Model A of critical dynamics: 5-loop ɛ expansion study

L.Ts. Adzhemyan, D.A. Evdokimov, M. Hnatič, E.V. Ivanova, M.V. Kompaniets, A. Kudlis and D.V. Zakharov

Physica A: Statistical Mechanics and its Applications, 2022, vol. 600, issue C

Abstract: We have calculated the five-loop RG expansions of the n-component A model of critical dynamics in dimensions d=4−ɛ 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 ɛ 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.

Keywords: Renormalization group; Critical dynamics; Multi-loop calculation; Critical dynamic exponent z; ɛ expansion (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:600:y:2022:i:c:s0378437122003739

DOI: 10.1016/j.physa.2022.127530

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