Conformal Invariance and Renormalization Group in Quantum Gravity Near Two Dimensions

Details Conformal Invariance and Renormalization Group in Quantum Gravity Near Two Dimensions Conformal Invariance and Renormalization Group in Quantum Gravity Near Two Dimensions

1994-04-28

arxiv.org/abs/hep-th/9404171v1

Nucl.Phys.B427:158-180,1994

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, TIT-HEP-256, KEK-TH-395, YITP/U-94-13

Scientific paper

10.1016/0550-3213(94)90273-9

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

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