phenomenon for de Sitter Radiation
• An analytic evaluation of gravitational particle production of fermions via Stokes phenomenon
• Vacuum Structure of de Sitter Space
• New Geometric Transition as Origin of Particle Production in Time-Dependent Backgrounds
• Geometric Origin of Pair Production by Electric Field in de Sitter Space
• Astrophysics in Strong Electromagnetic Fields and Laboratory Astrophysics
• Schwinger Pair Production in Solitonic Gauge Fields