Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-08-17
Phys.Lett.B684:177-180,2010
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, no figure, version to be published in PLB
Scientific paper
10.1016/j.physletb.2010.01.043
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.
Ling Yi
Wu Jian-Pin
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