Limits of Yang–Mills α -connections

Research output: Contribution to journalArticle

Abstract

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
Volume58
Issue number2
DOIs
StatePublished - Apr 1 2019

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Limits of Yang–Mills α -connections'. Together they form a unique fingerprint.

  • Cite this