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

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 dy...

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Bibliographic Details
Published inPhysica A Vol. 600; p. 127530
Main Authors Adzhemyan, L.Ts, Evdokimov, D.A., Hnatič, M., Ivanova, E.V., Kompaniets, M.V., Kudlis, A., Zakharov, D.V.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.08.2022
Subjects
[formula omitted] expansion
Critical dynamic exponent z
Critical dynamics
Multi-loop calculation
Renormalization group
Critical dynamic exponent z
Critical dynamics
ɛ expansion
Multi-loop calculation
Renormalization group
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Summary: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.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2022.127530