Entropy-area law and temperature of de Sitter horizons from modular theory
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866914675173621760 |
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| author | D'Angelo, Edoardo Fröb, Markus B. Galanda, Stefano Meda, Paolo Much, Albert Papadopoulos, Kyriakos |
| author_facet | D'Angelo, Edoardo Fröb, Markus B. Galanda, Stefano Meda, Paolo Much, Albert Papadopoulos, Kyriakos |
| contents | We derive an entropy-area law for the future horizon of an observer in diamonds inside the static patch of de Sitter spacetime, taking into account the backreaction of quantum matter fields. We prove positivity and convexity of the relative entropy for coherent states using Tomita--Takesaki modular theory, from which the QNEC for diamonds follows. Furthermore, we show that the generalized entropy conjecture holds. Finally, we reveal that the local temperature which is measured by an observer at rest exhibits subleading quantum corrections with respect to the well-known cosmological horizon temperature $H/(2π)$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2311_13990 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Entropy-area law and temperature of de Sitter horizons from modular theory D'Angelo, Edoardo Fröb, Markus B. Galanda, Stefano Meda, Paolo Much, Albert Papadopoulos, Kyriakos High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics We derive an entropy-area law for the future horizon of an observer in diamonds inside the static patch of de Sitter spacetime, taking into account the backreaction of quantum matter fields. We prove positivity and convexity of the relative entropy for coherent states using Tomita--Takesaki modular theory, from which the QNEC for diamonds follows. Furthermore, we show that the generalized entropy conjecture holds. Finally, we reveal that the local temperature which is measured by an observer at rest exhibits subleading quantum corrections with respect to the well-known cosmological horizon temperature $H/(2π)$. |
| title | Entropy-area law and temperature of de Sitter horizons from modular theory |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2311.13990 |