Geometric Origin of Stokes Phenomenon for de Sitter Radiation

Abstract

We propose a geometric interpretation for the Stokes phenomenon in de Sitter spacetime that particles are produced in even dimensions but not in odd dimensions. The scattering amplitude for a quantum field between the in-vacuum and the transported one along a closed path in the complex-time plane gives the particle-production rate that explains not only the Boltzmann factor from the simple pole at infinity, corresponding to the cosmological horizon, but also the sinusoidal behavior from simple poles at the north and south poles of the Euclidean geometry. The Stokes phenomenon is a consequence of interference among four independent closed paths in the complex plane.

RevTex 6 pages, 3 figures; replaced by the version to be published in Phys. Rev. D

References in corpus (11)

• The Magnus expansion and some of its applications
• De Sitter Space and Eternity
• The Stokes Phenomenon and Schwinger Vacuum Pair Production in Time-Dependent Laser Pulses
• Interference Effects in Schwinger Vacuum Pair Production for Time-Dependent Laser Pulses
• Improved Approximations for Fermion Pair Production in Inhomogeneous Electric Fields
• Complex Worldline Instantons and Quantum Interference in Vacuum Pair Production
• Effective Action of QED in Electric Field Backgrounds
• Hawking Radiation as Quantum Tunneling in Rindler Coordinate
• New Geometric Transition as Origin of Particle Production in Time-Dependent Backgrounds
• Schwinger Pair Production in Solitonic Gauge Fields
• Matrix Operator Approach to the Quantum Evolution Operator and the Geometric Phase

Cited by in corpus (13)

• 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
• Pair Production in Near Extremal Kerr-Newman Black Holes
• An analytic evaluation of gravitational particle production of fermions via Stokes phenomenon
• Pair Production of Scalar Dyons in Kerr-Newman Black Holes
• Schwinger Effect, Hawking Radiation and Gauge-Gravity Relation
• Geometric Origin of Pair Production by Electric Field in de Sitter Space
• Astrophysics in Strong Electromagnetic Fields and Laboratory Astrophysics
• Equivalence between the phase-integral and worldline-instanton methods
• Induced energy-momentum tensor of Dirac field in 2D de Sitter QED