Calorons in the Weyl gauge

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Dunne G., Tekin B.

PHYSICAL REVIEW D, cilt.63, 2001 (SCI İndekslerine Giren Dergi) identifier identifier


We demonstrate by explicit construction that while the untwisted Harrington-Shepard caloron A(mu) is manifestly periodic in Euclidean time, with a period beta =1/T, when transformed to the Weyl (A(0)=0) gauge, the caloron gauge field A(i) is periodic only up to a large gauge transformation, with the winding number equal to the caloron's topological charge. This helps clarify the tunneling interpretation of these solutions, and their relation to Chem-Simons numbers and winding numbers.