CONNES DISTANCE BY EXAMPLES: HOMOTHETIC SPECTRAL METRIC SPACES
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Publication:4649867
DOI10.1142/S0129055X12500274zbMath1256.46040arXiv1112.3285OpenAlexW3103445918MaRDI QIDQ4649867
Publication date: 15 November 2012
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.3285
Related Items (17)
Noncommutative field theories on \( \mathbb{R}_{\lambda}^3 \): towards UV/IR mixing freedom ⋮ Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences ⋮ Closed star product on noncommutative \(\mathbb R^{3}\) and scalar field dynamics ⋮ Noncommutative gauge theories on \( {{\mathbb{R}}}_{\lambda}^3 \): perturbatively finite models ⋮ Exact partition functions for gauge theories on \(\mathbb{R}_\lambda^3\) ⋮ Noncommutative geometry of the Moyal plane: translation isometries, Connes' distance on coherent states, Pythagoras equality ⋮ The Gromov-Hausdorff propinquity for metric spectral triples ⋮ Metric properties of the fuzzy sphere ⋮ Quantum causality in κ-Minkowski and related constraints ⋮ From Monge to Higgs: a survey of distance computations in noncommutative geometry ⋮ Quantum Metric Spaces and the Gromov-Hausdorff Propinquity ⋮ Metrics and causality on Moyal planes ⋮ Reconstructing manifolds from truncations of spectral triples ⋮ Single extra dimension from \(\kappa\)-Poincaré and gauge invariance ⋮ Noncommutative gauge theories on \( \mathbb{R}_{\theta}^2 \) as matrix models ⋮ The dual modular Gromov-Hausdorff propinquity and completeness ⋮ Quantum causality constraints on kappa-Minkowski space-time
Cites Work
- Unnamed Item
- Gravity coupled with matter and the foundation of non-commutative geometry
- Vanishing of beta function of non-commutative \(\Phi_4^4\) theory to all orders
- The spectral distance in the Moyal plane
- Carnot-Carathéodory metric and gauge fluctuation in noncommutative geometry
- Spectral distance on the circle
- On the vacuum states for non-commutative gauge theory
- One-loop beta functions for the orientable non-commutative Gross-Neveu model
- Noncommutative induced gauge theory
- Connes' distance function on one-dimensional lattices
- Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base
- The quantum structure of spacetime of the Planck scale and quantum fields
- Renormalization of the orientable non-commutative Gross-Neveu model
- MINIMAL LENGTH IN QUANTUM SPACE AND INTEGRATIONS OF THE LINE ELEMENT IN NONCOMMUTATIVE GEOMETRY
- The spectral action for Moyal planes
- Algebras of distributions suitable for phase-space quantum mechanics. I
- Algebras of distributions suitable for phase-space quantum mechanics. II. Topologies on the Moyal algebra
- Discrete Kaluza–Klein from scalar fluctuations in noncommutative geometry
- Noncommutative differential calculus and lattice gauge theory
- Induced gauge theory on a noncommutative space
- Disctances in finite spaces from noncommutative geometry
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