Classical Yang-Mills Vacua on $T^{3}$ : Explicit Constructions
High Energy Physics - Theory
2008-11-26 v2 High Energy Physics - Phenomenology
Abstract
Flat connections for unitary gauge groups on a 3--torus with twisted boundary conditions as well as recently discovered periodic nontrivial flat connections 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 numbers of these vacuum gauge field configurations are verified by direct computation.
Cite
@article{arxiv.hep-th/0010243,
title = {Classical Yang-Mills Vacua on $T^{3}$ : Explicit Constructions},
author = {K. G. Selivanov and A. V. Smilga},
journal= {arXiv preprint arXiv:hep-th/0010243},
year = {2008}
}
Comments
20 pages, 1 figure, corrected some typos