This article is cited in 2 papers

Representation of renormalization group functions by nonsingular integrals in a model of the critical dynamics of ferromagnets: The fourth order of the $\varepsilon$-expansion

L. Ts. Adzhemyan, S. E. Vorob'eva, E. V. Ivanova, M. V. Kompaniets

St. Petersburg University, St. Petersburg, Russia

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 $\varepsilon$-expansion. We calculate the Feynman diagrams using the sector decomposition technique generalized to critical dynamics problems.

Keywords: renormalization group, $\varepsilon$-expansion, multiloop diagram, critical parameter.

Received: 06.06.2017
Revised: 21.07.2017

DOI: 10.4213/tmf9412

 English version: Theoretical and Mathematical Physics, 2018, 195:1, 584–594

Bibliographic databases:

• 
• 
• 
• 
•