Abstract
We analyze the R+R2 model of quantum gravity where terms quadratic in the curvature tensor are added to the General Relativity action. This model was recently proved to be a self-consistent quantum theory of gravitation, being both renormalizable and unitary. The model can be made practically indistinguishable from General Relativity at astrophysical and cosmological scales by the proper choice of parameters.
Highlights
The creation of quantum gravity still remains a prominent task in modern physics
In the work [1], it was shown by direct calculations that at the one loop level General Relativity is renormalizable without matter fields but becomes unrenormalizable after inclusion of matter fields
We discuss in detail the exact form of the Lagrangian of quadratic gravity, the questions of unitarity, stability of the vacuum state and the behavior of the model at astrophysical and cosmological scales
Summary
The creation of quantum gravity still remains a prominent task in modern physics. The problem is due to well known perturbative non-renormalizability of Einstein General Relativity. For general gauges an assumption was made that ultraviolet divergences have the so-called cohomological structure. This hypothesis was proved for a class of background gauges in the work [6]. In the works [5,7] it was stated that quadratic gravity is not physical because it violates unitarity or causality. This model was commonly considered to be unphysical. We discuss in detail the exact form of the Lagrangian of quadratic gravity, the questions of unitarity, stability of the vacuum state and the behavior of the model at astrophysical and cosmological scales
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
