Non-Hermiticity: a new paradigm for model building in particle physics

Millington, Peter

Abstract

Non-Hermitian quantum theories have been applied in many other areas of physics. In this note, I will briefly review recent developments in the formulation of non-Hermitian quantum field theories, highlighting features that are unique compared to Hermitian theories. I will touch upon their crucial discrete symmetries and how continuous symmetry properties are borne out, including Noether's theorem, the Goldstone theorem and the Englert-Brout-Higgs mechanism. As examples, I will describe a non-Hermitian supersymmetric theory, and draw attention to non-Hermitian deformations of (scalar) QED, the Higgs-Yukawa theory and flavour oscillations, with potential implications for non-Hermitian model building in the neutrino sector. Together, these results pave the way for a systematic programme for building non-Hermitian extensions of the Standard Model of particle physics.

Citation

Millington, P. (2022). Non-Hermiticity: a new paradigm for model building in particle physics. Proceedings of Science, 398, Article 735. https://doi.org/10.22323/1.398.0735

• Presentation Conference Type: Conference Paper (published)
• Conference Name: The European Physical Society Conference on High Energy Physics (EPS-HEP2021)
• Acceptance Date: Feb 17, 2022
• Online Publication Date: Feb 17, 2022
• Publication Date: Feb 17, 2022
• Deposit Date: Feb 18, 2022
• Publicly Available Date: Feb 22, 2022
• Electronic ISSN: 1824-8039
• Publisher: Sissa Medialab
• Peer Reviewed: Peer Reviewed
• Volume: 398
• Article Number: 735
• DOI: https://doi.org/10.22323/1.398.0735
• Public URL: https://nottingham-repository.worktribe.com/output/7473395
• Publisher URL: https://pos.sissa.it/398/735/
• Additional Information: Online conference jointly organized by Universität Hamburg and the research center DESY