dorsal/arxiv
View SchemaDifferential Calculus on Fuzzy Sphere and Scalar Field
| Authors | Ursula Carow-Watamura, Satoshi Watamura |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9710034 |
| URL | https://arxiv.org/abs/q-alg/9710034 |
| DOI | 10.1142/S0217751X9800161X |
| Journal | Int.J.Mod.Phys. A13 (1998) 3235-3244 |
Abstract
We find that there is an alternative possibility to define the chirality operator on the fuzzy sphere, due to the ambiguity of the operator ordering. Adopting this new chirality operator and the corresponding Dirac operator, we define Connes' spectral triple on the fuzzy sphere and the differential calculus. The differential calculus based on this new spectral triple is simplified considerably. Using this formulation the action of the scalar field is derived.
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"abstract": "We find that there is an alternative possibility to define the chirality\noperator on the fuzzy sphere, due to the ambiguity of the operator ordering.\nAdopting this new chirality operator and the corresponding Dirac operator, we\ndefine Connes\u0027 spectral triple on the fuzzy sphere and the differential\ncalculus. The differential calculus based on this new spectral triple is\nsimplified considerably. Using this formulation the action of the scalar field\nis derived.",
"arxiv_id": "q-alg/9710034",
"authors": [
"Ursula Carow-Watamura",
"Satoshi Watamura"
],
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"doi": "10.1142/S0217751X9800161X",
"journal_ref": "Int.J.Mod.Phys. A13 (1998) 3235-3244",
"title": "Differential Calculus on Fuzzy Sphere and Scalar Field",
"url": "https://arxiv.org/abs/q-alg/9710034"
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