Limits of Yang–Mills α -connections

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In the spirit of recent work of Lamm, Malchiodi and Micallef in the setting of harmonic maps (Lamm et al. in Limits of α-harmonic maps, 2015), we identify Yang–Mills connections obtained by approximations with respect to the Yang–Mills α-energy. More specifically, we show that for the SU(2) Hopf fibration over S 4 , for sufficiently small α values the SO(4) invariant ADHM instanton is the unique α-critical point which has Yang–Mills α-energy lower than a specific threshold.

Original languageEnglish (US)
Article number76
JournalCalculus of Variations and Partial Differential Equations
Issue number2
StatePublished - Apr 1 2019

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics


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