Calorons in the Weyl gauge

Date

2001-04-15

Author

Dunne, GV
Tekin, Bayram

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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.

Subject Keywords

PERIODIC INSTANTONS, FINITE-TEMPERATURE, MONOPOLES, VACUUM, FIELD, QCD

URI

https://hdl.handle.net/11511/40899

Collections

Department of Physics, Article