Renormalizable and Unitary Model of Quantum Gravity

Symmetry

S.A. Larin¹ 

[1] Institute for Nuclear Research of the Russian Academy of Sciences, Theory Division, 60th October Anniversary Prospect, 7-A, 117312 Moscow, Russia;

关键词: modified theories of gravity;    quantum gravity;    renormalizability;    unitarity;   

DOI  :  10.3390/sym11111334

来源: DOAJ

【 摘 要 】

We consider $R+R^2$ relativistic quantum gravity with the action where all possible terms quadratic in the curvature tensor are added to the Einstein-Hilbert term. This model was shown to be renormalizable in the work by K.S. Stelle. In this paper, we demonstrate that the $R+R^2$ model is also unitary contrary to the statements made in the literature, in particular in the work by Stelle. New expressions for the $R+R^2$ Lagrangian within dimensional regularization and the graviton propagator are derived. We demonstrate that the $R+R^2$ model is a good candidate for the fundamental quantum theory of gravity.

【 授权许可】

Unknown