Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-02-17
Phys.Rev. D69 (2004) 065006
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, 4 figures, exponential decay formula corrected, references added
Scientific paper
10.1103/PhysRevD.69.065006
Using the Nahm transform we investigate doubly periodic charge one SU(2) instantons with radial symmetry. Two special points where the Nahm zero modes have softer singularities are identified as the locations of instanton core constituents. For a square torus this constituent picture is closely reflected in the action density. In rectangular tori with large aspect ratios the cores merge to form monopole-like objects. For particular values of the parameters the torus can be cut in half yielding two copies of a twisted charge 1/2 instanton. These findings are illustrated with plots of the action density within a two-dimensional slice containing the constituents.
Ford Chris
Pawlowski Jan M.
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