论文标题
O（4）Sigma模型的复兴
Resurgence in the O(4) sigma model
论文作者
论文摘要
我们分析了磁场中可集成的二维O（4）Sigma模型的自由能。我们使用Volin的方法来提取高精度的高数量（2000）扰动系数。这些系数的阶乘生长通过切换到鲍尔变换来调节，在那里我们进行了几次渐近分析。高精度数据允许以精确表达方式识别Stokes常数和外星衍生物。这些揭示了一个不错的复兴结构，使得可以制定无歧义的无跨系列的前几个术语。我们根据精确积分方程的直接数值解决方案检查这些结果，并找到完全一致。
We analyze the free energy of the integrable two dimensional O(4) sigma model in a magnetic field. We use Volin's method to extract high number (2000) of perturbative coefficients with very high precision. The factorial growth of these coefficients are regulated by switching to the Borel transform, where we perform several asymptotic analysis. High precision data allowed to identify Stokes constants and alien derivatives with exact expressions. These reveal a nice resurgence structure which enables to formulate the first few terms of the ambiguity free trans-series. We check these results against the direct numerical solution of the exact integral equation and find complete agreement.
