English

Model A of critical dynamics: 5-loop $\varepsilon$ expansion study

Statistical Mechanics 2022-06-08 v1

Abstract

We have calculated the five-loop RG expansions of the nn-component A model of critical dynamics in dimensions d=4εd=4-\varepsilon within the Minimal Subtraction scheme. This is made possible by using the advanced diagram reduction method and the Sector Decomposition technique adapted to the problems of critical dynamics. The ε\varepsilon expansions for the critical dynamic exponent zz for an arbitrary value of the order parameter dimension nn are derived. Based on these series, the numerical estimates of zz for different universality classes are extracted and compared with the results obtained within different theoretical and experimental methods.

Keywords

Cite

@article{arxiv.2201.12640,
  title  = {Model A of critical dynamics: 5-loop $\varepsilon$ expansion study},
  author = {L. Ts. Adzhemyan and D. A. Evdokimov and M. Hnatič and E. V. Ivanova and M. V. Kompaniets and A. Kudlis and D. V. Zakharov},
  journal= {arXiv preprint arXiv:2201.12640},
  year   = {2022}
}
R2 v1 2026-06-24T09:08:51.325Z