On Asymptotic Darkness in Ho\v{r}ava-Lifshitz Gravity

TL;DR

This paper investigates the scattering behavior in Hořava-Lifshitz gravity, revealing a transition from classicalization at low energies to standard quantum behavior at high energies, with implications for the theory's effective interaction size and potential screening effects.

Contribution

It demonstrates how Hořava-Lifshitz gravity transitions from classicalized to quantum regimes, providing detailed analysis of the effective interaction size and potential screening.

Findings

Classicalization occurs at low energies with black hole formation.

At high energies, the theory behaves as a standard quantum field theory.

The classical potential remains finite everywhere, showing screening behavior.

Abstract

Ho\v{r}ava-Lifshitz gravity is shown to exhibit a peculiar behavior, when scattering amplitudes are considered. At low energies it seems to classicalize i.e. the effective size of the interaction grows as a function of the $s$-parameter, with BHs forming part of the spectrum; but when the probing energy is increased such that higher order operators become important, this behavior changes and the classicalon recedes to a new configuration where ordinary quantum regimes take over. Eventually, the theory behaves as a usual field theory that allows probing arbitrarily small distances. In particular, the classical potential created by a point-like source is finite everywhere exhibiting a Vainshtein alike screening behavior. The transition from one behavior to the other is carefully described in a particular case.