Is there a Landau Pole Problem in QED?
M. G\"ockeler, R. Horsley, V. Linke, P. Rakow, G. Schierholz, H., St\"uben
TL;DR
This paper uses numerical lattice simulations to explore the Landau pole issue in QED, finding that the Landau pole is hidden behind chiral symmetry breaking, which prevents reaching problematic parameter regions.
Contribution
It provides a numerical investigation of lattice QED showing the Landau pole is inaccessible due to spontaneous chiral symmetry breaking.
Findings
Renormalized charge tends to zero in the continuum limit.
Landau pole region is blocked by chiral symmetry breaking.
Results support the consistency of QED without encountering a Landau pole.
Abstract
We investigate a lattice version of QED by numerical simulations. For the renormalized charge and mass we find results which are consistent with the renormalized charge vanishing in the continuum limit. A detailed study of the relation between bare and renormalized quantities reveals that the Landau pole lies in a region of parameter space which is made inaccessible by spontaneous chiral symmetry breaking.
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