标题： 潜在的非相对论QED：正电子素的情况 显示英文标题

标题： Potential NRQED: The Positronium Case

摘要： 我们详细讨论了潜在的非相对论量子电动力学（pNRQED），这是一种之前提出的用于超软光子的有效场理论。 等质量情况下的pNRQED拉格朗日量被给出，并且表明它在$m\alpha^5$阶正确地再现了正电子素的谱。 不同质量情况下的pNRQED拉格朗日量也在同一阶被给出。 throughout 使用了维数正则化。 显示英文摘要

摘要： We discuss in detail potential NRQED (pNRQED), a previously proposed effective field theory for ultrasoft photons. The pNRQED lagrangian for the equal mass case is presented and it is shown that it correctly reproduces the positronium spectrum at order $m\alpha^5$. The pNRQED lagrangian for the unequal mass case is also presented at the same order. Dimensional regularization is used throughout.