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 language||English (US)|
|Journal||Calculus of Variations and Partial Differential Equations|
|State||Published - Apr 1 2019|
All Science Journal Classification (ASJC) codes
- Applied Mathematics