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

• URL: http://arxiv.org/abs/2302.07212v4
• Date: Mon, 24 Jun 2024 16:16:39 GMT
• Title: The Fermionic Entanglement Entropy of the Vacuum State of a Schwarzschild Black Hole Horizon
• Authors: Felix Finster, Magdalena Lottner,
• Abstract summary: We 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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