Cyclic cocycles in the spectral action
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Publication:2105641
DOI10.4171/JNCG/500MaRDI QIDQ2105641
Teun D. H. van Nuland, Walter D. van Suijlekom
Publication date: 8 December 2022
Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.09899
Yang-Mills actionnoncommutative differential geometrymultiple operator integralsspectral action principleChern-Simons actionentire cyclic cocycles
Noncommutative differential geometry (46L87) Perturbation theory of linear operators (47A55) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)
Related Items (3)
Approximation of the spectral action functional in the case of \(\tau\)-compact resolvents ⋮ Spectral shift for relative Schatten class perturbations ⋮ Non-commutative geometry and cyclic homology. Abstracts from the workshop held July 31 -- August 6, 2022
Cites Work
- Unnamed Item
- Unnamed Item
- Spectral shift function of higher order
- Gravity coupled with matter and the foundation of non-commutative geometry
- Inner fluctuations of the spectral action
- (Second) Quantised resolvents and regularised traces
- Non-commutative differential geometry
- Entire cyclic cohomology of Banach algebras and characters of \(\theta\)- summable Fredholm modules
- On the Chern character of a theta-summable Fredholm module
- The spectral action principle
- Trace formulas for relative Schatten class perturbations
- Asymptotic expansions for trace functionals
- Perturbations and operator trace functions
- Gravity and the standard model with neutrino mixing
- Operator Integrals, Spectral Shift, and Spectral Flow
- Unbounded Fredholm Modules and Spectral Flow
- Universal Formula for Noncommutative Geometry Actions: Unification of Gravity and the Standard Model
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