On the true nature of renormalizability in Horava-Lifshitz gravity

TL;DR

This paper clarifies that the renormalizability of Horava-Lifshitz gravity is due to higher order spatial derivatives rather than anisotropic scaling, and explores models with similar properties without Lifshitz scaling.

Contribution

It proposes that higher order spatial derivatives alone can ensure renormalizability, challenging the emphasis on Lifshitz scaling in Horava-Lifshitz gravity.

Findings

Higher order spatial derivatives are key to renormalizability.

Models without Lifshitz scaling can share renormalization properties.

Review of Lorentz symmetry restoration in such theories.

Abstract

We argue that the true nature of the renormalizability of Horava-Lifshitz gravity lies in the presence of higher order spatial derivatives and not in the anisotropic Lifshitz scaling of space and time. We discuss the possibility of constructing a higher order spatial derivatives model that has the same renormalization properties of Horava-Lifshitz gravity but that does not make use of the Lifshitz scaling. In addition, the state-of-the-art of the Lorentz symmetry restoration in Horava-Lifshitz-type theories of gravitation is reviewed.