径向对称背景下的重正化有效作用量：精确计算与近似方法
Renormalized Effective Actions in Radially Symmetric Backgrounds: Exact Calculations Versus Approximation Methods
摘要：
利用我们发展的计算方法（分波截断法）计算了一类径向对称背景规范场中的标量单圈有效作用量。我们的方法被证明是特别有效的，当它被用于与系统的WKB系列的大的分波贡献的有效行动。通过比较这些数值精确的计算对预测的基础上的大质量膨胀和导数膨胀，我们讨论了后者的近似方法的有效范围。
英文摘要：
Our previously-developed calculational method (the partial wave cutoff method) is employed to evaluate explicitly scalar one-loop effective actions in a class of radially symmetric background gauge fields. Our method proves to be particularly effective when it is used in conjunction with a systematic WKB series for the large partial wave contribution to the effective action. By comparing these numerically exact calculations against the predictions based on the large mass expansion and derivative expansion, we discuss the validity ranges of the latter approximation methods.
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