Method of hyperlogarithms: non-trivial application to theory of turbulence

Seminars

Bogoliubov Laboratory of Theoretical Physics

Seminar “Quantum field theory”

Date and Time: Thursday, 10 October 2024, at 4:00 PM

Venue: Blokhintsev Lecture Hall, Bogoliubov Laboratory of Theoretical Physics, online on Zoom

Seminar topic: “Method of hyperlogarithms: a non-trivial application to the theory of turbulence”

Speaker: Daniil Evdokimov (Saint Petersburg State University)

Abstract:

Parametric integration with hyperlogarithms is a promising method for multiloop calculations, which was successfully applied in problems of high energy physics and critical statics. In this talk, the speaker reviews the method and discusses its advantages and limitations. He also investigates its applicability to critical dynamics in the context of the stochastic model of fully developed turbulence of infinite dimension. Researcher adapts the hyperlogarithm method by choosing a proper renormalization scheme and introducing an effective dimension of the space. This allows to obtain four-loop analytical expression for the critical exponent ω within the framework of renormalization group and ε-expansion. The results open possibilities for further multiloop calculations with the parametric hyperlogarithm approach.