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

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dc.creatorSelivanov, K. G.
dc.creatorSmilga, A. V.
dc.date2000-10-26
dc.date2001-09-12
dc.date.accessioned2026-07-07T12:03:36Z
dc.date.available2026-07-07T12:03:36Z
dc.descriptionFlat 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.
dc.description20 pages, 1 figure, corrected some typos
dc.identifierhttps://arxiv.org/abs/hep-th/0010243
dc.identifierhttp://arxiv.org/abs/hep-th/0010243
dc.identifierPhys.Rev.D63:125020,2001
dc.identifierdoi:10.1103/PhysRevD.63.125020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207842
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleClassical Yang-Mills Vacua on $T^{3}$ : Explicit Constructions
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