Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 56, Issue 15, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1751-8121/acc146
Keywords
Standard Model; spectral triple; Wick rotation
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This article discusses the applications of twisted spectral triples to the Standard Model. The initial motivation was to generate a scalar field that could stabilize the electroweak vacuum and fit the Higgs mass while satisfying the first-order condition. Ultimately, the most significant aspect of the twist lies in a new field of 1-forms related to the transition from Euclidean to Lorentzian signature.
We review the applications of twisted spectral triples to the Standard Model. The initial motivation was to generate a scalar field, required to stabilise the electroweak vacuum and fit the Higgs mass, while respecting the first-order condition. Ultimately, it turns out that the truest interest of the twist lies in a new-and unexpected-field of 1-forms, which is related to the transition from Euclidean to Lorentzian signature.
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