On Renormalons and Landau Poles in Gauge Field Theories

Abstract

It is shown that the commonly accepted relationship between the Landau singularity in the running coupling constant of QED or QCD and the renormalon singularities in the Borel sums of perturbation theory expansions is only a particular feature of the restriction of the perturbative $\beta$--function to the one loop level.

11 pages, latex. One comment and one reference added

References in corpus (2)

• Ultraviolet renormalons in abelian gauge theories
• Renormalons and perturbative fixed points

Cited by in corpus (10)

• Renormalons
• Electroweak Effective Charges and their relation to Physical Cross Sections
• Analytic Approach to Perturbative QCD
• Low-Energy QCD and Ultraviolet Renormalons
• Variational Quark Mass Expansion and the Order Parameters of Chiral Symmetry Breaking
• Numerical analysis of renormalon technique in quantum mechanics
• Ambiguities in QED: Renormalons versus Triviality
• The QCD Adler function and the muon $g-2$ anomaly from renormalons
• UV renormalons in QCD and their phenomenological implications
• Computation of the one-loop spectral QCD running coupling using covariant spectral regularization