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

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.

60 pages, LaTeX, 6 figures, minor changes (published version)

References in corpus (1)

• Local Dirac energy decay in the 5D Myers-Perry geometry using an integral spectral representation for the Dirac propagator

Cited by in corpus (3)

• The Widom-Sobolev formula for discontinuous matrix-valued symbols
• Notions of Fermionic Entropies of a Causal Fermion System
• Enhanced area law in the Widom-Sobolev formula for the free Dirac operator in arbitrary dimension