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

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.
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Contributor : Dominique Girod <>
Submitted on : Wednesday, December 5, 2007 - 10:47:21 AM
Last modification on : Thursday, February 7, 2019 - 2:57:46 PM

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K. G. Selivanov, A.V. Smilga. Classical Yang-Mills Vacua on $T^{3}$ : Explicit Constructions. Physical Review D, American Physical Society, 2001, 63, pp.125020. ⟨10.1103/PhysRevD.63.125020⟩. ⟨in2p3-00193938⟩



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