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arXiv · 1705.06104

Limits of Yang-Mills {\alpha}-connections

Casey Lynn Kelleher
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Abstract

In the spirit of recent work of Lamm, Malchiodi and Micallef in the setting of harmonic maps, we identify Yang-Mills connections obtained by approximations with respect to the Yang-Mills {\alpha}-energy. More specifically, we show that for the SU(2) Hopf fibration over the four sphere, for sufficiently small {\alpha} values the SO(4) invariant ADHM instanton is the unique {\alpha}-critical point which has Yang-Mills {\alpha}-energy lower than a specific threshold.

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Casey Lynn Kelleher. 2017-05-17. Limits of Yang-Mills {\alpha}-connections. https://arxiv.org/abs/1705.06104

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