Minimal Length Effects on Schwinger Mechanism

TL;DR

This paper explores how a minimal length modifies the Schwinger mechanism, affecting particle production rates and related phenomena like Unruh and Hawking temperatures within a deformed quantum field theory framework.

Contribution

It introduces a minimal length into QFT to analyze its impact on the Schwinger mechanism for scalar and Dirac fields, and discusses implications for temperature corrections.

Findings

Minimal length alters the Schwinger pair production rate.

Corrections to Unruh and Hawking temperatures are derived.

Results suggest measurable effects of minimal length in quantum field phenomena.

Abstract

In this paper, we investigate effects of the minimal length on the Schwinger mechanism using the quantum field theory (QFT) incorporating the minimal length. We first study the Schwinger mechanism for scalar fields in both usual QFT and the deformed QFT. The same calculations are then performed in the case of Dirac particles. Finally, we discuss how our results imply for the corrections to the Unruh temperature and the Hawking temperature due to the minimal length.