Eur. Phys. J. C (2015) 75: 157
https://doi.org/10.1140/epjc/s10052-015-3398-5

Regular Article - Theoretical Physics

Modified gravity from the nonperturbative quantization of a metric

¹ Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
² IETP, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
³ Institute of Physicotechnical Problems and Material Science of the NAS of the Kyrgyz Republic, 265 a, Chui Street, Bishkek, 720071, Kyrgyz Republic
⁴ Institut für Physik, Universität Oldenburg, Postfach 2503, 26111, Oldenburg, Germany
⁵ Institute for Basic Research, Eurasian National University, Astana, 010008, Kazakhstan

^* e-mail: v.dzhunushaliev@gmail.com

Received: 15 January 2015
Accepted: 8 April 2015
Published online: 21 April 2015

Abstract

Based on certain assumptions for the expectation value of a product of the quantum fluctuating metric at two points, the gravitational and scalar field Lagrangians are evaluated. Assuming a vanishing expectation value of the first-order terms of the metric, the calculations are performed with an accuracy of second order. It is shown that such quantum corrections give rise to modified gravity.