作为拉伸视界的共形无限的重正化

IF 3.6 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS
Aldo Riello and Laurent Freidel
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引用次数: 0

摘要

本文全面研究了偶数维渐近平坦时空。我们分析了最一般的边界条件和渐近对称性,它们与彭罗斯通过共形致密化定义的渐近空无穷大相兼容。根据彭罗斯的处方并使用最小版本的邦迪-萨克斯量规,我们证明了自然配备了卡罗尔应力张量,其径向导数定义了渐近韦尔张量。这种分析将渐近无穷描述为保形压缩时空中的拉伸视界。我们确定电荷方面守恒可以写成渐近韦尔张量的卡罗尔比安奇等式。然后,我们为渐近交映势提供了一种协变重正化,从而产生了有限交映通量和渐近电荷。即使存在对数反常现象,重正化方案也能正常工作。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Renormalization of conformal infinity as a stretched horizon
In this paper, we provide a comprehensive study of asymptotically flat spacetime in even dimensions . We analyze the most general boundary condition and asymptotic symmetry compatible with Penrose’s definition of asymptotic null infinity through conformal compactification. Following Penrose’s prescription and using a minimal version of the Bondi–Sachs gauge, we show that is naturally equipped with a Carrollian stress tensor whose radial derivative defines the asymptotic Weyl tensor. This analysis describes asymptotic infinity as a stretched horizon in the conformally compactified spacetime. We establish that charge aspects conservation can be written as Carrollian Bianchi identities for the asymptotic Weyl tensor. We then provide a covariant renormalization for the asymptotic symplectic potential, which results in a finite symplectic flux and asymptotic charges. The renormalization scheme works even in the presence of logarithmic anomalies.
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来源期刊
Classical and Quantum Gravity
Classical and Quantum Gravity 物理-天文与天体物理
CiteScore
7.00
自引率
8.60%
发文量
301
审稿时长
2-4 weeks
期刊介绍: Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.
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