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arXiv 0809.3398hep-thastro-phgr-qc
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全息宇宙学中的热非高斯性

Thermal non-Gaussianity in holographic cosmology

Yi Ling, Jian-Pin Wu

摘要:

最近,它已被证明,热全息涨落可以引起一个几乎尺度不变的频谱的度量扰动,因为在这种情况下,能量是成比例的边界面积,而不是体积。在这里,我们计算的非高斯频谱的宇宙学涨落全息相位,它可以印在辐射占主导地位的宇宙突然跃迁。我们发现,如果物质是类幻影,非高斯性$f_{NL}^{equil}$可以达到${\cal O}(1)$,甚至大于${\cal O}(1)$。特别是在极限$ω\to -5/3$中,非高斯性非常大且为负。此外,由于能量与面积成比例,如果忽略转变期间(固定温度)$T$的变化,则热全息非高斯性线性地依赖于$k$。

英文摘要:

Recently it has been shown that the thermal holographic fluctuations can give rise to an almost scale invariant spectrum of metric perturbations since in this scenario the energy is proportional to the area of the boundary rather than the volume. Here we calculate the non-Gaussianity of the spectrum of cosmological fluctuations in holographic phase, which can imprint on the radiation dominated universe by an abrupt transition. We find that if the matter is phantom-like, the non-Gaussianity $f_{NL}^{equil}$ can reach ${\cal O}(1)$ or even be larger than ${\cal O}(1)$. Especially in the limit $ω\to -5/3$, the non-Gaussianity is very large and negative. Furthermore, since the energy is proportional to the area, the thermal holographic non-Gaussianity depends linearly on $k$ if we neglect the variation in $T$ during the transition (fixed temperature).

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