Abstract
This is the first in a series of three papers in which we propose a method for the quantization of nonlinear fields on the classical background using Bogolyubov variables. The first paper outlines the main ideas and the subsequent papers describe the development of the quantization scheme, as is exemplified by nonstationary interacting fields—scalar and gravitational ones. This method allows one to accurately take into account conservation laws and avoid the problem of zero modes.
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Ostanina, M.V., Tomasi-Vshivtseva, P.A. Quantization of Nonlinear Fields Using Bogolyubov Variables. Phys. Part. Nuclei Lett. 18, 648–651 (2021). https://doi.org/10.1134/S1547477121060091
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DOI: https://doi.org/10.1134/S1547477121060091