2012/08/31 by D. V. Shirkov · 2 citations
Physics and Astronomy · #Ansatz #Glueball #High-Energy Particle Collisions Research #Limit (mathematics) #Logarithm #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Perturbative QCD #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #hep-ph #hep-th
paper · pdf · doi:10.1134/s1547477113030138
10 pages, 4 figures; few editing corrections, additional Ansatz (A) on the top of page 4, 6 references and second Appendix with 2 figures added. This version will be published in PEPAN Lett. Vol 10 (2013)
arxiv created 2012/11/23 · openalex publication_date 2013/05/01 · arxiv updated 2015/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The goal of the research is to devise a modification of the perturbative QCD (pQCD) that should be regular in the low-energy region and could serve as a practical means for the analysis of data below 1 GeV down 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 “massive” analytic pQCD has two sources. It can be treated as the common logarithmic pQCD with only one parameter added, the effective “glueball mass” m gl ≲ 1 GeV, serving as an IR regulator. At the same time, it looks like a modification of Analytic Perturbation Theory (APT) comprising nonpower perturbative expansion that makes it compatible with linear integral transformations. Figuratively (with minor reservations), the proposed MAPT differs from the minimal APT by simple ansatz Q 2 → Q 2 + m g1 2 .