Fermion integrals for finite spectral triples

DOI10.1088/1751-8121/ad82baMaRDI QIDQ6633644

John W. Barrett

Publication date: 6 November 2024

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

zbMATH Keywords

noncommutative geometryspectral triplesfermion integrals

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Unnamed Item
• The Dirac operator on the fuzzy sphere
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• Monte Carlo simulations of random non-commutative geometries
• Lorentzian version of the noncommutative geometry of the standard model of particle physics
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• Gamma matrices, Majorana fermions, and discrete symmetries in Minkowski and Euclidean signature
• Spectral estimators for finite non-commutative geometries
• Bootstrapping Dirac ensembles
• Scaling behaviour in random non-commutative geometries
• From noncommutative geometry to random matrix theory
• Phase transition in random noncommutative geometries
• Spectral statistics of Dirac ensembles
• Double scaling limits of Dirac ensembles and Liouville quantum gravity
• Random finite noncommutative geometries and topological recursion

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