Understanding truncated non-commutative geometries through computer simulations
DOI10.1063/1.5131864zbMath1439.81064arXiv1909.08054OpenAlexW3010962889MaRDI QIDQ5110788
Publication date: 22 May 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.08054
noncommutative geometryasymptotic analysiscomputer simulationquantization effectsquantum gravity theoryrenormalization and regularization
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Perturbations in context of PDEs (35B20) Methods of noncommutative geometry in general relativity (83C65) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)
Related Items
Cites Work
- Geometry and the quantum: basics
- The spectral geometry of the equatorial Podleś sphere
- Fuzzy complex projective spaces and their star-products
- Classification of finite spectral triples
- The spectral action principle
- Discrete approaches to quantum gravity in four dimensions
- Placement by thermodynamic simulated annealing
- Finite-rank approximations of spectral zeta residues
- The Dirac operator on the fuzzy sphere
- Metric properties of the fuzzy sphere
- On the spectral characterization of manifolds
- The spin-foam approach to quantum gravity
- Spectral geometry with a cut-off: topological and metric aspects
- Why the standard model
- Gravity and the standard model with neutrino mixing
- A short survey of noncommutative geometry
- Moduli Spaces of Dirac Operators for Finite Spectral Triples
- Matrix geometries and fuzzy spaces as finite spectral triples
- Monte Carlo simulations of random non-commutative geometries
- Spectral estimators for finite non-commutative geometries
- Scaling behaviour in random non-commutative geometries
- Noncommutative manifolds, the instanton algebra and isospectral deformations