Schwinger pairs production in a soft-wall model

TL;DR

This paper numerically investigates Schwinger pair production in a soft-wall model, revealing new features in the production rate's behavior and comparing results with hard-wall models.

Contribution

It introduces a simplified method to determine the soft-wall position and explores the production rate's behavior, uncovering novel features not seen in previous models.

Findings

Identification of the soft-wall's critical position for pair production.

Discovery of new behaviors in the production rate's middle linear region.

Comparison showing differences between soft-wall and hard-wall models.

Abstract

The Schwinger pairs production rate is calculated numerically in the soft-wall model with the help of a simpler method in determining the soft-wall's position beyond which probe strings connecting the Schwinger pairs do not fall into. Behaviours of the production rate in both the upper critical region and the middle linear part are studied carefully. The latter exhibits interesting new features un-noted previously. All results are presented in comparisons with hard-wall models.