The Fermionic Entanglement Entropy of the Vacuum State of a Schwarzschild Black Hole Horizon
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915155825131520 |
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| author | Finster, Felix Lottner, Magdalena |
| author_facet | Finster, Felix Lottner, Magdalena |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_07212 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Fermionic Entanglement Entropy of the Vacuum State of a Schwarzschild Black Hole Horizon Finster, Felix Lottner, Magdalena Mathematical Physics General Relativity and Quantum Cosmology Quantum Physics 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. |
| title | The Fermionic Entanglement Entropy of the Vacuum State of a Schwarzschild Black Hole Horizon |
| topic | Mathematical Physics General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2302.07212 |