2025/05/26 by Guy F. de Téramond, Arpon Paul, de Teramond, Guy F. +11 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2505.19545
openalex publication_date 2025/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We extend our recent analytic study of the strong coupling α\rm eff in the nonperturbative and near-perturbative regimes~\citedeTeramond:2024ikl by imposing rigorous renormalization-group results from asymptotically free gauge theories at Q2 → ∞. The asymptotic boundary conditions modify the scaling properties of α\rm eff at large values of the momentum transfer Q2, and lead to a scale-dependent confinement strength κ(Q2). This requires that both κ(Q2) and α\rm eff(Q2, κ(Q2)) remain holomorphic in the complex Q2 plane, except at the physical cuts associated with the heavy-quark thresholds and the singularity flow trajectory studied in~\citedeTeramond:2024ikl. For color SU(3), a precise connection is found between the scaling exponent of κ(Q2) in the ultraviolet, the value of the infrared fixed point of the strong coupling, and the number of flavors in agreement with observations. The nonperturbative analytic model gives an accurate description of the strong coupling at all scales, up to the highest available data.