Modified gravity from the nonperturbative quantization of a metric Vladimir Dzhunushaliev, Vladimir Folomeev, Burkhard Kleihaus and Jutta Kunz Eur. Phys. J. C, 75 4 (2015) 157 Published online: 21 April 2015 DOI: 10.1140/epjc/s10052-015-3398-5