Fuzzy mass relations for the Higgs

DOI10.1063/1.531242zbMath0848.46052arXivhep-th/9506044OpenAlexW3098159386MaRDI QIDQ4871938

Bruno Iochum, Thomas Schücker, Daniel Kastler

Publication date: 19 May 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9506044

zbMATH Keywords

non-commutative geometryquaternionsfuzzy relationsYang-Mills-Higgs modelsinternal spacespace timeLie-algebra conceptsnon-commutative approachpresence of quarks

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Model quantum field theories (81T10) Quantum field theory on curved space or space-time backgrounds (81T20) Methods of quantum field theory in general relativity and gravitational theory (83C47) Fuzzy functional analysis (46S40)

Related Items (6)

The Einstein–Hilbert–Yang–Mills–Higgs action and the Dirac–Yukawa operator ⋮ Spontaneous symmetry breaking and geometry from the spectral viewpoint ⋮ Space and time dimensions of algebras with application to Lorentzian noncommutative geometry and quantum electrodynamics ⋮ The BRST operator of quantum symmetries: The quantum analogs of Donaldson invariants ⋮ Graded differential Lie algebras and model building ⋮ Spectral Noncommutative Geometry and Quantization

Cites Work

• 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
• Noncommutative differential geometry and new models of gauge theory
• A DETAILED ACCOUNT OF ALAIN CONNES' VERSION OF THE STANDARD MODEL IN NON-COMMUTATIVE GEOMETRY: I AND II.

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