Abstract
Results and method of a three-loop renormalization-group calculation in the model of a Bose gas with a local density-density interaction in the formalism of time-dependent Green functions at finite temperature are presented. The results provide support to the recent conjecture [J. Honkonen, M.V. Komarova, Y.G. Molotkov, and M.Y. Nalimov, Nucl. Phys. B 939, 105 (2019)0550-321310.1016/j.nuclphysb.2018.12.015; Y.A. Zhavoronkov, M.V. Komarova, Y.G. Molotkov, M.Y. Nalimov, and J. Honkonen, Theor. Math. Phys. 200, 1237 (2019)0040-577910.1134/S0040577919080142] that the dynamics of the superfluid phase transition is described by a model which belongs to the same universality class as the stochastic model A.
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