“大规模”扰动QCD，在IR极限内有规律
"Massive" Perturbative QCD, regular in the IR limit
摘要：
研究的目标是设计一种修正的微扰QCD，它在低能区应该是规则的，并且可以作为分析低于1 \GeV直到IR极限的数据的实用手段。最近观察到的四圈pQCD系列“吹胀”的区域低于1 \GeV的比约肯求和规则给了这个尝试的动力。建议{ \sf“大规模分析pQCD”}是基于这两个理由。第一个是仅添加一个参数的pQCD，即充当IR调节器的有效“胶球质量”$m_{gl}\lesssim 1 \GeV,$。第二个源于无鬼的解析微扰理论，包括非幂微扰展开，使其与线性积分变换兼容。简而言之，所提出的MAPT与最小APT的区别在于简单的Answer $Q^2 \to Q^2+m_{gl}^2.$
英文摘要：
The goal of research is to devise a modification of the perturbative QCD that should be regular in the low-energy region and could serve as a practical means for the analysis of data below 1 \GeV up to the IR limit. Recent observation of the four-loop pQCD series "blow-up" in the region below 1 \GeV for the Bjorken Sum Rule gave an impetus to this attempt. The proposed {\sf "massive analytic pQCD"} is constructed on the two grounds. The first is the pQCD with only one parameter added, the effective "glueball mass" $m_{gl}\lesssim 1 \GeV,$ serving as an IR regulator. The second stems out of the ghost-free Analytic Perturbation Theory comprising non-power perturbative expansion that makes it compatible with linear integral transformations. In short, the proposed MAPT differs from the minimal APT by simple ansatz $Q^2 \to Q^2+m_{gl}^2.$
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