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Calorons in the Weyl gauge
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Date
2001-04-15
Author
Dunne, GV
Tekin, Bayram
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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
Journal
PHYSICAL REVIEW D
DOI
https://doi.org/10.1103/physrevd.63.085004
Collections
Department of Physics, Article