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An interesting class of background field configurations in quantumelectrodynamics (QED) are the O(2)xO(3) symmetric fields, originally introducedby S.L. Adler in 1972. Those backgrounds have some instanton-like propertiesand yield a one-loop effective action that is highly nontrivial, but amenableto numerical calculation. Here, we use the recently developed"partial-wave-cutoff method" for a full mass range numerical analysis of theeffective action for the "standard" O(2)xO(3) symmetric field, modified by aradial suppression factor. At large mass, we are able to match the asymptoticsof the physically renormalized effective action against the leading two masslevels of the inverse mass expansion. For small masses, with a suitable choiceof the renormalization scheme we obtain stable numerical results even in themassless limit. We analyze the N - point functions in this background and showthat, even in the absence of the radial suppression factor, the two-pointcontribution to the effective action is the only obstacle to taking itsmassless limit. The standard O(2)xO(3) background leads to a chiral anomalyterm in the effective action, and both our perturbative and nonperturbativeresults strongly suggest that the small-mass asymptotic behavior of theeffective action is, after the subtraction of the two-point contribution,dominated by this anomaly term as the only source of a logarithmic massdependence. This confirms a conjecture by M. Fry.

Full mass range analysis of the QED effective action for an O(2)xO(3) symmetric field