Limits of Yang-Mills {\alpha}-connections
Differential Geometry
2017-05-18 v1
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.
Keywords
Cite
@article{arxiv.1705.06104,
title = {Limits of Yang-Mills {\alpha}-connections},
author = {Casey Lynn Kelleher},
journal= {arXiv preprint arXiv:1705.06104},
year = {2017}
}