Holographic Schwinger Effect and the Geometry of Entanglement

TL;DR

This paper links the holographic dual of entangled quark-antiquark pairs to Schwinger pair creation instantons, providing a geometric interpretation involving wormholes that supports the ER=EPR conjecture within AdS/CFT.

Contribution

It reveals that the bulk dual of an entangled quark-antiquark pair corresponds to a Lorentzian continuation of Schwinger pair creation instantons, connecting entanglement and wormhole geometry.

Findings

Bulk dual of entangled pair is a Lorentzian continuation of Schwinger instanton.

Supports the ER=EPR conjecture in holography.

Proposes a geometric picture of entanglement as wormholes in AdS/CFT.

Abstract

In this note we point out that the recently proposed bulk dual of an entangled pair of a quark and an anti-quark corresponds to the Lorentzian continuation of the tunneling instanton describing Schwinger pair creation in the dual field theory. This observation supports and further explains the claim by Jensen & Karch that the bulk dual of an EPR pair is a string with a wormhole on its world sheet. We suggest that this constitutes an AdS/CFT realization of the creation of a Wheeler wormhole.