标题： 统一的一般-1势以及参数摄动/非摄动关系 显示英文标题

标题： Unified genus-1 potential and a parametric perturbative/nonperturbative relation

摘要： 我们研究了统一的一阶非谐势的参数形变，并推导出一种适用于所有参数值的微扰/非微扰（P/NP）关系的参数形式。 我们明确展示了围绕微扰鞍点展开的微扰级数足以生成这些系统中的所有非微扰信息。 我们的结果证实了文献中已知的结果，在极端参数值下再现了三次和四次非谐势，并通过仅从微扰数据发展出实部和复部瞬子的非微扰函数，超越了这些已知结果。 显示英文摘要

摘要： We study a parametric deformation of the unified genus-1 anharmonic potential and derive a parametric form of perturbative/nonperturbative (P/NP) relation, applicable across all parameter values. We explicitly demonstrate that the perturbative expansion around the perturbative saddle is sufficient to generate all the nonperturbative information in these systems. Our results confirm the known results in the literature, where the cubic and quartic anharmonic potentials are reproduced under extreme parameter values, and go beyond these known results by developing the nonperturbative function of real and complex instantons solely from perturbative data.