论文标题

从O(4)Sigma模型中的扰动到非扰动

From perturbative to non-perturbative in the O(4) sigma model

论文作者

Abbott, Michael C., Bajnok, Zoltán, Balog, János, Hegedűs, Árpád

论文摘要

我们研究了磁场中二维O(4)Sigma模型的自由能的复出跨系列。利用集成性,我们获得了非常高阶的扰动数据,我们可以从中探索非扰动部门。我们能够准确地确定领先的实现指数级的小术语,我们根据精确积分方程的直接数值解决方案进行检查,并找到完全的一致性。

We study the resurgent trans-series for the free energy of the two-dimensional O(4) sigma model in a magnetic field. Exploiting integrability, we obtain very high-order perturbative data, from which we can explore non-perturbative sectors. We are able to determine exactly the leading real-valued exponentially small terms, which we check against the direct numerical solution of the exact integral equation, and find complete agreement.

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