Work

Hyperlogarithms in the theory of turbulence of infinite dimension

Year: 2024

Type: article

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: ( − i ω + ν k 2 ) − 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.

Source: Nuclear Physics B

DOI: 10.1016/j.nuclphysb.2024.116716

Authors: Loran Ts. Adzhemyan, Daniil A. Evdokimov, Mikhail V. Kompaniets

Institutions: St Petersburg University, Joint Institute for Nuclear Research

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Ministry of Education and Science of the Russian Federation, Ministry of Science and Higher Education of the Russian Federation

Awards: G2258008615, G285319786, G597338630, G6444257319