Chemical-Potential-Assisted Particle Production in FRW Spacetimes

TL;DR

This paper investigates how chemical potential influences gravitational particle production in FRW spacetimes, providing detailed analytic formulas and demonstrating the method's effectiveness in cosmological contexts.

Contribution

It introduces the uniformly smoothed Stokes-line method to analyze particle production, offering new semi-analytic formulas for different particle spins in cosmological backgrounds.

Findings

Derived formulas for particle production amount, timing, and width.

Applied the method to both spin-1 and spin-1/2 particles.

Showcased the method's utility in cosmological particle production analysis.

Abstract

We analyze gravitational particle production assisted by chemical potential. By utilizing the uniformly smoothed Stokes-line method and Borel summation, we gain insight into the fine-grained history of enhanced particle production. Analytic/semi-analytic formulae describing the production amount, time and width are obtained for both spin-1 and spin-1/2 particles in various FRW spacetimes. Our work also serves as a concrete demonstration of the uniformly smoothed Stokes-line method applied to cosmology.