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Modified gravity from the nonperturbative quantization of a metric.
Vladimir Dzhunushaliev1, Vladimir Folomeev2, Burkhard Kleihaus3
1Department 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.
Quantum corrections to the metric, based on specific assumptions, lead to modified gravity theories. This research explores the impact of quantum fluctuations on gravitational and scalar fields.
Area of Science:
- Theoretical physics
- Quantum gravity
- Cosmology
Background:
- Understanding quantum effects on spacetime is crucial for a complete theory of gravity.
- Previous models often simplified quantum fluctuations of the metric.
Purpose of the Study:
- To investigate the implications of quantum fluctuating metrics on gravitational and scalar field Lagrangians.
- To explore the emergence of modified gravity from quantum corrections.
Main Methods:
- Evaluation of gravitational and scalar field Lagrangians.
- Assumption of a vanishing expectation value for first-order metric terms.
- Second-order accuracy calculations for quantum corrections.
Main Results:
- Quantum corrections were successfully evaluated under the stated assumptions.
- The study demonstrates that quantum fluctuations of the metric induce modifications to gravity.
Conclusions:
- Quantum fluctuations of the metric are a potential source of modified gravity.
- The findings necessitate further investigation into quantum gravity effects on spacetime structure.
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