Renormalizability of quantum gravity near two dimensions

DOI10.1016/0550-3213(96)00119-8zbMath1002.81519arXivhep-th/9511217OpenAlexW2092824337MaRDI QIDQ1911385

Masao Ninomiya, Yoshihisa Kitazawa, Hikaru Kawai

Publication date: 24 April 1996

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9511217

zbMATH Keywords

volume preserving diffeomorphismwave function renormalizationEinstein action formnear two dimensionsWard Takahashi identities

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantization of the gravitational field (83C45)

Related Items (11)

The unitary conformal field theory behind 2D asymptotic safety ⋮ Renormalization of quantum gravity coupled with matter in three dimensions ⋮ Infinite order quantum-gravitational correlations ⋮ Renormalization of 3d quantum gravity from matrix models ⋮ Asymptotic safety and quantum gravity amplitudes ⋮ Two-loop prediction for scaling exponents in \((2 +\epsilon)\)-dimensional quantum gravity ⋮ Metric dimensional reduction at singularities with implications to quantum gravity ⋮ The semiclassical limit of causal dynamical triangulations ⋮ Euclidian 4d quantum gravity with a non-trivial measure term ⋮ Cosmological \(\alpha '\)-corrections from the functional renormalization group ⋮ BRST Cohomology and Renormalizability of Quantum Gravity Near Two Dimensions

Cites Work

• Scaling exponents in quantum gravity near two dimensions
• Quantum gravity is renormalizable near two dimensions
• Ultraviolet stable fixed point and scaling relations in \((2+\epsilon)\)-dimensional quantum gravity
• Conformal invariance and renormalization group in quantum gravity near two dimensions.
• Gravitational dressing of the renormalization group

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