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

Annales Henri Poincare, ISSN: 1424-0637, Vol: 26, Issue: 2, Page: 527-595
2025
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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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