Space-time Evolution and CMB Anisotropies from Quantum Gravity

Abstract

We propose an evolutional scenario of the universe which starts from quantum states with conformal invariance, passing through the inflationary era, and then makes transition to the conventional Einstein space-time. The space-time dynamics is derived from the renormalizable higher-derivative quantum gravity developed on the basis of a renormalizable conformal gravity in four dimensions. Based on the linear perturbation theory in the inflationary background, we simulate evolutions of gravitational scalar, vector and tensor perturbations, and evaluate the spectra at the transition point located at the beginning of the big bang. The obtained spectra cover the range of the primordial spectra for explaining the tiny anisotropy in the homogeneous CMB.

30 pages, 6 figures. Version to appear in Phys. Rev. D

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• Renormalizable 4D Quantum Gravity as A Perturbed Theory from CFT
• BRST Analysis of Physical Fields and States for 4D Quantum Gravity on R x S^3
• Two-Loop Quantum Gravity Corrections to Cosmological Constant in Landau Gauge
• BRST Invariant Higher Derivative Operators in 4D Quantum Gravity based on CFT
• RG Analysis for Quantum Gravity with A Single Dimensionless Coupling
• Diffeomorphism Invariance Demands Conformal Anomalies
• Localized massive excitation of quantum gravity as a dark particle
• Physical Cosmological Constant in Asymptotically Background Free Quantum Gravity
• Conformal Field Theory on R x S^3 from Quantized Gravity
• Vertex Operators in 4D Quantum Gravity Formulated as CFT
• Making a Universe
• Quantum Gravity Effective Action Provides Entropy of The Universe