title: Modified gravity from the nonperturbative quantization of a metric.
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.
authors.affiliation: 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.
authors.forename: Vladimir
authors.initials: V
authors.lastname: Dzhunushaliev
authors.affiliation: 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.
authors.forename: Vladimir
authors.initials: V
authors.lastname: Folomeev
authors.affiliation: Institut für Physik, Universität Oldenburg, Postfach 2503, 26111 Oldenburg, Germany.
authors.forename: Burkhard
authors.initials: B
authors.lastname: Kleihaus
authors.affiliation: Institut für Physik, Universität Oldenburg, Postfach 2503, 26111 Oldenburg, Germany.
authors.forename: Jutta
authors.initials: J
authors.lastname: Kunz