The Exact WKB for particle production: from baryogenesis to Hawking radiation

Date

2023/10/31 11:00 – 12:00

Venue

Hybrid (On-site: Seminar room 321, 322. Online: Zoom)

Speaker

Prof. Tomohiro Matsuda (Saitama Institute of Technology)

Language

English

URL

Contact

Wakutaka Nakano / wnakano-AT-post.kek.jp


Overview

Most particle production can be solved by approximate methods, but some problems cannot be solved without serious consideration of the Stokes phenomenon. One such particle production is baryon number production from rotating fields. Processes such as particle-antiparticle mixing increase the order of the differential equations to be solved, so new knowledge of ExactWKB, including Virtual Turning Point, is required. The other is particle production from a steady state. This problem includes the Schwinger effect, the Unruh effect and Hawking radiation. In particular, the Stokes phenomenon of the Unruh effect has been unsolved for 50 years. This talk shows how the Exact WKB can be used to solve these problems clearly.

Release date 2023/09/29 Updated 2024/03/02