Quantum Gravity in Plebanski Formulation

Details Quantum Gravity in Plebanski Formulation Quantum Gravity in Plebanski Formulation

2011-07-29

arxiv.org/abs/1107.5927v2

Mod. Phys. Lett. A, Vol. 26, No. 31 (2011) 2323-2333

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

"Dedicated to Holger Bech Nielsen on his 70th birthday."

Scientific paper

10.1142/S0217732311036814

We present a theory of four-dimensional quantum gravity with massive gravitons which may be essentially renormalizable. In the Plebanski formulation of General Relativity (GR), in which the tetrads, the connection and the curvature are all independent variables (and the usual relations among these quantities are valid only on-shell), we consider a nonperturbative theory of gravity with a nonzero background connection. We predict a tiny value of the graviton mass: m_g\approx 1.8\times 10^{-42} GeV and an extremely small dimensionless coupling constant of the perturbative gravitational interaction: g ~ 10^{-61}. We put forward the idea by H. Isimori on renormalizability of quantum gravity having multi-gravitons with masses m_0, m_1,..., m_{N-1}.

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