Hyperlogarithms in the theory of turbulence of infinite dimension

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Hyperlogarithms in the theory of turbulence of infinite dimension. / Adzhemyan, L.T.; Evdokimov, D.A.; Kompaniets, M.V.

In: Nuclear Physics B, Vol. 1008, 116716, 01.11.2024.

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

BibTeX

@article{005a2dae99414324814b389018384d02,

title = "Hyperlogarithms in the theory of turbulence of infinite dimension",

abstract = "Parametric integration with hyperlogarithms so far has been successfully used in problems of high energy physics (HEP) and critical statics. In this work, for the first time, it is applied to a problem of critical dynamics, namely, a stochastic model of developed turbulence in high-dimensional spaces, which has a propagator that is non-standard with respect to the HEP: (−iω+νk2)−1. Adaptation of the hyperlogarithm method is carried out by choosing a proper renormalization scheme and considering an effective dimension of the space. Analytical calculation of the renormalization group functions is performed up to the fourth order of the perturbation theory, ε-expansion of the critical exponent ω responsible for the infrared stability of the fixed point is obtained. {\textcopyright} 2024 The Author(s)",

author = "L.T. Adzhemyan and D.A. Evdokimov and M.V. Kompaniets",

note = "Export Date: 27 October 2024 CODEN: NUPBB Сведения о финансировании: Ministry of Education and Science of the Russian Federation, Minobrnauka, 075-15-2022-287 Текст о финансировании 1: This work was performed at the Saint Petersburg Leonhard Euler International Mathematical Institute and supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-15-2022-287).",

year = "2024",

month = nov,

day = "1",

doi = "10.1016/j.nuclphysb.2024.116716",

language = "Английский",

volume = "1008",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Hyperlogarithms in the theory of turbulence of infinite dimension

AU - Adzhemyan, L.T.

AU - Evdokimov, D.A.

AU - Kompaniets, M.V.

N1 - Export Date: 27 October 2024 CODEN: NUPBB Сведения о финансировании: Ministry of Education and Science of the Russian Federation, Minobrnauka, 075-15-2022-287 Текст о финансировании 1: This work was performed at the Saint Petersburg Leonhard Euler International Mathematical Institute and supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-15-2022-287).

PY - 2024/11/1

Y1 - 2024/11/1

N2 - Parametric integration with hyperlogarithms so far has been successfully used in problems of high energy physics (HEP) and critical statics. In this work, for the first time, it is applied to a problem of critical dynamics, namely, a stochastic model of developed turbulence in high-dimensional spaces, which has a propagator that is non-standard with respect to the HEP: (−iω+νk2)−1. Adaptation of the hyperlogarithm method is carried out by choosing a proper renormalization scheme and considering an effective dimension of the space. Analytical calculation of the renormalization group functions is performed up to the fourth order of the perturbation theory, ε-expansion of the critical exponent ω responsible for the infrared stability of the fixed point is obtained. © 2024 The Author(s)

AB - Parametric integration with hyperlogarithms so far has been successfully used in problems of high energy physics (HEP) and critical statics. In this work, for the first time, it is applied to a problem of critical dynamics, namely, a stochastic model of developed turbulence in high-dimensional spaces, which has a propagator that is non-standard with respect to the HEP: (−iω+νk2)−1. Adaptation of the hyperlogarithm method is carried out by choosing a proper renormalization scheme and considering an effective dimension of the space. Analytical calculation of the renormalization group functions is performed up to the fourth order of the perturbation theory, ε-expansion of the critical exponent ω responsible for the infrared stability of the fixed point is obtained. © 2024 The Author(s)

UR - https://www.mendeley.com/catalogue/c94609f3-708d-31ea-8ee1-8e1ccf577008/

U2 - 10.1016/j.nuclphysb.2024.116716

DO - 10.1016/j.nuclphysb.2024.116716

M3 - статья

VL - 1008

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

M1 - 116716

ER -

ID: 126460822