Quintessence and the Higgs Portal in the Carroll limit

Abstract

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.