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arXiv · 2311.15422

Automated Ring-Diagram Framework for Classifying CP Invariants

Neda Darvishi·Yining Wang·Jiang-Hao Yu
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Abstract

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-Poincar\'e 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.

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Neda Darvishi, Yining Wang, Jiang-Hao Yu. 2023-11-26. Automated Ring-Diagram Framework for Classifying CP Invariants. https://doi.org/10.1103/physrevd.108.115030

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