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Critical behavior of the 2d scalar theory: resumming the N8LO perturbative mass gap
Journal of High Energy Physics ( IF 5.0 ) Pub Date : 2021-07-22 , DOI: 10.1007/jhep07(2021)163
Gustavo O. Heymans 1 , Marcus Benghi Pinto 1
Affiliation  

We apply the optimized perturbation theory (OPT) to resum the perturbative series describing the mass gap of the bidimensional ϕ4 theory in the ℤ2 symmetric phase. Already at NLO (one loop) the method is capable of generating a quite reasonable non-perturbative result for the critical coupling. At order-g7 we obtain gc = 2.779(25) which compares very well with the state of the art N8LO result, gc = 2.807(34). As a novelty we investigate the supercritical region showing that it contains some useful complimentary information that can be used in extrapolations to arbitrarily high orders.

A preprint version of the article is available at ArXiv.


中文翻译:

二维标量理论的临界行为:恢复 N8LO 微扰质量间隙

我们应用优化微扰理论 (OPT) 来恢复描述ℤ 2对称相中二维ϕ 4理论质量间隙的微扰级数。已经在 NLO(一个循环)中,该方法能够为临界耦合生成相当合理的非微扰结果。在阶g 7我们得到g c = 2 779(25) 与最先进的 N 8 LO 结果相比非常好,g c = 2 807(34)。作为一项新颖性,我们研究了超临界区域,表明它包含一些有用的补充信息,可用于外推到任意高阶。

该文章的预印版可在 ArXiv 上获得。
更新日期:2021-07-23
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