Towards the QED beta function and renormalons at $1/N_f^2$ and $1/N_f^3$
High Energy Physics - Theory
2020-08-12 v2 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
We determine the and contributions to the QED beta function stemming from the closed set of nested diagrams. At order we discover a new logarithmic branch-cut closer to the origin when compared to the results. The same singularity location appears at , and these correspond to a UV renormalon singularity in the finite part of the photon two-point function.
Keywords
Cite
@article{arxiv.2003.08397,
title = {Towards the QED beta function and renormalons at $1/N_f^2$ and $1/N_f^3$},
author = {Nicola Andrea Dondi and Gerald V. Dunne and Manuel Reichert and Francesco Sannino},
journal= {arXiv preprint arXiv:2003.08397},
year = {2020}
}
Comments
15 pages, 11 figures; v2: journal published version