Speaker
Description
Non-Hermitian quantum theories have been applied in many other areas of physics. In this talk, I will review recent developments in the formulation of non-Hermitian quantum field theories, highlighting features that are unique compared to Hermitian theories. I will describe their crucial discrete symmetries and how continuous symmetry properties are borne out, including Noether's theorem [1], the Goldstone theorem [2] and the Englert-Brout-Higgs mechanism [3,4]. As examples, I will describe non-Hermitian deformations of QED, the Higgs-Yukawa theory [5] and flavour oscillations [6], illustrating the potential implications of non-Hermitian model building for the neutrino sector [5]. Together, these results pave the way for a systematic programme for building non-Hermitian extensions of the Standard Model of particle physics.
[1] J. Alexandre, P. Millington, D. Seynaeve, Phys. Rev. D 96, 065027 (2017).
[2] J. Alexandre, J. Ellis, P. Millington, D. Seynaeve, Phys. Rev. D 98, 045001 (2018).
[3] J. Alexandre, J. Ellis, P. Millington, D. Seynaeve, Phys. Rev. D 99, 075024 (2019).
[4] J. Alexandre, J. Ellis, P. Millington, D. Seynaeve, Phys. Rev. D 101, 035008 (2020).
[5] J. Alexandre, C. M. Bender, P. Millington, J. High Energy Phys. JHEP11(2015)111.
[6] J. Alexandre, J. Ellis, P. Millington, Phys. Rev. D 102, 125030 (2020).
| First author | Peter Millington |
|---|---|
| p.millington@nottingham.ac.uk | |
| Collaboration / Activity | N/A |
