Quintessence and the Higgs Portal in the Carroll limit
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866914839596630016 |
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| author | Avila, B. Gamboa, J. MacKenzie, R. B. Mendez, F. Paranjape, M. B. |
| author_facet | Avila, B. Gamboa, J. MacKenzie, R. B. Mendez, F. Paranjape, M. B. |
| contents | A cosmological model based on two scalar fields is proposed. The first of these, $φ$, has mass $μ$, while the second, $χ$, is massless. The pair are coupled through a ``Higgs portal''. First, we show how the model reproduces the Friedmann equations if the square of the mass of the $φ$ field is proportional to the cosmological constant and $χ$ represents the quintessence field. Quantum corrections break the conformal symmetry, and the $χ$ field acquires a mass equal to $\sqrt{3gΛ}$. The perturbative approach with $g\ll 1$ is consistent with the bounds for $m_χ$; moreover, by using dimensional analysis, we estimate $m_χ\ll H_0\approx 10^{-33}$ eV, which is in accordance with what is expected in the quintessence scenario. The acceleration of the universe is proportional to $χ^2$, we conclude that for very long times, the solution of the equation of motion approaches $\langle χ\rangle \sim {m_χ}/{\sqrtλ}$ and the universe continues to accelerate, with a constant acceleration. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_17393 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quintessence and the Higgs Portal in the Carroll limit Avila, B. Gamboa, J. MacKenzie, R. B. Mendez, F. Paranjape, M. B. High Energy Physics - Theory High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology A cosmological model based on two scalar fields is proposed. The first of these, $φ$, has mass $μ$, while the second, $χ$, is massless. The pair are coupled through a ``Higgs portal''. First, we show how the model reproduces the Friedmann equations if the square of the mass of the $φ$ field is proportional to the cosmological constant and $χ$ represents the quintessence field. Quantum corrections break the conformal symmetry, and the $χ$ field acquires a mass equal to $\sqrt{3gΛ}$. The perturbative approach with $g\ll 1$ is consistent with the bounds for $m_χ$; moreover, by using dimensional analysis, we estimate $m_χ\ll H_0\approx 10^{-33}$ eV, which is in accordance with what is expected in the quintessence scenario. The acceleration of the universe is proportional to $χ^2$, we conclude that for very long times, the solution of the equation of motion approaches $\langle χ\rangle \sim {m_χ}/{\sqrtλ}$ and the universe continues to accelerate, with a constant acceleration. |
| title | Quintessence and the Higgs Portal in the Carroll limit |
| topic | High Energy Physics - Theory High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2312.17393 |