GAUGE FIELDS ON THE FUZZY SPHERE

DOI10.1142/S0217732303012660zbMath1086.81525MaRDI QIDQ5704703

P. Prešnajder

Publication date: 15 November 2005

Published in: Modern Physics Letters A (Search for Journal in Brave)

zbMATH Keywords

Dirac operatorgauge fieldfuzzy sphere

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Fuzzy operator theory (47S40)

Related Items (11)

Non-constant non-commutativity in 2d field theories and a new look at fuzzy monopoles ⋮ Equivariant reduction of Yang-Mills theory over the fuzzy sphere and the emergent vortices ⋮ Localization for Yang-Mills theory on the fuzzy sphere ⋮ IMPACT OF SUPERSYMMETRY ON EMERGENT GEOMETRY IN YANG–MILLS MATRIX MODELS II ⋮ DIRAC THEORY ON A SPACE WITH LINEAR LIE TYPE FUZZINESS ⋮ GAUGE THEORY ON A SPACE WITH LINEAR LIE TYPE FUZZINESS ⋮ Quantum mechanics on space with \(SU(2)\) fuzziness ⋮ Field theory amplitudes in a space with \(SU(2)\) fuzziness ⋮ Central force problem in space with \(\mathrm{SU}(2)\) Poisson structure ⋮ Remarks on the eigenvalues distributions of D≤4 Yang–Mills matrix models ⋮ Closedness of orbits in a space with SU(2) Poisson structure

Cites Work

• General concept of quantization
• A noncommutative regularization of the Schwinger model
• The origin of chiral anomaly and the noncommutative geometry
• The commutative limit of a matrix geometry
• Spectrum of Schrödinger field in a noncommutative magnetic monopole

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