Renormalizability of Massive Gravity in Three Dimensions

Abstract

We discuss renormalizability of a recently established, massive gravity theory with particular higher derivative terms in three space-time dimensions. It is shown that this massive gravity is certainly renormalizable as well as unitary, so it gives us a physically interesting toy model of perturbative quantum gravity in three dimensions.

13 pages, no figures

References in corpus (17)

• Massive Gravity in Three Dimensions
• The Higgs Phenomenon in Quantum Gravity
• On Unitarity of Massive Gravity in Three Dimensions
• Note on New Massive Gravity in $Ad{S}_3$
• Bending AdS Waves with New Massive Gravity
• Higgs Phenomenon for 4-D Gravity in Anti de Sitter Space
• Consistent Boundary Conditions for New Massive Gravity in $Ad{S}_3$
• A Higgs Mechanism for Gravity
• On the Generalized Massive Gravity in $Ad{S}_3$
• Unitarity in the Brout-Englert-Higgs Mechanism for Gravity
• Gravitational Higgs Mechanism
• Massive Gravity with Mass Term in Three Dimensions
• Gravitational Higgs Mechanism with a Topological Term
• Gravitational Higgs Mechanism and Massive Gravity
• Classical Solutions of Ghost Condensation Models
• Massive Gravity in Curved Cosmological Backgrounds
• Possible Nonlinear Completion of Massive Gravity

Cited by in corpus (51)

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• More on Massive 3D Gravity
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• A Lifshitz Black Hole in Four Dimensional R^2 Gravity
• Massive Higher Derivative Gravity in D-dimensional Anti-de Sitter Spacetimes
• Black holes with a null Killing vector in three-dimensional massive gravity
• Stability Analysis and Area Spectrum of 3-Dimensional Lifshitz Black Holes
• Nonlinear Dynamics of 3D Massive Gravity
• Microscopic entropy of the three-dimensional rotating black hole of BHT massive gravity
• A Unified Approach to Variational Derivatives of Modified Gravitational Actions
• Hawking radiation and propagation of massive charged scalar field on a three-dimensional Gödel black hole
• A Complete Classification of Higher Derivative Gravity in 3D and Criticality in 4D
• Higher derivative couplings and massive supergravity in three dimensions
• Unitarity versus Renormalizability of Higher Derivative Gravity in 3D
• From accelerating and Poincaré coordinates to black holes in spacelike warped AdS${}_3$, and back
• Exact plane gravitational waves in the de Rham-Gabadadze-Tolley model of massive gravity
• Hamiltonian analysis of BHT massive gravity
• A Stueckelberg Approach to Quadratic Curvature Gravity and its Decoupling Limits
• Dirac Quasinormal Modes of New Type Black Holes in New Massive Gravity
• Remarks on Higgs Mechanism for Gravitons
• Lifshitz black holes in the Hořava-Lifshitz gravity
• Homogeneous vacua of (generalized) new massive gravity
• Chern-Simons Gravity with (Curvature)${}^2$- and (Torsion)${}^2$-Terms and A Basis of Degree-of-Freedom Projection Operators
• New Massive Gravity Domain Walls
• Gravitons in Flatland
• Extra gauge symmetries in BHT gravity
• Scalar field perturbations of a Lifshitz black hole in conformal gravity in three dimensions
• Massive 3D Gravity Big-Bounce
• Phase transitions in Bergshoeff-Hohm-Townsend Massive Gravity
• Thermodynamics of 2+1 dimensional Coulomb-Like Black Holes from Non Linear Electrodynamics with a traceless energy momentum tensor
• Black-hole dynamics in BHT massive gravity
• New class of spin projection operators for 3D models
• Motion and trajectories of photons in a three-dimensional rotating Hořava AdS black hole
• Particle collisions near a three-dimensional warped AdS black hole
• Quasinormal modes and thermodynamical aspects of the 3D Lifshitz black hole
• Thin-Shells and Thin-Shell Wormholes in New Massive Gravity
• Polarization modes of gravitational waves in three-dimensional massive gravities
• Corrected entropy of the rotating black hole solution of the new massive gravity using the tunneling method and Cardy formula
• Renormalizability of Topologically Massive Gravity
• Renormalizability in $D$-dimensional higher-order gravity
• Constraint structure of the three dimensional massive gravity
• Fermionic field perturbations of a three-dimensional Lifshitz black hole in conformal gravity
• Solutions of massive gravity theories in constant scalar invariant geometries
• Hamiltonian analysis of symmetries in a massive theory of gravity
• Decreasing entropy of dynamical black holes in critical gravity
• Faddeev-Jackiw Hamiltonian formulation for general exotic bi-gravity
• Symplectic realization of two interacting spin-two fields in three dimensions
• Effects of curvature and gravity from flat spacetime
• Entropy product of rotating black holes in three-dimensions