论文标题

扭曲光谱三重的动作和从欧几里得向洛伦兹的过渡

Actions for twisted spectral triple and the transition from the Euclidean to the Lorentzian

论文作者

Devastato, Agostino, Filaci, Manuele, Martinetti, Pierre, Singh, Devashish

论文摘要

这是对Connes的非交通性几何形状在标准模型及以后应用的最新结果的评论。通过扭曲(从Connes-Moscovici的意义上),标准模型的光谱三重,不仅获得了稳定电动真空吸尘器的额外标量场,而且还获得了一个意外的1型字段。通过计算费米子动作,我们展示了该领域如何诱导从欧几里得向洛伦兹签名的过渡。还简要提到了有关光谱动作的扭曲版本的提示。

This is a review of recent results regarding the application of Connes' noncommutative geometry to the Standard Model, and beyond. By twisting (in the sense of Connes-Moscovici) the spectral triple of the Standard Model, one does not only get an extra scalar field which stabilises the electroweak vacuum, but also an unexpected 1-form field. By computing the fermionic action, we show how this field induces a transition from the Euclidean to the Lorentzian signature. Hints on a twisted version of the spectral action are also briefly mentioned.

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