此論文於內蘊時間重力架構下探討重力陳-西蒙斯態。內蘊時間重力引入在早期宇宙主導哈密頓量的Cotton-York項，因此陳-西蒙斯泛函的指數成為了宇宙初始態與量子起源的優良候選者。而態的泛數正好是具有陳-西蒙斯作用量的配分函數，並且算符對態的期望值即為多點相關函數。常用於研究微擾的功率譜本質上為漲落的兩點相關函數。在此論文中，陳-西蒙斯態內橫向無跡度規漲落的兩點和三點相關函數都已被計算。我們證明了具有尺度不變性的兩點函數是此理論在Cotton-York主導時代的特性，並且在文中也與同樣具有尺度不變功率譜慢滾暴脹理論進行比較。

This work investigates the gravitational Chern-Simons state in Intrinsic Time Gravity.
The framework allows the introduction of a Cotton-York term which dominates the Hamiltonian in the early universe. Consequently the exponential of the Chern-Simons functional becomes a preeminent candidate for the initial state and quantum origin of the universe. The norm of the state is just the partition function with Chern-Simons action; and expectation values of operators with respect to this state become multi-point correlation functions which can be explicitly evaluated.
The power spectrum is essentially the Fourier transform of the two-point correlation function of the fluctuations which is used to study the perturbations. Both two- and three-point correlation functions of transverse-traceless metric fluctuations in the Chern-Simons state are explicitly computed. We demonstrate that to good approximation scale-invariant two-point function is one of the defining signatures of the theory in the Cotton-York dominated era; and we compare with the simple scalar field inflationary scenario which also has approximately scale-invariant power spectrum in the slow-roll stage.

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