Twisted spectral geometry for the standard model

In noncommutative geometry, the spectral triple of a manifold does not generate bosonic fields, for fluctuations of the Dirac operator vanish. A Connes-Moscovici twist forces the commutative algebra to be multiplied by matrices. Keeping the space of spinors untouched, twisted-fluctuations then yield...

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Bibliographic Details
Published in:Journal of physics. Conference series Vol. 626; no. 1; pp. 12044 - 12051
Main Author: Martinetti, Pierre
Format: Journal Article
Language:English
Published: Bristol IOP Publishing 03.07.2015
Subjects:
Boson fields
Operators (mathematics)
Perturbation
Physics
Scalars
Spectra
ISSN:1742-6588, 1742-6596
Online Access:Get full text
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Summary:In noncommutative geometry, the spectral triple of a manifold does not generate bosonic fields, for fluctuations of the Dirac operator vanish. A Connes-Moscovici twist forces the commutative algebra to be multiplied by matrices. Keeping the space of spinors untouched, twisted-fluctuations then yield perturbations of the spin connection. Applied to the spectral triple of the Standard Model, a similar twist yields the scalar field needed to stabilize the vacuum and to make the computation of the Higgs mass compatible with its experimental value.
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ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/626/1/012044