Quantization of Horava Gravity in 2+1 Dimensions

Abstract

We study quantum corrections to projectable Horava gravity with $z=2$ scaling in 2+1 dimensions. Using the background field method, we utilize a non-singular gauge to compute the anomalous dimension of the cosmological constant at one loop, in a normalization adapted to the spatial curvature term.

39 pages. v2: minor clarifications, fixed typos, a reference added

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• Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Models of non-relativistic quantum gravity: the good, the bad and the healthy
• Strong coupling in Horava gravity
• On the Renormalizability of Horava-Lifshitz-type Gravities
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Cited by in corpus (20)

• Hořava gravity is asymptotically free (in 2+1 dimensions)
• Towards the renormalization group flow of Horava gravity in $(3+1)$ dimensions
• Beta functions of (3+1)-dimensional projectable Horava gravity
• Heat kernel methods for Lifshitz theories
• Cancellation of divergences in the nonprojectable Horava theory
• Quantization of the nonprojectable 2+1D Horava theory: The second-class constraints
• Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
• BFV quantization of the nonprojectable 2+1 Horava theory
• Special Relativity from Soft Gravitons
• Symmetries from Locality. II. Gravitation and Lorentz Boosts
• Time Orientability and Particle Production from Universal Horizons
• Quantum Lagrangian of the Horava theory and its nonlocalities
• New Heat Kernel Method in Lifshitz Theories
• Effective action of the Horava theory: Cancellation of divergences
• Renormalization of Supersymmetric Lifshitz Sigma Models
• Well-posed evolution of field theories with anisotropic scaling: the Lifshitz scalar field in a black hole space-time
• Symmetries from Locality. III. Massless Spin 2 Gravitons and Time Translations
• Strings in Bimetric Spacetimes
• Asymptotic flatness and nonflat solutions in the critical 2+1 Horava theory
• Nonrelativistic Yang-Mills Theory for a Naturally Light Higgs Boson