The Fermionic Entanglement Entropy of the Vacuum State of a Schwarzschild Black Hole Horizon

Finster, Felix and Lottner, Magdalena (2025) The Fermionic Entanglement Entropy of the Vacuum State of a Schwarzschild Black Hole Horizon. ANNALES HENRI POINCARE, 26 (2). pp. 527-595. ISSN 1424-0637, 1424-0661

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Abstract

We define and analyze the fermionic entanglement entropy of a Schwarzschild black hole horizon for the regularized vacuum state of an observer at infinity. Using separation of variables and an integral representation of the Dirac propagator, the entanglement entropy is computed to be a prefactor times the number of occupied angular momentum modes on the event horizon.

Item Type: Article
Uncontrolled Keywords: OPERATORS;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Felix Finster
Depositing User: Dr. Gernot Deinzer
Date Deposited: 03 Mar 2026 09:13
Last Modified: 03 Mar 2026 09:13
URI: https://pred.uni-regensburg.de/id/eprint/63517

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