Energy spectrum of a quantum spacetime with boundary

Shoichiro Miyashita*

*この研究の対応する著者

研究成果: Article査読

1 被引用数 (Scopus)

抄録

In this paper, I revisit the microcanonical partition function, or density of states (DOS), of general relativity. By using the minisuperspace path integral approximation, I directly calculate the S2 × Disc topology sector of the DOS of a (quantum) spacetime with an S2 × R Lorentzian boundary from the microcanonical path integral, in contrast with previous works in which DOSs are derived by inverse Laplace transformation from various canonical partition functions. Although I found there always exists only one saddle point for any given boundary data, it does not always dominate the possible integration contours. There is another contribution to the path integral other than the saddle point. One of the obtained DOSs has behavior similar to that of the previous DOSs; that is, it exhibits exponential Bekenstein-Hawking entropy for the limited energy range (1 - √ 2/3) <GE/Rb < (1 + √ 2/3), where energy E is defined by the Brown-York quasi-local energy momentum tensor and Rb is the radius of the boundary S2. In that range, the DOS is dominated by the saddle point. However, for sufficiently high energy, where the saddle point no longer dominates, the DOS approaches a positive constant, different from the previous ones, which approach zero.

本文言語English
論文番号155003
ジャーナルClassical and Quantum Gravity
36
15
DOI
出版ステータスPublished - 2019 7 12

ASJC Scopus subject areas

  • 物理学および天文学(その他)

フィンガープリント

「Energy spectrum of a quantum spacetime with boundary」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル