Gauge theories of Dirac type

DOI10.1063/1.2218673zbMath1112.81062arXivmath-ph/0503059OpenAlexW2110844734MaRDI QIDQ3441993

Torsten Thumstädter, Jürgen Tolksdorf

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/math-ph/0503059

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Symmetry breaking in quantum theory (81R40) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34)

Related Items (2)

On the square of first order differential operators of Dirac type and the Einstein-Hilbert action ⋮ Real Z2-bigradings, Majorana modules, and the standard model action

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gravity coupled with matter and the foundation of non-commutative geometry
• Noncommutative geometry and theoretical physics
• Superconnections and the Chern character
• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• The action functional in non-commutative geometry
• A nonperturbative form of the spectral action principle in noncommutative geometry
• Connes' noncommutative differential geometry and the standard model
• The spectral action principle
• (Bosonic) mass meets (extrinsic) curvature.
• (Fermionic) mass meets (intrinsic) curvature.
• Connes' model building kit
• Manifolds which cannot be leaves of foliations
• Yang-Mills-Higgs versus Connes-Lott
• The topology of the electroweak interaction
• The Einstein–Hilbert–Yang–Mills–Higgs action and the Dirac–Yukawa operator
• Noncommutative geometry and reality
• The gravitational sector in the Connes–Lott formulation of the standard model
• Spinor Structure of Space-Times in General Relativity. I
• Spinor Structure of Space-Times in General Relativity. II
• The Four-Dimensionality of Space and the Einstein Tensor
• The Asymptotics of The Laplacian on a Manifold with Boundary

This page was built for publication: Gauge theories of Dirac type