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In our previous paper (Fukui et al., 2010), we have shown that theJackiw-Nohl-Rebbi two-instanton generates a circular loop of magnetic monopolein the four-dimensional Euclidean SU(2) Yang-Mills theory. On the other hand,it is claimed in Brower, Orginos and Tan (1997) that the 't Hooft two-instantondoes not generate magnetic monopole loop. It seems that two results areinconsistent with each other, since the JNR two-instanton converges to the 'tHooft two-instanton in a certain limit. In this paper, we clarify that tworesults are compatible with each other by demonstrating how the magneticmonopole loop generated from the JNR two-instanton deforms in the process oftaking the 't Hooft two-instanton limit.

Magnetic monopole loops generated from two-instanton solutions: Jackiw-Nohl-Rebbi versus 't Hooft instanton