Electric fields and quantum wormholes

Abstract

Electric fields can thread a classical Einstein-Rosen bridge. Maldacena and Susskind have recently suggested that in a theory of dynamical gravity the entanglement of ordinary perturbative quanta should be viewed as creating a quantum version of an Einstein-Rosen bridge between the particles, or a "quantum wormhole". We demonstrate within low-energy effective field theory that there is a precise sense in which electric fields can also thread such quantum wormholes. We define a non-perturbative "wormhole susceptibility" that measures the ease of passing an electric field through any sort of wormhole. The susceptibility of a quantum wormhole is suppressed by powers of the U(1) gauge coupling relative to that for a classical wormhole but can be made numerically equal with a sufficiently large amount of entangled matter.

7 pages + appendix and refs, 6 figures; v2: references added

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Cited by in corpus (4)

• Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture
• On the construction of charged operators inside an eternal black hole
• A universal formula for the density of states in theories with finite-group symmetry
• Smooth Causal Patches for AdS Black Holes