Geodesic
Kinetic theory of boson gas
Teoretičeskaâ i matematičeskaâ fizika, Tome 200 (2019) no. 3, pp. 507-521

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We construct a quantum kinetic theory of a weakly interacting critical boson gas using the expectation values of products of Heisenberg field operators in the grand canonical ensemble. Using a functional representation for the Wick theorem for time-ordered products, we construct a perturbation theory for the generating functional of these time-dependent Green's functions at a finite temperature. We note some problems of the functional-integral representation and discuss unusual apparent divergences of the perturbation expansion. We propose a regularization of these divergences using attenuating propagators. Using a linear transformation to variables with well-defined scaling dimensions, we construct an infrared effective field theory. We show that the structure of the regularized model is restored by renormalization. We propose a multiplicatively renormalizable infrared effective model of the quantum dynamics of a boson gas.
Keywords: finite-temperature time Green's function, infrared effective model, critical dynamics
Mots-clés : boson gas, superfluid phase transition. 
@article{TMF_2019_200_3_a8,
     author = {J. Honkonen and M. V. Komarova and Yu. G. Molotkov and M. Yu. Nalimov},
     title = {Kinetic theory of boson gas},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {507--521},
     publisher = {mathdoc},
     volume = {200},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_200_3_a8/}
}
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J. Honkonen; M. V. Komarova; Yu. G. Molotkov; M. Yu. Nalimov. Kinetic theory of boson gas. Teoretičeskaâ i matematičeskaâ fizika, Tome 200 (2019) no. 3, pp. 507-521. http://geodesic.mathdoc.fr/item/TMF_2019_200_3_a8/