Towards the QED beta function and renormalons at 1/Nf2 and 1/Nf3

2020/03/31 by Nicola Andrea Dondi, Gerald V. Dunne, Manuel Reichert +1 · 19 citations
Mathematics · Physics and Astronomy · #Biology #Black Holes and Theoretical Physics #Function (biology) #Geometry #Logarithm #Mathematical analysis #Mathematical physics #Mathematics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Renormalon #Singularity #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.102.035005

published in Physical review. D/Physical review. D. 102(3) (American Physical Society) · 15 pages, 11 figures; v2: journal published version

openalex created_date 2020/03/23 · arxiv created 2020/07/20 · openalex publication_date 2020/08/06 · arxiv updated 2020/08/12 · openalex updated_date 2026/08/05

Abstract

We determine the 1/N_f² and 1/N_f³ contributions to the QED beta function stemming from the closed set of nested diagrams. At the order of 1/N_f², we discover a new logarithmic branch cut closer to the origin when compared to the 1/N_f results. The same singularity location appears at 1/N_f³, and these correspond to a UV renormalon singularity in the finite part of the photon two-point function.

Citations

• The QCD β-function at
• Ultraviolet and infrared zeros of gauge theories at the four-loop order and beyond
• Vacuum stability of asymptotically safe gauge-Yukawa theories

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