Noncommutative geometry and gauge theory on discrete groups

DOI10.1016/0393-0440(94)00009-SzbMath0812.53058arXivhep-th/9210098OpenAlexW2032734311MaRDI QIDQ1345102

Andrzej Sitarz

Publication date: 26 February 1995

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9210098

zbMATH Keywords

noncommutative geometrysymmetriesgauge theorydiscrete groupsunitary gauge theories

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Symmetry breaking in quantum theory (81R40) Applications of differential geometry to physics (53Z05)

Related Items

A spinorial formulation of the maximum clique problem of a graph, Noncommutative differential geometry with higher-order derivatives, Difference discrete connection and curvature on cubic lattice, Conservation laws for a class of nonlinear equations with variable coefficients on discrete and noncommutative spaces, Differential geometry of group lattices, Anomaly cancellation condition in lattice gauge theory, Cartan calculus for quantum differentials on bicrossproducts, Noncommutative differential calculus and the axial anomaly in abelian lattice gauge theories, Noncommutative Riemannian geometry of the alternating group \({\mathcal A}_{4}\), Connes' spectral triple and \(U\)(1) gauge theory on finite sets

Cites Work

• Non-commutative geometry: A physicist's brief survey
• Noncommutative geometry and Higgs mechanism in the standard model.
• Non-commutative differential geometry
• Gravity in non-commutative geometry
• Noncommutative differential geometry and new models of gauge theory
• Classical bosons in a non-commutative geometry
• Particle models and noncommutative geometry
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