Noncommutative geometry, Grand Symmetry and twisted spectral triple

Conceptual and Technical Challenges for Quantum Gravity 2014 – Parallel session: Noncommutative Geometry and Quantum Gravity

Devastato, Agostino^1

Dipartimento di Fisica, Universitá di Napoli Federico II INFN, Sezione di Napoli, Monte S. Angelo, Via Cintia, Napoli

80126, Italy^1

关键词: Electroweak vacuum;    Experimental values;    Non-commutative geometry;    Scalar fields;    Standard model;    The standard model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/634/1/012008/pdf
DOI  :  10.1088/1742-6596/634/1/012008

来源: IOP

【 摘 要 】

In the noncommutative geometry approach to the standard model we discuss the possibility to derive the extra scalar field sv - initially suggested by particle physicist to stabilize the electroweak vacuum - from a "grand algebra" that contains the usual standard model algebra. We introduce the Connes-Moscovici twisted spectral triples for the Grand Symmetry model, to cure a technical problem, that is the appearance, together with the field sv, of unbounded vectorial terms. The twist makes these terms bounded, and also permits to understand the breaking making the computation of the Higgs mass compatible with the 126 GeV experimental value.