Effective models of quantum gravity induced by Planck scale modifications in the covariant quantum algebra

TL;DR

This paper develops higher derivative gravity models from a modified covariant quantum algebra, revealing their equivalence to known renormalizable theories and discussing implications for minimal length physics and potential energy.

Contribution

It introduces a new class of higher derivative gravity models derived from a deformed covariant quantum algebra, linking quantum algebra modifications to gravity theories.

Findings

Models are equivalent to renormalizable higher derivative gravities.

Presence of complex ghosts in the particle spectrum.

Potential energy analysis suggests implications for minimal length theories.

Abstract

In this paper we introduce a modified covariant quantum algebra based in the so-called Quesne-Tkachuk algebra. By means of a deformation procedure we arrive at a class of higher derivative models of gravity. The study of the particle spectra of these models reveals an equivalence with the physical content of the well-known renormalizable and super-renormalizable higher derivative gravities. The particle spectrum exhibits the presence of spurious complex ghosts and, in light of this problem, we suggest an interesting interpretation in the context of minimal length theories. Also, a discussion regarding the non-relativistic potential energy is proposed.