Quantum Mechanics of a Spherically Symmetric Causal Diamond in Minkowski Spacetime
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910890775805952 |
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| author | Bub, Mathew W. He, Temple Mitra, Prahar Zhang, Yiwen Zurek, Kathryn M. |
| author_facet | Bub, Mathew W. He, Temple Mitra, Prahar Zhang, Yiwen Zurek, Kathryn M. |
| contents | We construct the phase space of a spherically symmetric causal diamond in $(d+2)$-dimensional Minkowski spacetime. Utilizing the covariant phase space formalism, we identify the relevant degrees of freedom that localize to the $d$-dimensional bifurcate horizon and, upon canonical quantization, determine their commutators. On this phase space, we find two Iyer-Wald charges. The first of these charges, proportional to the area of the causal diamond, is responsible for shifting the null time along the horizon and has been well-documented in the literature. The second charge is much less understood, being integrable for $d \geq 2$ only if we allow for field-dependent diffeomorphisms and is responsible for changing the size of the causal diamond. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11094 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Mechanics of a Spherically Symmetric Causal Diamond in Minkowski Spacetime Bub, Mathew W. He, Temple Mitra, Prahar Zhang, Yiwen Zurek, Kathryn M. High Energy Physics - Theory General Relativity and Quantum Cosmology We construct the phase space of a spherically symmetric causal diamond in $(d+2)$-dimensional Minkowski spacetime. Utilizing the covariant phase space formalism, we identify the relevant degrees of freedom that localize to the $d$-dimensional bifurcate horizon and, upon canonical quantization, determine their commutators. On this phase space, we find two Iyer-Wald charges. The first of these charges, proportional to the area of the causal diamond, is responsible for shifting the null time along the horizon and has been well-documented in the literature. The second charge is much less understood, being integrable for $d \geq 2$ only if we allow for field-dependent diffeomorphisms and is responsible for changing the size of the causal diamond. |
| title | Quantum Mechanics of a Spherically Symmetric Causal Diamond in Minkowski Spacetime |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2408.11094 |