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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 187, Number 2, Pages 310–322
DOI: https://doi.org/10.4213/tmf9027 (Mi tmf9027) 		 
Quantum mechanical model in gravity theory

V. V. Losyakovab

a Lebedev Physical Institute, RAS, Moscow, Russia
b National Research University Higher School of Economics, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf9027
Abstract: We consider a model of a real massive scalar field defined as homogeneous on a $d$-dimensional sphere such that the sphere radius, time scale, and scalar field are related by the equations of the general theory of relativity. We quantize this system with three degrees of freedom, define the observables, and find dynamical mean values of observables in the regime where the scalar field mass is much less than the Planck mass.
Keywords: general relativity, quantization of gravity, quantum mechanics, quantization of gauge theories.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-90405
This research is supported by the Russian Foundation for Basic Research (Grant No. 14-01-90405).
Received: 18.08.2015
English version:
Theoretical and Mathematical Physics, 2016, Volume 187, Issue 2, Pages 718–729
DOI: https://doi.org/10.1134/S0040577916050081
Bibliographic databases:
Language: Russian
Citation: V. V. Losyakov, “Quantum mechanical model in gravity theory”, TMF, 187:2 (2016), 310–322; Theoret. and Math. Phys., 187:2 (2016), 718–729
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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