Non-Hermiticity: a new paradigm for model building in particle physics
by
1423 in building 1
KIAS
Title: Non-Hermiticity: a new paradigm for model building in particle physics
Speaker: Dr Peter Millington (University of Nottingham)
Abstract: 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 [1]. I will describe their crucial discrete symmetries and how continuous symmetry properties are borne out, including Noether's theorem [2], the Goldstone theorem [3] and the Englert-Brout-Higgs mechanism [4,5]. As examples, I will describe non-Hermitian deformations of (scalar) QED [4], the Higgs-Yukawa theory [6] and flavour oscillations [7], illustrating the potential implications of non-Hermitian model building for the neutrino sector [6]. I will also discuss a supersymmetric non-Hermitian model [8]. Together, these results pave the way for a systematic programme for building non-Hermitian extensions of the Standard Model of particle physics.
[1] M. N. Chernodub and P. Millington, arXiv:2110.05289.
[2] J. Alexandre, P. Millington, D. Seynaeve, Phys. Rev. D 96, 065027 (2017).
[3] J. Alexandre, J. Ellis, P. Millington, D. Seynaeve, Phys. Rev. D 98, 045001 (2018).
[4] J. Alexandre, J. Ellis, P. Millington, D. Seynaeve, Phys. Rev. D 99, 075024 (2019).
[5] J. Alexandre, J. Ellis, P. Millington, D. Seynaeve, Phys. Rev. D 101, 035008 (2020).
[6] J. Alexandre, C. M. Bender, P. Millington, J. High Energy Phys. JHEP11(2015)111.
[7] J. Alexandre, J. Ellis, P. Millington, Phys. Rev. D 102, 125030 (2020).
[8] J. Alexandre, J. Ellis, P. Millington, Phys. Rev. D 101, 085015 (2020).
