Classical Yang-Mills vacua on T-3: Explicit constructions - art. no. 125020

Authors
Selivanov, KG Smilga, AV
Citation
Kg. Selivanov et Av. Smilga, Classical Yang-Mills vacua on T-3: Explicit constructions - art. no. 125020, PHYS REV D, 6312(12), 2001, pp. 5020
Citations number
27
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW D
ISSN journal
05562821 → ACNP
Volume
6312
Issue
12
Year of publication
2001
Database
ISI
SICI code
0556-2821(20010615)6312:12<5020:CYVOTE>2.0.ZU;2-U
Abstract
Flat connections for unitary gauge groups on a 3-torus with twisted boundar y conditions as well as recently discovered periodic nontrivial flat connec tions with "nondiagonalizable" triples of holonomies for higher orthogonal and exceptional groups are constructed explicitly in terms of Jacobi theta functions with rational characteristics. The (fractional) Chern-Simons numb ers of these vacuum gauge field configurations are verified by direct compu tation.