论文标题
可集成领域理论中的完整分析跨系列
The full analytic trans-series in integrable field theories
论文作者
论文摘要
我们分析了在存在与保守电荷的外部场的情况下,分析了可整合量子场理论中的广义能量密度家族。通过使用Wiener-HOPF技术来求解线性热力学Bethe ansatz方程,我们根据扰动定义的基础来得出这些可观察到的完整分析跨系列。我们展示了如何计算这些基础元素以分析高阶并揭示其完整的复苏结构。我们证明,通用能量密度的物理价值是通过无歧义的无跨系列的中位数重新调整而获得的。
We analyze a family of generalized energy densities in integrable quantum field theories in the presence of an external field coupled to a conserved charge. By using the Wiener-Hopf technique to solve the linear thermodynamic Bethe ansatz equations we derive the full analytic trans-series for these observables in terms of a perturbatively defined basis. We show how to calculate these basis elements to high orders analytically and reveal their complete resurgence structure. We demonstrate that the physical value of the generalized energy densities is obtained by the median resummation of their ambiguity-free trans-series.