Density matrix of de Sitter JT gravity
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911556710694912 |
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| author | Buchmuller, Wilfried Westphal, Alexander |
| author_facet | Buchmuller, Wilfried Westphal, Alexander |
| contents | Jackiw-Teitelboim (JT) gravity in two-dimensional de Sitter space is an intriguing toy model for a quantum mechanical description of an inflationary phase of the universe, including initial conditions. Starting from exact solutions of the Wheeler-DeWitt equation, we study a conditional density matrix of the system. We find that the ground state is a mixed state, rather than a pure Hartle-Hawking state. Our results are consistent with the semiclassical double-trumpet amplitude, and with recent work on complex geometries containing bra-ket wormholes. We also analyze semiclassical wave functions for metric, dilaton, and an additional inflaton field. The probability distribution for the size of the universe is flat. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29538 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Density matrix of de Sitter JT gravity Buchmuller, Wilfried Westphal, Alexander High Energy Physics - Theory General Relativity and Quantum Cosmology Jackiw-Teitelboim (JT) gravity in two-dimensional de Sitter space is an intriguing toy model for a quantum mechanical description of an inflationary phase of the universe, including initial conditions. Starting from exact solutions of the Wheeler-DeWitt equation, we study a conditional density matrix of the system. We find that the ground state is a mixed state, rather than a pure Hartle-Hawking state. Our results are consistent with the semiclassical double-trumpet amplitude, and with recent work on complex geometries containing bra-ket wormholes. We also analyze semiclassical wave functions for metric, dilaton, and an additional inflaton field. The probability distribution for the size of the universe is flat. |
| title | Density matrix of de Sitter JT gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2603.29538 |