Classical Yang-Mills Vacua on $T^{3}$ : Explicit Constructions

Details Classical Yang-Mills Vacua on $T^{3}$ : Explicit Constructions Classical Yang-Mills Vacua on $T^{3}$ : Explicit Constructions

2000-10-26

arxiv.org/abs/hep-th/0010243v2

Phys.Rev.D63:125020,2001

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 1 figure, corrected some typos

Scientific paper

10.1103/PhysRevD.63.125020

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.

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