Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.14235 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911781882953728 |
|---|---|
| author | Lu, Mengqi Mann, Robert B. |
| author_facet | Lu, Mengqi Mann, Robert B. |
| contents | We evaluate the quantum gravity partition function that counts the dimension of the Hilbert space of a simply connected spatial region of fixed proper volume in the context of Lovelock gravity, generalizing the results for Einstein gravity [1]. We find that there exists sphere saddle metrics for a partition function at a fixed spatial volume in Lovelock theory. Those stationary points take exactly the same forms as in Einstein gravity. The logarithm of Z corresponding to a zero effective cosmological constant indicates the Bekenstein-Hawking entropy of the boundary area and the one corresponding to a positive effective cosmological constant points to the Wald entropy of the boundary area. We also observe the existence of zeroth order phase transitions between different vacua, a phenomenon distinct from Einstein gravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14235 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lagrangian partition functions subject to a fixed spatial volume constraint in the Lovelock theory Lu, Mengqi Mann, Robert B. High Energy Physics - Theory Quantum Physics We evaluate the quantum gravity partition function that counts the dimension of the Hilbert space of a simply connected spatial region of fixed proper volume in the context of Lovelock gravity, generalizing the results for Einstein gravity [1]. We find that there exists sphere saddle metrics for a partition function at a fixed spatial volume in Lovelock theory. Those stationary points take exactly the same forms as in Einstein gravity. The logarithm of Z corresponding to a zero effective cosmological constant indicates the Bekenstein-Hawking entropy of the boundary area and the one corresponding to a positive effective cosmological constant points to the Wald entropy of the boundary area. We also observe the existence of zeroth order phase transitions between different vacua, a phenomenon distinct from Einstein gravity. |
| title | Lagrangian partition functions subject to a fixed spatial volume constraint in the Lovelock theory |
| topic | High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2402.14235 |