Calorons in the Weyl gauge
Abstract
We demonstrate by explicit construction that while the untwisted HarringtonShepard caloron A_{μ} is manifestly periodic in Euclidean time, with a period β=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 ChernSimons numbers and winding numbers.
 Publication:

Physical Review D
 Pub Date:
 April 2001
 DOI:
 10.1103/PhysRevD.63.085004
 arXiv:
 arXiv:hepth/0011169
 Bibcode:
 2001PhRvD..63h5004D
 Keywords:

 11.15.Kc;
 11.10.Wx;
 11.27.+d;
 Classical and semiclassical techniques;
 Finitetemperature field theory;
 Extended classical solutions;
 cosmic strings domain walls texture;
 High Energy Physics  Theory;
 High Energy Physics  Lattice;
 High Energy Physics  Phenomenology
 EPrint:
 10 pages, 10 figures, a sign typo in equation 27 is corrected