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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
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.
Received: 18.08.2015
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
Linking options:
https://www.mathnet.ru/eng/tmf9027https://doi.org/10.4213/tmf9027 https://www.mathnet.ru/eng/tmf/v187/i2/p310
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Abstract page: | 537 | Full-text PDF : | 194 | References: | 92 | First page: | 47 |
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