The CWKB Method of Particle Production in Periodic Potential

TL;DR

This paper applies the complex time WKB method to analyze particle production in a periodic potential during inflationary reheating, confirming previous results with a different approximation approach.

Contribution

It introduces the CWKB approximation to study particle production in time-dependent periodic potentials during inflationary reheating, providing an alternative validation of earlier findings.

Findings

CWKB yields results similar to previous methods on catastrophic particle production

Confirms the effectiveness of CWKB in cosmological particle production analysis

Supports the role of oscillating inflaton fields in reheating processes

Abstract

In this work we study the particle production in time dependent periodic potential using the method of complex time WKB (CWKB) approximation. In the inflationary cosmology at the end of inflationary stage, the potential becomes time dependent as well as periodic. Reheating occurs due to particle production by the oscillating inflaton field. Using CWKB we obtain almost identical results on catastrophic particle production as obtained by others.