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Kinetic Theory of Boson Gas. / Honkonen, J.; Komarova, M. V.; Molotkov, Yu G.; Nalimov, M. Yu.

In: Theoretical and Mathematical Physics(Russian Federation), Vol. 200, No. 3, 01.09.2019, p. 1360-1373.

Research output: Contribution to journal › Article › peer-review

Harvard

Honkonen, J, Komarova, MV , Molotkov, YG & Nalimov, MY 2019, 'Kinetic Theory of Boson Gas', Theoretical and Mathematical Physics(Russian Federation), vol. 200, no. 3, pp. 1360-1373. https://doi.org/10.1134/S0040577919090095

APA

Honkonen, J., Komarova, M. V., Molotkov, Y. G., & Nalimov, M. Y. (2019). Kinetic Theory of Boson Gas. Theoretical and Mathematical Physics(Russian Federation), 200(3), 1360-1373. https://doi.org/10.1134/S0040577919090095

Vancouver

Honkonen J, Komarova MV , Molotkov YG , Nalimov MY. Kinetic Theory of Boson Gas. Theoretical and Mathematical Physics(Russian Federation). 2019 Sep 1;200(3):1360-1373. https://doi.org/10.1134/S0040577919090095

Author

Honkonen, J. ; Komarova, M. V. ; Molotkov, Yu G. ; Nalimov, M. Yu. / Kinetic Theory of Boson Gas. In: Theoretical and Mathematical Physics(Russian Federation). 2019 ; Vol. 200, No. 3. pp. 1360-1373.

BibTeX

@article{84eaa05d84d1460b9d8b6f6c13a60834,

title = "Kinetic Theory of Boson Gas",

abstract = "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{\textquoteright}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 = "boson gas, critical dynamics, finite-temperature time Green{\textquoteright}s function, infrared effective model, superfluid phase transition",

author = "J. Honkonen and Komarova, {M. V.} and Molotkov, {Yu G.} and Nalimov, {M. Yu}",

year = "2019",

month = sep,

day = "1",

doi = "10.1134/S0040577919090095",

language = "English",

volume = "200",

pages = "1360--1373",

journal = "Theoretical and Mathematical Physics (Russian Federation)",

issn = "0040-5779",

publisher = "Springer Nature",

number = "3",

}

RIS

TY - JOUR

T1 - Kinetic Theory of Boson Gas

AU - Honkonen, J.

AU - Komarova, M. V.

AU - Molotkov, Yu G.

AU - Nalimov, M. Yu

PY - 2019/9/1

Y1 - 2019/9/1

N2 - 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.

AB - 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.

KW - boson gas

KW - critical dynamics

KW - finite-temperature time Green’s function

KW - infrared effective model

KW - superfluid phase transition

UR - http://www.scopus.com/inward/record.url?scp=85073219398&partnerID=8YFLogxK

U2 - 10.1134/S0040577919090095

DO - 10.1134/S0040577919090095

M3 - Article

AN - SCOPUS:85073219398

VL - 200

SP - 1360

EP - 1373

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 3

ER -

ID: 76334622