Is there a Landau pole problem in QED?

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.

quantum electrodynamics
lattice field theory
fermion: mass
charge: renormalization
renormalization group: beta function
photon: propagator
analytic properties
numerical calculations

References(8)

Figures(0)

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(
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)

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Sidney R. Coleman
(
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Erick J. Weinberg
(
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