Is There a Landau Pole Problem in QED?

M. Göckeler; R. Horsley; V. Linke; P. Rakow; G. Schierholz; H. Stüben

doi:10.1103/PhysRevLett.80.4119

Is There a Landau Pole Problem in QED?

M. Göckeler, R. Horsley, V. Linke, P. Rakow, G. Schierholz, and H. Stüben

Phys. Rev. Lett. 80, 4119 – Published 11 May 1998

Abstract

We investigate a lattice version of QED with four flavors by numerical simulations. For the renormalized charge ( $e_{R}$ ) and mass we find results which are consistent with $e_{R}$ 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.

Received 5 January 1998

DOI:https://doi.org/10.1103/PhysRevLett.80.4119

Authors & Affiliations

M. Göckeler¹, R. Horsley², V. Linke³, P. Rakow⁴, G. Schierholz^4,5, and H. Stüben⁶

¹Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany
²Institut für Physik, Humboldt-Universität zu Berlin, D-10115 Berlin, Germany
³Institut für Theoretische Physik, Freie Universität Berlin, D-14195 Berlin, Germany
⁴Deutsches Elektronen-Synchrotron DESY, HLRZ and Institut für Hochenergiephysik, D-15735 Zeuthen, Germany
⁵Deutsches Elektronen-Synchrotron DESY, D-22603 Hamburg, Germany
⁶Konrad-Zuse-Zentrum für Informationstechnik Berlin, D-14195 Berlin, Germany