Holographic description of the Schwinger effect in electric and magnetic fields

TL;DR

This paper extends the holographic Schwinger effect framework to include constant electric and magnetic fields, analyzing their effects through probe D3-brane and string world-sheet models.

Contribution

It introduces a generalized holographic model incorporating magnetic fields in the Schwinger effect using two different theoretical approaches.

Findings

Magnetic fields influence the Schwinger effect in holographic models.

Two methods to incorporate magnetic fields are developed and analyzed.

The effects of magnetic fields are characterized through Lorentz transformations and string solutions.

Abstract

We consider a generalization of the holographic Schwinger effect proposed by Semenoff and Zarembo to the case with constant electric and magnetic fields. There are two ways to turn on magnetic fields, i) the probe D3-brane picture and ii) the string world-sheet picture. In the former picture, magnetic fields both perpendicular and parallel to the electric field are activated by a Lorentz transformation and a spatial rotation. In the latter one, the classical solutions of the string world-sheet corresponding to circular Wilson loops are generalized to contain two additional parameters encoding the presence of magnetic fields.