论文标题

O(N)理论中Yang-Lee边缘奇点的通用位置

Universal location of the Yang-Lee edge singularity in O(N) theories

论文作者

Connelly, Andrew, Johnson, Gregory, Rennecke, Fabian, Skokov, Vladimir

论文摘要

我们确定了一个以前未知的通用数量,即O($ n $)理论的Yang-Lee边缘奇异性的位置,范围很广,$ n $和各个方面。在大$ n $上,我们在奇异性位置重现了$ n \ to \ infty $分析结果,此外,我们还获得了该位置的平均场结果$ d = 4 $尺寸。为了捕获任意$ n $,$ d $和复杂价值外部字段的非扰动物理学,我们使用功能性更新化组方法。

We determine a previously unknown universal quantity, the location of the Yang-Lee edge singularity for the O($N$) theories in a wide range of $N$ and various dimensions. At large $N$, we reproduce the $N\to\infty$ analytical result on the location of the singularity and, additionally, we obtain the mean-field result for the location in $d=4$ dimensions. In order to capture the nonperturbative physics for arbitrary $N$, $d$ and complex-valued external fields, we use the functional renormalization group approach.

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