TY - JOUR
T1 - Limits of Yang–Mills α -connections
AU - Kelleher, Casey Lynn
N1 - Publisher Copyright:
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2019/4/1
Y1 - 2019/4/1
N2 - 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.
AB - 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.
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U2 - 10.1007/s00526-019-1508-1
DO - 10.1007/s00526-019-1508-1
M3 - Article
AN - SCOPUS:85063469055
SN - 0944-2669
VL - 58
JO - Calculus of Variations and Partial Differential Equations
JF - Calculus of Variations and Partial Differential Equations
IS - 2
M1 - 76
ER -