Asymptotic freedom in Horava-Lifshitz gravity

Understand

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.