The exact WKB for cosmological particle production

Abstract

The Bogoliubov transformation in cosmological particle production can be explained by the Stokes phenomena of the corresponding ordinary differential equation. The calculation becomes very simple as far as the solution is described by a special function. Otherwise, the calculation requires more tactics, where the Exact WKB (EWKB) may be a powerful tool. Using the EWKB, we discuss cosmological particle production focusing on the effect of more general interaction and classical scattering. The classical scattering appears when the corresponding scattering problem of the Schrödinger equation develops classical turning points on the trajectory. The higher process of fermionic preheating is also discussed using the Landau-Zener model.

16 pages, 14 figures, version to appear in JHEP, added references

References in corpus (5)

• Schwinger Mechanism During Inflation
• Cosmological perturbations from inhomogeneous preheating and multi-field trapping
• Remote Inflation: Hybrid-like inflation without hybrid-type potential
• No-go theorem of anisotropic inflation via Schwinger mechanism
• Preheating with higher dimensional interaction

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• Exact-WKB analysis for SUSY and quantum deformed potentials: Quantum mechanics with Grassmann fields and Wess-Zumino terms
• Analytical WKB theory for high-harmonic generation and its application to massive Dirac electrons
• The Exact WKB and the Landau-Zener transition for asymmetry in cosmological particle production
• The Exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiation
• The Exact WKB analysis for asymmetric scalar preheating
• Nonadiabatic Phase Transition with Broken Chiral Symmetry
• QFT approach to dressed particle processes in preheating and non-perturbative mechanism in kinematically-forbidden regime