Stokes phenomenon and gravitational particle production - How to evaluate it in practice

Soichiro Hashiba, Yusuke Yamada

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


We revisit gravitational particle production from the Stokes phenomenon viewpoint, which helps us make a systematic way to understand asymptotic behavior of mode functions in time-dependent background. One of our purposes of this work is to make the method more practical for evaluation of non-perturbative particle production rate. In particular, with several examples of time-dependent backgrounds, we introduce some approximation methods that make the analysis more practical. Specifically, we consider particle production in simple expanding backgrounds, preheating after R2 inflation, and a transition model with smoothly changing mass. As we find several technical issues in analyzing the Stokes phenomenon of each example, we discuss how to simplify the problems while showing the accuracy of analytic estimation under the approximations we make.

Original languageEnglish
Article number022
JournalJournal of Cosmology and Astroparticle Physics
Issue number5
Publication statusPublished - 2021 May
Externally publishedYes

ASJC Scopus subject areas

  • Astronomy and Astrophysics


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