Constraints on the Sharpness of the Curvature Power Spectrum
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916637651763200 |
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| author | Inomata, Keisuke Luo, Xuheng |
| author_facet | Inomata, Keisuke Luo, Xuheng |
| contents | Motivated by the fact that a sharply peaked curvature spectrum is often considered in the literature, we examine theoretical constraints on the sharpness of such a spectrum. In particular, we show that the sharply peaked curvature power spectrum, originating from the enhancement of subhorizon perturbations during inflation, is significantly constrained by energy conservation. While the constraints do not depend on the exact form of inflaton potential, we also study concrete inflaton potentials that realize a sharply peaked curvature spectrum and how theoretical limits are saturated in these cases. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_07086 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constraints on the Sharpness of the Curvature Power Spectrum Inomata, Keisuke Luo, Xuheng Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Motivated by the fact that a sharply peaked curvature spectrum is often considered in the literature, we examine theoretical constraints on the sharpness of such a spectrum. In particular, we show that the sharply peaked curvature power spectrum, originating from the enhancement of subhorizon perturbations during inflation, is significantly constrained by energy conservation. While the constraints do not depend on the exact form of inflaton potential, we also study concrete inflaton potentials that realize a sharply peaked curvature spectrum and how theoretical limits are saturated in these cases. |
| title | Constraints on the Sharpness of the Curvature Power Spectrum |
| topic | Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2410.07086 |