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 θ-terms for the electroweak gauge fields.
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Bochniak, A., Sitarz, A. & Zalecki, P. Spectral action and the electroweak θ-terms for the Standard Model without fermion doubling. J. High Energ. Phys. 2021, 142 (2021). https://doi.org/10.1007/JHEP12(2021)142
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DOI: https://doi.org/10.1007/JHEP12(2021)142