Renormalization of the nonprojectable Horava theory

TL;DR

This paper proves the renormalization of the nonprojectable Horava theory, demonstrating a manifest BRST-symmetry and local divergences, using the background-field formalism to achieve renormalization.

Contribution

It provides the first proof of renormalization for the nonprojectable Horava theory with a manifest BRST-symmetry structure.

Findings

Divergences from irregular loops cancel completely.

Remaining divergences are local.

Renormalization is achieved using the background-field formalism.

Abstract

We present the proof of renormalization of the Horava theory, in the nonprojectable version. We obtain a form of the quantum action that exhibits a manifest BRST-symmetry structure. Previous analysis has shown that the divergences produced by irregular loops cancel completely between them. The remaining divergences are local. The renormalization is achieved by using the approach developed by Barvinsky et al. with the background-field formalism.