标题： 重整化规范理论中的重兴起与自完成 显示英文标题

标题： Resurgence and self-completion in renormalized gauge theories

摘要： 在某些假设下，并且独立于瞬子，我们证明量子场论中维度正则化的对数展开需要非微扰补全，以使在所有能量下的重整化群流有效。 然后，我们证明这种非微扰补全具有重整子的解析性质，我们仅以边缘参考图示计算的方式找到了这些性质。 我们证明重整子修正必然导致可分析的函数，即重生渐进行列。 提供了对重整子重生性质的详细分析。 理论的自洽性要求这些非微扰贡献在任何能量下都使运行耦合常数明确定义，因此没有Landau极点。 我们在QED的情况下说明了这一点。 这样，我们明确实现了非微扰Landau极点尺度与重整子之间的对应关系。 在微扰理论中被视为Landau极点的现象被非微扰、重生贡献所治愈。 显示英文摘要

摘要： Under certain assumptions and independent of the instantons, we show that the logarithm expansion of dimensional regularization in quantum field theory needs a nonperturbative completion to have a renormalization-group flow valid at all energies. Then, we show that such nonperturbative completion has the analytic properties of the renormalons, which we find with only a marginal reference to diagrammatic calculations. We demonstrate that renormalon corrections necessarily lead to analyzable functions, namely, resurgent transseries. A detailed analysis of the resurgent properties of the renormalons is provided. The self-consistency of the theory requires these nonperturbative contributions to render the running coupling well-defined at any energy, thus with no Landau pole. We illustrate the point within the case of QED. This way, we explicitly realize the correspondence between the nonperturbative Landau pole scale and the renormalons. What is seen as a Landau pole in perturbation theory is cured by the nonperturbative, resurgent contributions.