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arXiv · 2106.10890

Spectral action and the electroweak $\theta$-terms for the Standard Model without fermion doubling

Arkadiusz Bochniak·Paweł Zalecki·Andrzej Sitarz
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Abstract

We compute the leading terms of the spectral action for a noncommutative geometry model that has no fermion doubling. The spectral triple describing it, which is chiral and allows for CP-symmetry breaking, has the Dirac operator that is not of the product type. Using Wick rotation we derive explicitly the Lagrangian of the model from the spectral action for a flat metric, demonstrating the appearance of the topological $\theta$-terms for the electroweak gauge fields.

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Arkadiusz Bochniak, Paweł Zalecki, Andrzej Sitarz. 2021-06-21. Spectral action and the electroweak $\theta$-terms for the Standard Model without fermion doubling. https://doi.org/10.1007/jhep12(2021)142

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