Vacua in locally de Sitter cosmologies, and how to distinguish them
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866914644497530880 |
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| author | Toussaint, Vladimir Louko, Jorma |
| author_facet | Toussaint, Vladimir Louko, Jorma |
| contents | (1+1)-dimensional locally de Sitter Friedmann-Robertson-Walker cosmologies with compact spatial sections allow cosh, sinh and exponential evolution laws, each with a freely-specifiable spatial circumference parameter, and the value of this parameter has an invariant geometric meaning for the cosh and sinh evolution laws. We identify geometrically preferred states for a quantised massive scalar field on these cosmologies, some singled out by adiabatic criteria in the distant past, with an ambiguity remaining due to a massive zero mode, and others induced from the Euclidean vacuum on standard (1+1)-dimensional de Sitter space by a quotient construction. We show that a comoving quantum observer, modelled as an Unruh-DeWitt detector, can distinguish these states from the Euclidean vacuum on standard de Sitter space. Numerical plots are given in selected parameter regimes. We also evaluate the field's stress-energy tensor expectation value for those states that are induced from the Euclidean vacuum by a quotient construction. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2304_10395 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Vacua in locally de Sitter cosmologies, and how to distinguish them Toussaint, Vladimir Louko, Jorma General Relativity and Quantum Cosmology High Energy Physics - Theory (1+1)-dimensional locally de Sitter Friedmann-Robertson-Walker cosmologies with compact spatial sections allow cosh, sinh and exponential evolution laws, each with a freely-specifiable spatial circumference parameter, and the value of this parameter has an invariant geometric meaning for the cosh and sinh evolution laws. We identify geometrically preferred states for a quantised massive scalar field on these cosmologies, some singled out by adiabatic criteria in the distant past, with an ambiguity remaining due to a massive zero mode, and others induced from the Euclidean vacuum on standard (1+1)-dimensional de Sitter space by a quotient construction. We show that a comoving quantum observer, modelled as an Unruh-DeWitt detector, can distinguish these states from the Euclidean vacuum on standard de Sitter space. Numerical plots are given in selected parameter regimes. We also evaluate the field's stress-energy tensor expectation value for those states that are induced from the Euclidean vacuum by a quotient construction. |
| title | Vacua in locally de Sitter cosmologies, and how to distinguish them |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2304.10395 |