Diagram reduction in problem of critical dynamics of ferromagnets: 4-loop approximation

L. Ts Adzhemyan, E. V. Ivanova, M. V. Kompaniets, S. Ye Vorobyeva

Research output

2 Citations (Scopus)

Abstract

Within the framework of the renormalization group approach to the models of critical dynamics, we propose a method for a considerable reduction of the number of integrals needed to calculate the critical exponents. With this method we perform a calculation of the critical exponent z of model A at 4-loop level, where our method allows one to reduce the number of integrals from 66 to 17. The way of constructing the integrand in a Feynman representation of such diagrams is discussed. Integrals were estimated numerically with a sector decomposition technique.

Original languageEnglish
Article number155003
Number of pages16
JournalJournal of Physics A: Mathematical and Theoretical
Volume51
Issue number15
DOIs
Publication statusPublished - 13 Apr 2018

Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Mathematical Physics
  • Modelling and Simulation

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