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arXiv · 2201.12640

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

L. Ts. Adzhemyan·D. A. Evdokimov·M. Hnatič·E. V. Ivanova·M. V. Kompaniets·A. Kudlis·D. V. Zakharov
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Abstract

We have calculated the five-loop RG expansions of the $n$-component A model of critical dynamics in dimensions $d=4-\varepsilon$ 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 $\varepsilon$ expansions for the critical dynamic exponent $z$ for an arbitrary value of the order parameter dimension $n$ are derived. Based on these series, the numerical estimates of $z$ for different universality classes are extracted and compared with the results obtained within different theoretical and experimental methods.

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L. Ts. Adzhemyan, D. A. Evdokimov, M. Hnatič, E. V. Ivanova, M. V. Kompaniets, A. Kudlis, D. V. Zakharov. 2022-01-29. Model A of critical dynamics: 5-loop $\varepsilon$ expansion study. https://doi.org/10.1016/j.physa.2022.127530

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