Thermal non-Gaussianity in Near-Milne universe

TL;DR

This paper explores how thermal non-Gaussianity varies in the Near-Milne universe, showing dependence on phase transition presence and parameters, with potential for large non-Gaussian signals under specific conditions.

Contribution

It classifies thermal fluctuations and analyzes their non-Gaussianity dependence on phase transition and model parameters, providing new insights into early universe scenarios.

Findings

Non-Gaussianity depends linearly on k with phase transition.

Non-Gaussianity scales as k^{-3γ} without phase transition.

Large non-Gaussianity possible near ω_C → -5/3.

Abstract

The thermal non-Gaussianity in Near-Milne universe is investigated in this letter. Through classifying thermal fluctuations into two types, one characterized by a phase transition and the other without phase transition, we show that for fluctuations undergoing a phase transition, the non-Gaussianity depends linearly on $k$, but in non-phase transition case it is proportional to $k^{-3\gamma},\gamma>0$. Moreover, if the phase transition scenario is similar to that in holographic cosmology, we find that the non-Gaussianity $f_{NL}^{equil}$ can reach ${\cal O}(1)$ or larger than ${\cal O}(1)$ by fine tuning of the equation of state $\omega_{C}$. Especially at the limit of $\omega_{C}\to -5/3$, the non-Gaussianity can be very large. On the other hand, for non-phase transition case, the non-Gaussianity estimator $f_{NL}^{equil}$ is approximately $f_{NL}^{equil}\simeq 5/108$ when the energy is sub-extensive, especially when $\gamma \to 0^{+}$. However, when $\gamma \to 4$, large non-Gaussianity can be obtained.