Schwinger Pair Production in dS_2 and AdS_2

TL;DR

This paper investigates Schwinger pair production in scalar QED within two-dimensional de Sitter and Anti-de Sitter spaces, revealing a unified dependence on scalar curvature for the pair-production rate.

Contribution

It demonstrates that the pair-production rate in dS_2 and AdS_2 can be expressed as the same analytic function of scalar curvature under appropriate boundary conditions.

Findings

Pair-production rate depends analytically on scalar curvature in both spacetimes.

Unified description of pair production in dS_2 and AdS_2.

Boundary conditions crucial for the equivalence of rates.

Abstract

We study Schwinger pair production in scalar QED from a uniform electric field in dS_2 with scalar curvature R_{dS} = 2 H^2 and in AdS_2 with R_{AdS} = - 2 K^2. With suitable boundary conditions, we find that the pair-production rate is the same analytic function of the scalar curvature in both cases.