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

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Annales Henri Poincaré Pub Date : 2024-06-26 DOI:10.1007/s00023-024-01459-6

Felix Finster, Magdalena Lottner

引用次数: 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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施瓦兹柴尔德黑洞地平线真空状态的费米纠缠熵

我们定义并分析了无穷远观测者正则真空状态下施瓦兹柴尔德黑洞视界的费米纠缠熵。利用变量分离和狄拉克传播者的积分表示法，计算出的纠缠熵是事件视界上所占角动量模式数量的前因数乘以。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annales Henri Poincaré 物理-物理：粒子与场物理

CiteScore

3.00

自引率

6.70%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The two journals Annales de l''Institut Henri Poincaré, physique théorique and Helvetica Physical Acta merged into a single new journal under the name Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics edited jointly by the Institut Henri Poincaré and by the Swiss Physical Society. The goal of the journal is to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers meeting the highest professional standards in the field. The emphasis will be on analytical theoretical and mathematical physics in a broad sense.