Spectral torsion of the internal noncommutative geometry of the Standard Model
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918255995650048 |
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| author | Dąbrowski, Ludwik Mukhopadhyay, Sugato Požar, Filip |
| author_facet | Dąbrowski, Ludwik Mukhopadhyay, Sugato Požar, Filip |
| contents | We compute the nonvanishing spectral torsion functional of the internal part of the noncommutative geometry behind the Standard Model. We show that with a suitable modification of the usual differential graded calculus it matches an analogous functional constructed in terms of the connection. We study also the impact of the torsion on the other spectral fuctionals, which correspond to geometric invariants such as volume integral, metric and Einstein tensors, and scalar curvature. We discuss the impact of the SM Yukawa couplings and the Majorana mass matrix on our results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_08159 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral torsion of the internal noncommutative geometry of the Standard Model Dąbrowski, Ludwik Mukhopadhyay, Sugato Požar, Filip High Energy Physics - Theory Mathematical Physics Quantum Algebra We compute the nonvanishing spectral torsion functional of the internal part of the noncommutative geometry behind the Standard Model. We show that with a suitable modification of the usual differential graded calculus it matches an analogous functional constructed in terms of the connection. We study also the impact of the torsion on the other spectral fuctionals, which correspond to geometric invariants such as volume integral, metric and Einstein tensors, and scalar curvature. We discuss the impact of the SM Yukawa couplings and the Majorana mass matrix on our results. |
| title | Spectral torsion of the internal noncommutative geometry of the Standard Model |
| topic | High Energy Physics - Theory Mathematical Physics Quantum Algebra |
| url | https://arxiv.org/abs/2511.08159 |