Pythagoras's theorem on a two-dimensional lattice from a `natural' Dirac operator and Connes's distance formula

DOI10.1088/0305-4470/34/27/307zbMath0985.46043arXivhep-th/0101092OpenAlexW3101870625MaRDI QIDQ2757874

Jian Dai, Xing-Chang Song

Publication date: 5 December 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0101092

zbMATH Keywords

noncommutative geometryDirac operatorConnes' distancePythagoras's theorem

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Quantum field theory on lattices (81T25) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34)

Related Items

Noncommutative geometry of the Moyal plane: translation isometries, Connes' distance on coherent states, Pythagoras equality ⋮ From Monge to Higgs: a survey of distance computations in noncommutative geometry