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

by Dr Peter Millington (University of Nottingham)

Tuesday 7 Dec 2021, 17:00 → 18:30 Asia/Seoul

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).

Slides

Video