Twisted spectral geometry for the standard model

7th International Workshop DICE2014 Spacetime – Matter – Quantum Mechanics

物理学;力学

Martinetti, Pierre^1

Università di Trieste, via Valerio 12/1, I-34127, Italy^1

关键词: Bosonic fields;    Commutative algebra;    Dirac operators;    Experimental values;    Non-commutative geometry;    Scalar fields;    Spinors;    The standard model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/626/1/012044/pdf
DOI  :  10.1088/1742-6596/626/1/012044

学科分类：力学，机械学

来源: IOP

【 摘 要 】

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.