Calorons in the Weyl gauge

Dunne, GV
Tekin, Bayram
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.

Citation Formats
G. Dunne and B. Tekin, “Calorons in the Weyl gauge,” PHYSICAL REVIEW D, vol. 63, no. 8, pp. 0–0, 2001, Accessed: 00, 2020. [Online]. Available: