Representation of Renormalization Group Functions By Nonsingular Integrals in a Model of the Critical Dynamics of Ferromagnets: The Fourth Order of The ε-Expansion

L. Ts. Adzhemyan; S. E. Vorob’eva; E. V. Ivanova; M. V. Kompaniets

doi:10.1134/S0040577918040104

Representation of Renormalization Group Functions By Nonsingular Integrals in a Model of the Critical Dynamics of Ferromagnets: The Fourth Order of The ε-Expansion

Authors: Adzhemyan L.T.¹, Vorob’eva S.E.¹, Ivanova E.V.¹, Kompaniets M.V.¹
Affiliations:
1. St. Petersburg University
Issue: Vol 195, No 1 (2018)
Pages: 584-594
Section: Article
URL: https://journals.rcsi.science/0040-5779/article/view/171724
DOI: https://doi.org/10.1134/S0040577918040104
ID: 171724

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Abstract

Using the representation for renormalization group functions in terms of nonsingular integrals, we calculate the dynamical critical exponents in the model of critical dynamics of ferromagnets in the fourth order of the ε-expansion. We calculate the Feynman diagrams using the sector decomposition technique generalized to critical dynamics problems.