Schwinger Type Pair Production in Non-SUSY AdS/CFT

TL;DR

This paper investigates particle pair production in a non-supersymmetric gauge theory using holography, analyzing potential profiles, threshold electric fields, and production rates to understand vacuum stability.

Contribution

It provides the first holographic analysis of pair production thresholds and rates in a non-supersymmetric setting, combining numerical and analytical methods.

Findings

Identified the critical electric field for catastrophic pair creation.

Calculated pair production rates using Wilson loops.

Found the vacuum instability in the non-supersymmetric gauge theory.

Abstract

We study pair production of particles in presence of an external electric field in a large N Non-supersymmetric Yang Mills theory using the holographic duality. We numerically calculate the inter-quark potential profile and the effective potential to study pair production and analytically find out the threshold electric field beyond which one gets catastrophic pair creation by studying rectangular Wilson loops using the holographic method. We also find out the pair production rate of particles in presence of an external electric field by evaluating circular Wilson loops using perturbative methods. We infer that the vacuum of the Non-SuSy gauge theory is unstable for a range of Non-supersymmetric parameter.