Non-perturbative particle production and differential geometry

Abstract

This paper proposes a basic method for understanding stationary particle production on manifolds by means of the Stokes phenomenon. We studied the Stokes phenomena of the Schwinger effect, the Unruh effect and Hawking radiation in detail focusing on the origin of their continuous particle production. We found a possibility that conventional calculations may not explain the experimental results.

Comments: 18pages, 4 figure, improved discussions