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ON VACUUM DENSITY, THE INITIAL SINGULARITY AND DARK ENERGY

机译:真空密度,初始奇异性和暗能量

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摘要

Standard cosmology poses a number of important questions. Apart from its singular origin, it possesses early and late accelerating phases required to account for observations. The vacuum energy has been considered as a possible way to resolve some of these questions. The vacuum energy density induced by free fields in an early de Sitter phase has earlier been estimated to be proportional to H4, while more recently it has been suggested that the QCD condensate induces a term proportional to H at late times. These results have been employed in models which are nonsingular and inflationary at early times and accelerating at late times. Here we cast these models in terms of scalar fields and study the corresponding spectrum of primordial perturbations. At early times the spectrum is found to be not scale-invariant, thus implying that slow roll inflation is still required after the phase transition induced by the vacuum. At late times the corresponding scalar field potential is harmonic, with a mass of the order of the Hubble scale — a result that may be understood in the light of the holographic conjecture.
机译:标准宇宙学提出了许多重要问题。除了其独特的起源外,它还具有解释观测所需的早期和晚期加速阶段。真空能量已被认为是解决其中一些问题的可能方法。由自由场在de Sitter早期感应的真空能量密度较早地估计与H4成正比,而最近,有人提出QCD冷凝物在后期感应出与H成正比的项。这些结果已用于早期非奇异且膨胀且后期加速的模型中。在这里,我们根据标量场对这些模型进行转换,并研究相应的原始扰动谱。在早期,发现光谱不是尺度不变的,因此暗示在由真空引起的相变之后仍然需要缓慢的辊膨胀。在较晚的时间,相应的标量场电势是谐波,质量约为哈勃尺度-从全息推测可以理解这一结果。

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