Remarks on Alain Connes' approach to the standard model in non-commutative geometry

DOI10.1007/BF01017085zbMath0846.46045arXivhep-th/0111234MaRDI QIDQ1326812

Thomas Schücker, Daniel Kastler

Publication date: 13 July 1994

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0111234

zbMATH Keywords

non-commutative Yang-Mills scheme

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Model quantum field theories (81T10) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of functional analysis in quantum physics (46N50)

Related Items (11)

Deriving the standard model from the simplest two-point K cycle ⋮ Connes' model building kit ⋮ On the structure of a differential algebra used by Connes and Lott ⋮ The standard model à la Connes-Lott ⋮ Yang-Mills-Higgs versus Connes-Lott ⋮ The Chern–Simons action in noncommutative geometry ⋮ Fuzzy mass relations for the Higgs ⋮ Noncommutative geometry and fundamental physical interactions: The Lagrangian level—Historical sketch and description of the present situation ⋮ Quantizing field theories in noncommutative geometry and the correspondence between anti de Sitter space and conformal field theory ⋮ On a certain construction of graded Lie algebras with derivation ⋮ Connes' noncommutative differential geometry and the standard model

Cites Work

• The action functional in non-commutative geometry
• Particle models and noncommutative geometry

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