论文标题
状态全息密度对通货膨胀的影响
Implications of a holographic density of states on inflation
论文作者
论文摘要
有理学的证据表明，量子场中的自由度数量降低，因为人们在极短的距离上进行了研究。这来自对黑洞的熵的研究以及广告几何形状中的全息理论。据推测，量子重力理论将提供明确描述自由度的数量，因为一个人研究高能量尺度。 我们没有关于如何发生这种自由度变化的全面理论。在更大的长度尺度上可能会有残留（和可测量的）效应，尽管这可能仅在普朗克量表附近很重要。在大自然中，很少有人能够看到这种稀疏的影响。一个有希望的场所是通货膨胀现象，在最简单的模型中通过标量充气场在电势中产生，具有平坦的（“慢速”）部分以及潜在的井。我们计算了这种自由度稀疏的影响，即流动的量子波动的频谱指数，并推断出这将导致波形的正力（与通常的$ \ sim-ε$，即负功率校正相反）。然后，对这种波动的观察（或非观察）的影响\ cite {martin}发表了一些评论。
There is theoretical evidence that the number of degrees of freedom in quantum fields decreases as one studies them at extremely short distances. This emerges from the study of entropy of black holes, as well as from holographic theories in AdS geometries. Presumably a theory of quantum gravity will provide an explicit description of how the number of degrees of freedom thin out as one studies high energy scales. We do not have a comprehensive theory of how such a thinning of degrees of freedom would occur. It is likely that there might be residual (and measurable) effects at larger length scales, though this might be significant only near the Planck scale. There are very few instances in Nature where one might be able to see effects of this thinning. One promising venue is in the phenomenon of inflation, produced in the simplest models through a scalar inflaton field in a potential with a flat ("slow-roll") part as well as a potential well. We compute the effect of such a thinning of degrees of freedom upon the running of the spectral index of quantum fluctuations of the inflaton and deduce that this will lead to a positive power of wave-vector (opposite to the usual $\sim -ε$, i.e., negative power correction). Some comments are then made about the impact on observations (or non-observations) of such fluctuations \cite{Martin}.
