Twisted spectral triples and quantum statistical mechanical systems

DOI10.1134/S2070046614020010zbMath1315.58006arXiv1305.5492MaRDI QIDQ2263133

Yanyan Li

Publication date: 17 March 2015

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.5492

zbMATH Keywords

Schottky uniformizationquantum statistical mechanicstwisted spectral triplesRiemann gas

Mathematics Subject Classification ID

Noncommutative geometry methods in quantum field theory (81T75) Quantum equilibrium statistical mechanics (general) (82B10) Noncommutative geometry (à la Connes) (58B34)

Related Items (10)

Index map, \(\sigma\)-connections, and Connes-Chern character in the setting of twisted spectral triples ⋮ Type III representations and modular spectral triples for the noncommutative torus ⋮ Twisted spectral triple for the standard model and spontaneous breaking of the grand symmetry ⋮ \(p\)-adic mathematical physics: the first 30 years ⋮ Modular spectral triples and deformed Fredholm modules ⋮ Noncommutative geometry and conformal geometry: I. Local index formula and conformal invariants ⋮ Quantum statistical mechanics in arithmetic topology ⋮ On the scalar curvature for the noncommutative four torus ⋮ Ultrametricity in the theory of complex systems ⋮ On the Chern-Gauss-Bonnet theorem and conformally twisted spectral triples for \(C^*\)-dynamical systems

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