Conformal invariance and renormalization group in quantum gravity near two dimensions.

DOI10.1016/0550-3213(94)90273-9zbMATH Open1049.81618arXivhep-th/9404171OpenAlexW3101120374MaRDI QIDQ1967530

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Publication date: 6 March 2000

Published in: (Search for Journal in Brave)

Abstract: We study quantum gravity in $2+epsilon$ dimensions in such a way to preserve the volume preserving diffeomorphism invariance. In such a formulation, we prove the following trinity: the general covariance, the conformal invariance and the renormalization group flow to Einstein theory at long distance. We emphasize that the consistent and macroscopic universes like our own can only exist for matter central charge $0<c<25$. We show that the spacetime singularity at the big bang is resolved by the renormalization effect and universes are found to bounce back from the big crunch. Our formulation may be viewed as a Ginzburg-Landau theory which can describe both the broken and the unbroken phase of quantum gravity and the phase transition between them.

Full work available at URL: https://arxiv.org/abs/hep-th/9404171

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