Power-counting renormalizability of generalized Horava gravity

TL;DR

This paper demonstrates that a generalized version of Horava gravity in (d+1) dimensions is power-counting renormalizable, supporting its potential as a quantum gravity theory with broken Lorentz symmetry.

Contribution

It provides a detailed technical argument confirming the power-counting renormalizability of a z>=d variant of Horava gravity.

Findings

Establishes power-counting renormalizability of the model.

Clarifies technical aspects of the renormalizability proof.

Supports Horava gravity as a viable quantum gravity candidate.

Abstract

In an earlier article [arXiv:0902.0590 [hep-th], Phys. Rev D80 (2009) 025011], I discussed the potential benefits of allowing Lorentz symmetry breaking in quantum field theories. In particular I discussed the perturbative power-counting finiteness of the normal-ordered :P(phi)^{z>=d}_{d+1}: scalar quantum field theories, and sketched the implications for Horava's model of quantum gravity. In the current rather brief addendum, I will tidy up some dangling issues and fill out some of the technical details of the argument indicating the power-counting renormalizability of a z>=d variant of Horava gravity in (d+1) dimensions.