Modified gravity from the nonperturbative quantization of a metric

Vladimir Dzhunushaliev; Vladimir Folomeev; Burkhard Kleihaus; Jutta Kunz

doi:10.1140/epjc/s10052-015-3398-5

Modified gravity from the nonperturbative quantization of a metric

Eur Phys J C Part Fields. 2015;75(4):157. doi: 10.1140/epjc/s10052-015-3398-5. Epub 2015 Apr 21.

Authors

Vladimir Dzhunushaliev¹, Vladimir Folomeev², Burkhard Kleihaus³, Jutta Kunz³

Affiliations

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

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.