Connes' model building kit

DOI10.1016/0393-0440(94)00026-ZzbMath0835.58004arXivhep-th/9312186MaRDI QIDQ1893849

Jean-Marc Zylinski, Thomas Schücker

Publication date: 21 April 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9312186

zbMATH Keywords

noncommutative geometryYang-Mills-Higgselementary particle physics

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Yang-Mills and other gauge theories in quantum field theory (81T13)

Related Items

Gauge theories of Dirac type ⋮ A left-right symmetric model à la Connes-Lott ⋮ Discrete Kaluza–Klein from scalar fluctuations in noncommutative geometry ⋮ Yang-Mills-Higgs versus Connes-Lott ⋮ EXTENDED CHAMSEDDINE–FRÖHLICH APPROACH TO NONCOMMUTATIVE GEOMETRY AND THE TWO-DOUBLETS HIGGS MODEL ⋮ GRADED LIE ALGEBRA AND THE SU(3)_L⊗U(1)_N GAUGE MODEL ⋮ Geometry, stochastic calculus, and quantum fields in a noncommutative space–time ⋮ Reformulation of the standard model in a generalized differential geometry on the discrete space M4×X2 ⋮ Notes on Connes' construction of the standard model ⋮ Nonsymmetric gravitation theory in noncommutative geometry ⋮ THE HIGGS SECTOR ON A TWO-SHEETED SPACE–TIME ⋮ Real Z2-bigradings, Majorana modules, and the standard model action

Cites Work

• Quantum forms of tensor products
• Gravity in non-commutative geometry
• Connes' noncommutative differential geometry and the standard model
• Remarks on Alain Connes' approach to the standard model in non-commutative geometry
• A left-right symmetric model à la Connes-Lott
• Classical bosons in a non-commutative geometry
• The fuzzy sphere
• Algebraic Kaluza-Klein cosmology
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