标题： 小动量下的运行耦合，重整化方案和重整子 显示英文标题

标题： Running coupling at small momenta, renormalization schemes and renormalons

摘要： 我们建议一种通过使用特殊的重整化方案来求和与量子色动力学（QCD）中红外（IR）重整子相关的微扰理论（PT）渐近级数的方法，在这些方案中，运行耦合常数可以在小动量区域进行积分。 为了使该方法有效，应考虑标准泡状链图的高阶PT修正。高阶修正允许选择一种方案，其中耦合常数演化可以平滑地外推到小动量区域。在这样的方案中，(扩展的) IR-重整子渐近级数的和被定义为运行耦合常数在IR区域的积分。 我们给出了QCD中显式的重整化方案示例，根据我们的定义，这些方案可用于求和IR-重整子渐近级数。 显示英文摘要

摘要： We suggest a method of summing the perturbation theory (PT) asymptotic series related to infrared (IR) renormalons in QCD by using special renormalization schemes in which the running coupling can be integrated over the region of small momenta. For the method to work, one should consider higher order PT corrections to the standard bubble-chain diagrams. High-order corrections allow one to choose a scheme in which the coupling evolution can smoothly be extrapolated to small momenta. In such schemes the sum of an (extended) IR-renormalon asymptotic series is defined as an integral of the running coupling over the IR region. We give explicit examples of renormalization schemes in QCD which can be used for summing IR-renormalon asymptotic series according to our definition.