24 v 1 1 7 M ay 2 00 1 Fast and Slow Blowup in the S 2 Sigma Model and ( 4 + 1 )-Dimensional Yang-Mills Model ∗

Abstract

We study singularity formation in spherically symmetric solutions of the charge-one and charge-two sector of the (2+1)-dimensional S2 σ-model and the (4+1)-dimensional Yang-Mills model, near the adiabatic limit. These equations are non-integrable, and so studies are performed numerically on rotationally symmetric solutions using an iterative finite… (More)

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