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arXiv 0907.3868hep-th
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暴胀宇宙学中的张量鬼

Tensor ghosts in the inflationary cosmology

Tim Clunan, Misao Sasaki

备注：
16 pages, no figures
发表信息：
Class.Quant.Grav.27:165014,2010
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摘要：

在作用量中有曲率平方项的理论一般都含有鬼模。然而，如果我们把曲率平方项看作是对原始理论的量子修正，鬼的出现可能仅仅是由于完全非微扰理论的微扰截断。如果是这样的话，应该有办法和鬼一起生活。在本文中，我们采取欧几里德路径积分的方法，其中鬼自由度可以是，并在欧几里德化的时空积分。我们将这个过程应用到爱因斯坦引力与外尔曲率平方修正的暴胀背景下。我们发现张量扰动的振幅被O（α ^2 H^2）项修正，其中α ^2是外尔平方项前的一个耦合常数，H是暴胀过程中的哈勃参数.

英文摘要：

Theories with curvature squared terms in the action are known to contain ghost modes in general. However, if we regard curvature squared terms as quantum corrections to the original theory, the emergence of ghosts may be simply due to the perturbative truncation of a full non-perturbative theory. If this is the case, there should be a way to live with ghosts. In this paper, we take the Euclidean path integral approach, in which ghost degrees of freedom can be, and are integrated out in the Euclideanized spacetime. We apply this procedure to Einstein gravity with a Weyl curvature squared correction in the inflationary background. We find that the amplitude of tensor perturbations is modified by a term of O(alpha^2 H^2) where alpha^2 is a coupling constant in front of the Weyl squared term and H is the Hubble parameter during inflation.

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