Noncommutative geometry and the standard model vacuum

DOI10.1063/1.2200880zbMath1111.58021arXivhep-th/0601192OpenAlexW3105116680MaRDI QIDQ3441806

John W. Barrett, Rachel A. Dawe Martins

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/0601192

Mathematics Subject Classification ID

Unified quantum theories (81V22) Gravitational interaction in quantum theory (81V17) Noncommutative geometry methods in quantum field theory (81T75) Applications of PDEs on manifolds (58J90) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (6)

Noncommutative geometry, topology, and the standard model vacuum ⋮ Lorentzian version of the noncommutative geometry of the standard model of particle physics ⋮ INTERNAL SPACE FOR THE NONCOMMUTATIVE GEOMETRY STANDARD MODEL AND STRINGS ⋮ Finite temperature corrections and embedded strings in noncommutative geometry and the standard model with neutrino mixing ⋮ CATEGORIFIED NONCOMMUTATIVE MANIFOLDS ⋮ NONCOMMUTATIVE FERMION MASS MATRIX AND GRAVITY

Cites Work

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• Gravity coupled with matter and the foundation of non-commutative geometry
• Classification of finite spectral triples
• The spectral action principle
• On the first-order operators in bimodules
• Gauge theory: Historical origins and some modern developments
• On the universal Chamseddine–Connes action. I. Details of the action computation
• Discrete spectral triples and their symmetries
• Noncommutative geometry and reality
• FERMION MASSES IN NONCOMMUTATIVE GEOMETRY

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