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

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 tec...

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Bibliographic Details
Published in:Theoretical and mathematical physics 2018-04, Vol.195 (1), p.584-594
Main Authors: Adzhemyan, L. Ts, Vorob’eva, S. E., Ivanova, E. V., Kompaniets, M. V.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Ferromagnetism
Feynman diagrams
Integrals
Mathematical and Computational Physics
Mathematical models
Physics
Physics and Astronomy
Representations
Theoretical
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Summary: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.
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577918040104