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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.15261 |
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| _version_ | 1866908412668805120 |
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| author | Liu, Yu-Qi Yu, Hao-Wei Cheng, Peng |
| author_facet | Liu, Yu-Qi Yu, Hao-Wei Cheng, Peng |
| contents | Exploring quantum effects from black hole thermodynamics has always been a pivotal topic. In recent years, the free energy landscape and ensemble-averaged theory based on the Euclidean path integral approach have provided further understanding of the statistical aspects of the black hole system. We investigate the quantum-corrected thermodynamics of the Reissner-Nordstrom-AdS black hole by including off-shell geometries in the path integral. We obtain a one-loop effective action by considering the subleading-order terms in the ensemble-averaged theory, and verify that the effective thermodynamic quantities consistent with the effective action define a valid thermodynamics. Furthermore, the phase diagram was modified by the off-shell effects, resulting in a more abundant phase structure. We discover that the traditional black hole thermodynamics can be recovered in the semi-classical limit. The region of first-order phase transitions shrinks and zero-order phase transitions emerge when off-shell effects are included. The results provide new perspectives for understanding the quantum corrections in black hole thermodynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15261 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum-corrected black hole thermodynamics from the gravitational path integral Liu, Yu-Qi Yu, Hao-Wei Cheng, Peng High Energy Physics - Theory General Relativity and Quantum Cosmology Exploring quantum effects from black hole thermodynamics has always been a pivotal topic. In recent years, the free energy landscape and ensemble-averaged theory based on the Euclidean path integral approach have provided further understanding of the statistical aspects of the black hole system. We investigate the quantum-corrected thermodynamics of the Reissner-Nordstrom-AdS black hole by including off-shell geometries in the path integral. We obtain a one-loop effective action by considering the subleading-order terms in the ensemble-averaged theory, and verify that the effective thermodynamic quantities consistent with the effective action define a valid thermodynamics. Furthermore, the phase diagram was modified by the off-shell effects, resulting in a more abundant phase structure. We discover that the traditional black hole thermodynamics can be recovered in the semi-classical limit. The region of first-order phase transitions shrinks and zero-order phase transitions emerge when off-shell effects are included. The results provide new perspectives for understanding the quantum corrections in black hole thermodynamics. |
| title | Quantum-corrected black hole thermodynamics from the gravitational path integral |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2506.15261 |