Twisted spectral geometry for the standard model

[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.

[发布机构] Università di Trieste, via Valerio 12/1, I-34127, Italy^1

[效力级别] 力学 [学科分类] 力学，机械学

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