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Composite operators of stochastic model A. / Давлетбаева, Диана Азаматовна; Гнатич, Михал; Комарова, Марина Владимировна; Лучивянски, Томас; Мижишин, Лукаш; Налимов, Михаил Юрьевич.

In: Theoretical and Mathematical Physics, Vol. 216, No. 3, 01.09.2023, p. 1349 - 1359.

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

Harvard

Давлетбаева, ДА, Гнатич, М, Комарова, МВ, Лучивянски, Т, Мижишин, Л & Налимов, МЮ 2023, 'Composite operators of stochastic model A', Theoretical and Mathematical Physics, vol. 216, no. 3, pp. 1349 - 1359. https://doi.org/10.1134/S004057792309009X

APA

Давлетбаева, Д. А., Гнатич, М., Комарова, М. В., Лучивянски, Т., Мижишин, Л., & Налимов, М. Ю. (2023). Composite operators of stochastic model A. Theoretical and Mathematical Physics, 216(3), 1349 - 1359. https://doi.org/10.1134/S004057792309009X

Vancouver

Давлетбаева ДА, Гнатич М, Комарова МВ, Лучивянски Т, Мижишин Л, Налимов МЮ. Composite operators of stochastic model A. Theoretical and Mathematical Physics. 2023 Sep 1;216(3):1349 - 1359. https://doi.org/10.1134/S004057792309009X

Author

Давлетбаева, Диана Азаматовна ; Гнатич, Михал ; Комарова, Марина Владимировна ; Лучивянски, Томас ; Мижишин, Лукаш ; Налимов, Михаил Юрьевич. / Composite operators of stochastic model A. In: Theoretical and Mathematical Physics. 2023 ; Vol. 216, No. 3. pp. 1349 - 1359.

BibTeX

@article{869556698cd34952b21c22109a921329,
title = "Composite operators of stochastic model A",
abstract = "Abstract: By means of the field-theoretic renormalization group, we study the damping of the viscosity coefficient near the superfluid phase transition. We use the fact that in the infrared region, the complex model used to describe the phase transition belongs to the same universality class as the well-known stochastic model A. This allows us to determine the critical behavior of viscosity using composite operators for model A. Our analysis is based on the ε -expansion near the upper critical dimension dc=4 of model A. The critical exponent of viscosity is then calculated from the critical dimensions of composite operators of massless two-component model A. In particular, we present results for critical dimensions of a selected class of composite operators with the canonical dimension 8 to the leading order.",
keywords = "composite operators, critical dimension, critical point, phase transition, renormalization group, superfluidity, viscosity",
author = "Давлетбаева, {Диана Азаматовна} and Михал Гнатич and Комарова, {Марина Владимировна} and Томас Лучивянски and Лукаш Мижишин and Налимов, {Михаил Юрьевич}",
year = "2023",
month = sep,
day = "1",
doi = "10.1134/S004057792309009X",
language = "English",
volume = "216",
pages = "1349 -- 1359",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Composite operators of stochastic model A

AU - Давлетбаева, Диана Азаматовна

AU - Гнатич, Михал

AU - Комарова, Марина Владимировна

AU - Лучивянски, Томас

AU - Мижишин, Лукаш

AU - Налимов, Михаил Юрьевич

PY - 2023/9/1

Y1 - 2023/9/1

N2 - Abstract: By means of the field-theoretic renormalization group, we study the damping of the viscosity coefficient near the superfluid phase transition. We use the fact that in the infrared region, the complex model used to describe the phase transition belongs to the same universality class as the well-known stochastic model A. This allows us to determine the critical behavior of viscosity using composite operators for model A. Our analysis is based on the ε -expansion near the upper critical dimension dc=4 of model A. The critical exponent of viscosity is then calculated from the critical dimensions of composite operators of massless two-component model A. In particular, we present results for critical dimensions of a selected class of composite operators with the canonical dimension 8 to the leading order.

AB - Abstract: By means of the field-theoretic renormalization group, we study the damping of the viscosity coefficient near the superfluid phase transition. We use the fact that in the infrared region, the complex model used to describe the phase transition belongs to the same universality class as the well-known stochastic model A. This allows us to determine the critical behavior of viscosity using composite operators for model A. Our analysis is based on the ε -expansion near the upper critical dimension dc=4 of model A. The critical exponent of viscosity is then calculated from the critical dimensions of composite operators of massless two-component model A. In particular, we present results for critical dimensions of a selected class of composite operators with the canonical dimension 8 to the leading order.

KW - composite operators

KW - critical dimension

KW - critical point

KW - phase transition

KW - renormalization group

KW - superfluidity

KW - viscosity

UR - https://www.mendeley.com/catalogue/ae83264e-20a9-3761-b6c2-fd19573f591f/

U2 - 10.1134/S004057792309009X

DO - 10.1134/S004057792309009X

M3 - Article

VL - 216

SP - 1349

EP - 1359

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 3

ER -

ID: 114719023