Automated Ring-Diagram Framework for Classifying CP Invariants
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910284515377152 |
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| author | Darvishi, Neda Wang, Yining Yu, Jiang-Hao |
| author_facet | Darvishi, Neda Wang, Yining Yu, Jiang-Hao |
| contents | In this study, we introduce a transformative, automated framework for classifying basis invariants in generic field theories. Utilising a novel ring-diagram methodology accompanied by the well-known Cayley-Hamilton theorem, our approach uniquely enables the identification of basic invariants and their CP-property characterisation. Critically, our framework also unveils previously concealed attributes of established techniques reliant on the Hilbert-Poincaré series and its associated Plethystic logarithm. This paradigm shift has broad implications for the deeper understanding and more accurate classification of CP invariants in generic field theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15422 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Automated Ring-Diagram Framework for Classifying CP Invariants Darvishi, Neda Wang, Yining Yu, Jiang-Hao High Energy Physics - Phenomenology High Energy Physics - Theory In this study, we introduce a transformative, automated framework for classifying basis invariants in generic field theories. Utilising a novel ring-diagram methodology accompanied by the well-known Cayley-Hamilton theorem, our approach uniquely enables the identification of basic invariants and their CP-property characterisation. Critically, our framework also unveils previously concealed attributes of established techniques reliant on the Hilbert-Poincaré series and its associated Plethystic logarithm. This paradigm shift has broad implications for the deeper understanding and more accurate classification of CP invariants in generic field theories. |
| title | Automated Ring-Diagram Framework for Classifying CP Invariants |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2311.15422 |