A nonperturbative form of the spectral action principle in noncommutative geometry

DOI10.1016/S0393-0440(97)00062-4zbMath0935.58006arXivhep-th/9701179MaRDI QIDQ1299243

Héctor Figueroa, Fedele Lizzi, José M. Gracia-Bondía, Joseph C. Várilly

Publication date: 15 May 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9701179

zbMATH Keywords

noncommutative geometryEinstein gravityspectral action principlesuperconnectionsbosonic action functionalStandard Model Yang-Mills-Higgs terms

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of global analysis to the sciences (58Z05) Noncommutative geometry (à la Connes) (58B34)

Related Items (9)

Gauge theories of Dirac type ⋮ INTERNAL SPACE FOR THE NONCOMMUTATIVE GEOMETRY STANDARD MODEL AND STRINGS ⋮ A reconstruction theorem for almost-commutative spectral triples ⋮ A survey of spectral models of gravity coupled to matter ⋮ Differential forms and the noncommutative residue ⋮ Noncommutative gravity solutions ⋮ Diffeomorphisms and orthonormal frames ⋮ Introduction to M(atrix) theory and noncommutative geometry ⋮ Path integral quantisation of finite noncommutative geometries

Cites Work

• Gravity coupled with matter and the foundation of non-commutative geometry
• Superconnections and the Chern character
• Curvature phase transition in \(\mathbb{R}^ 2\) quantum gravity and induction of Einstein gravity
• Connes' noncommutative differential geometry and the standard model
• The Dirac operator and gravitation
• The spectral action principle
• On summability of distributions and spectral geometry
• Gravity, non-commutative geometry and the Wodzicki residue
• Quantum electrodynamics in external fields from the spin representation
• On the universal Chamseddine–Connes action. I. Details of the action computation
• Universal Formula for Noncommutative Geometry Actions: Unification of Gravity and the Standard Model
• General Relativity in Terms of Dirac Eigenvalues
• Noncommutative geometry and reality
• A remark on trace properties of K-cycles
• Superconnections and internal supersymmetry dynamics.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A nonperturbative form of the spectral action principle in noncommutative geometry