Abelian projection on the torus for general gauge groups

DOI10.1016/S0550-3213(99)00146-7zbMath0944.81018arXivhep-th/9809209OpenAlexW3105548928WikidataQ125728607 ScholiaQ125728607MaRDI QIDQ1572091

N. Delaunay

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9809209

zbMATH Keywords

boundary conditionsYang-Mills theories

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (7)

Gauge orbit types for theories with gauge group \(O(n)\), \(SO(n)\) or \(Sp(n)\) ⋮ \(\text{SU}(N)\)-gauge theories in Polyakov gauge on the torus ⋮ Instantons and Gribov copies in the maximally abelian gauge ⋮ Merons and instantons in Laplacian Abelian and center gauges in continuum Yang-Mills theory ⋮ Magnetic monopoles vs. Hopf defects in the Laplacian (Abelian) gauge ⋮ Abelian and center gauge fixing in continuum Yang-Mills theory for general gauge groups ⋮ ADHM construction of instantons on the torus

Cites Work

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• Monopoles, Polyakov loops, and gauge fixing on the torus
• QCD in the axial gauge representation
• Resolution of Gauss' law in Yang-Mills theory by gauge-invariant projection: Topology and magnetic monopoles
• Polyakov loops and fermionic zero-modes in QCD\(_2\) on the torus
• Generalized Thirring models
• Some results for SU(N) gauge-fields on the hypertorus
• CONSISTENT AXIAL-LIKE GAUGE FIXING ON HYPERTORI
• SIMPLE INTEGRABLE SYSTEMS, AND LIE ALGEBRAS
• Quantised singularities in the electromagnetic field,
• Aspects of Quark Confinement

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