Asymptotic freedom in Horava-Lifshitz gravity

Abstract

We use the Wetterich equation for foliated spacetimes to study the RG flow of projectable Horava-Lifshitz gravity coupled to n Lifshitz scalars. Using novel results for anisotropic heat kernels, the matter-induced beta functions for the gravitational couplings are computed explicitly. The RG flow exhibits an UV attractive anisotropic Gaussian fixed point where Newton's constant vanishes and the extra scalar mode decouples. This fixed point ensures that the theory is asymptotically free in the large-n expansion, indicating that projectable Horava-Lifshitz gravity is perturbatively renormalizable. Notably, the fundamental fixed point action does not obey detailed balance.

4 pages, 2 figures

References in corpus (11)

• The Confrontation between General Relativity and Experiment
• Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Horava-Lifshitz Cosmology: A Review
• Renormalization of Lorentz violating theories
• Renormalization group in Lifshitz-type theories
• On the Renormalizability of Horava-Lifshitz-type Gravities
• The Universal RG Machine
• General Covariance in Gravity at a Lifshitz Point
• Renormalization Group Flow in CDT
• Improved Schwinger-DeWitt techniques for higher-derivative perturbations of operator determinants

Cited by in corpus (9)

• Horava gravity with mixed derivative terms
• Spin-base invariance of Fermions in arbitrary dimensions
• Cancellation of divergences in the nonprojectable Horava theory
• Completing Lorentz violating massive gravity at high energies
• Isotropic Lifshitz critical behavior from the functional renormalization group
• On power-counting renormalizability of Hořava gravity with detailed balance
• Quark stars with isotropic matter in Hořava gravity and Einstein-æther theory
• BFV quantization of the nonprojectable 2+1 Horava theory
• Quantum Lagrangian of the Horava theory and its nonlocalities