Holographic Schwinger effect in a soft wall AdS/QCD model

TL;DR

This paper investigates the holographic Schwinger effect within a deformed AdS/QCD model, analyzing how chemical potential and confining scale influence particle production and calculating the critical electric field using string theory techniques.

Contribution

It introduces a potential analysis of the Schwinger effect in a soft wall AdS/QCD model with dilaton deformation, incorporating chemical potential effects and computing the critical electric field via DBI action.

Findings

Chemical potential enhances particle production rate.

Confining scale reverses the effect of chemical potential.

Critical electric field is calculated using DBI action.

Abstract

We perform the potential analysis for the holographic Schwinger effect in a deformed $AdS_5$ model with conformal invariance broken by a background dilaton. We evaluate the static potential by analyzing the classical action of a string attaching the rectangular Wilson loop on a probe D3 brane sitting at an intermediate position in the bulk AdS space. We observe that the inclusion of chemical potential tends to enhance the production rate, reverse to the effect of confining scale. Also, we calculate the critical electric field by Dirac-Born-Infeld (DBI) action.