论文标题
$α-$ vacua在De-sitter空间中对宇宙相关功能的CFT解释
A CFT interpretation of cosmological correlation functions in $α-$vacua in de-Sitter space
论文作者
论文摘要
De-sitter（DS）空间允许使用某些参数描述的一般性真空吸尘器，称为$α-$ vacua。 Bunch-Davies（BD）真空吸尘器是此参数空间中的一个点。宇宙学相关函数主要在BD真空中以四个维度讨论，并且可以解释为某些操作员的$ CFT_3 $相关函数。但是，$α-$真空中的相关函数的形式要复杂得多。在本文中，我们在BD真空的相关功能方面提供了简单的处方，以$α-$ vacua的计算相关函数。我们还表明，如果我们放宽与OPE限制的一致性的要求，则$α-$真空中的相关函数可能与三维CFT相关函数有关。在动量空间中，可以自然实现与OPE极限一致性的放松。
de-Sitter(dS) space allows for a generalized class of vacua, known as $α-$vacua, described by some parameters. The Bunch-Davies (BD) vacua is a point in this parameter space. The cosmological correlation function is mostly discussed in BD vacuum in four dimensions and can be interpreted as $CFT_3$ correlation function of certain operators. However, the correlation function in $α-$vacua takes a much more complicated form. In this paper, we give a simple prescription to compute correlation function in $α-$vacua in terms of correlation function of BD vacuum. We also show that the correlation function in the $α-$vacua can be related to three-dimensional CFT correlation functions if we relax the requirement of consistency with OPE limit. Relaxation of consistency with OPE limit can be naturally achieved in momentum space.
