Hořava's quantum gravity at a Lifshitz point is a theory intended to quantize gravity by using
traditional quantum field theories. To avoid Ostrogradsky's ghosts, a problem that has been …

This book covers recent developments in the covariant formulation of quantum gravity.
Developed in the 1960s by Feynman and DeWitt, by the 1980s this approach seemed to …

We prove perturbative renormalizability of projectable Hořava gravity. The key element of
the argument is the choice of a gauge which ensures the correct anisotropic scaling of the …

We perform an analysis of the ultraviolet divergences of the quantum nonprojectable Hořava
gravity. We work the quantum-field theory directly in the Hamiltonian formalism provided by …

Asymptotically Safe theories of gravity have recently received much attention. In this work we
discuss a class of inflationary models derived from quantum-gravity modification of quadratic …

We compute the renormalization group running of the Newton constant and the parameter λ
in (3+ 1)-dimensional projectable Hořava gravity. We use the background-field method …

We compute the β functions of marginal couplings in projectable Hořava gravity in 2+ 1
spacetime dimensions. We show that the renormalization group flow has an asymptotically …

We use the non-Gaussian fixed points (NGFPs) appearing in the renormalization group flow
of gravity and gravity–matter systems to construct models of NGFP-driven inflation via a …

For any fundamental quantum field theory, unitarity, renormalizability, and relativistic
invariance are considered to be essential properties. Unitarity is inevitably connected to the …

We use the Wetterich equation for foliated spacetimes to study the renormalization group
flow of projectable Hořava-Lifshitz gravity coupled to n Lifshitz scalars. Using novel results …