论文标题

关键动态的A模型:5循环$ \ VAREPSILON $扩展研究

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

论文作者

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

论文摘要

我们已经计算了$ n $ -component的五环RG扩展,其中一个尺寸的关键动力学模型$ d = 4- \ varepsilon $在最小的减法方案中。通过使用高级图减少方法和适合关键动力学问题的扇区分解技术,这可以实现。得出了订单参数dimension $ n $的关键动态指数$ z $的$ \ varepsilon $扩展。基于这些系列,提取了不同通用类别的$ z $的数值估计值,并将其与不同理论和实验方法中获得的结果进行了比较。

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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