论文标题
宇宙相关功能的分析评估
Analytical evaluation of cosmological correlation functions
论文作者
论文摘要
在ARXIV中重新构成的Schwinger-Keldysh-Formalism：2108.01695作为Euclidean Anti-De Sitter中的有效现场理论，我们评估了在DE Sitter中的共同耦合相互作用标量场的单环宇宙学四点函数。将Witten宇宙学相关器重新铸造为平面空间Feynman积分，我们根据单价值多个小聚集体来评估DE Sitter空间中的单环宇宙学四点函数。我们从中得出了异常的尺寸和OPE系数，在类似于太空的未来无穷大的双重共形场理论中。特别是，我们发现在相邻旋转的算子的异常尺寸中有一个有趣的变性。
Using the Schwinger-Keldysh-formalism, reformulated in arXiv:2108.01695 as an effective field theory in Euclidean anti-de Sitter, we evaluate the one-loop cosmological four-point function of a conformally coupled interacting scalar field in de Sitter. Recasting the Witten cosmological correlator as flat space Feynman integrals, we evaluate the one-loop cosmological four-point functions in de Sitter space in terms of single-valued multiple polylogarithms. From it we derive anomalous dimensions and OPE coefficients of the dual conformal field theory at space-like, future infinity. In particular, we find an interesting degeneracy in the anomalous dimensions relating operators of neighboring spins.
