Lattice gauge fields and noncommutative geometry

DOI10.1016/S0393-0440(97)00017-XzbMath0933.58006arXivhep-lat/9604012OpenAlexW1968573959MaRDI QIDQ1299220

Fedele Lizzi, Aiyalam P. Balachandran, Giuseppe Bimonte, Paulo Teotonio-Sobrinho, Giovanni Landi

Publication date: 29 March 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-lat/9604012

zbMATH Keywords

noncommutative geometryChern-Simons termslattice gauge theoriestopological actionsgeometry and topology of complexes

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Noncommutative geometry (à la Connes) (58B34)

Related Items

DIRAC–KÄHLER FERMION FROM CLIFFORD PRODUCT WITH NONCOMMUTATIVE DIFFERENTIAL FORM ON A LATTICE, Noncommutative differential calculus and the axial anomaly in abelian lattice gauge theories, Fuzzy \({\mathbb C}P^2\).

Cites Work

• Topological gauge theories and group cohomology
• Connes' noncommutative differential geometry and the standard model
• Topology change and quantum physics
• Topology of lattice gauge fields
• Self-intersection numbers and random surfaces on the lattice
• Noncommutative lattices as finite approximations
• Topologimeter and the problem of physical interpretation of topology lattice
• Finite approximations to quantum physics: quantum points and their bundles
• Noncommutative lattices and their continuum limits
• Noncommutative differential calculus and lattice gauge theory
• Particle models and noncommutative geometry
• Chern-Simons on a lattice
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