Calorons in the Weyl gauge

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Dunne G., Tekin B.

PHYSICAL REVIEW D, vol.63, no.8, 2001 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 63 Issue: 8
  • Publication Date: 2001
  • Doi Number: 10.1103/physrevd.63.085004
  • Journal Name: PHYSICAL REVIEW D
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Middle East Technical University Affiliated: No

Abstract

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.