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arxiv: hep-th/0305063 · v1 · submitted 2003-05-08 · ✦ hep-th · hep-lat

Constituent monopoles through the eyes of fermion zero-modes

classification ✦ hep-th hep-lat
keywords solutionsconstituentequationfermionmonopolesnahmzero-modesable
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We use the fermion zero-modes in the background of multi-caloron solutions with non-trivial holonomy as a probe for constituent monopoles. We find in general indication for an extended structure. However, for well separated constituents these become point-like. We analyse this in detail for the SU(2) charge 2 case, where one is able to solve the relevant Nahm equation exactly, beyond the piecewize constant solutions studied previously. Remarkably the zero-mode density can be expressed in the high temperature limit as a function of the conserved quantities that classify the solutions of the Nahm equation.

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