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

A. Kudlis; D.A. Evdokimov; D.V. Zakharov; E.V. Ivanova; L.Ts. Adzhemyan; M. Hnati\v{c}; M.V. Kompaniets

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

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arxiv 2201.12640 v1 pith:CLP7BPVE submitted 2022-01-29 cond-mat.stat-mech

L.Ts. Adzhemyan , D.A. Evdokimov , M. Hnatič , E.V. Ivanova , M.V. Kompaniets , A. Kudlis , D.V. Zakharov This is my paper · ORCID

classification cond-mat.stat-mech

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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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Critical dynamics of a scalar field near four spatial dimensions
hep-th 2026-08 accept novelty 6.0 of 10

The exactly dissipationless critical dynamics of a scalar field is an invariant but unstable surface of the RG flow, and any small friction drives it to Model A, with new two-loop dynamic exponents.

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