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Gauge invariance and the Englert-Brout-Higgs mechanism in non-Hermitian field theories

Authors :
Alexandre, Jean
Ellis, John
Millington, Peter
Seynaeve, Dries
Source :
Phys. Rev. D 99, 075024 (2019)
Publication Year :
2018

Abstract

We discuss $\mathcal{PT}$-symmetric Abelian gauge field theories, as well as their extension to the Englert-Brout-Higgs mechanism for generating a mass for a vector boson. Gauge invariance is not straightforward, and we discuss the different related problems, as well as a solution which consists in coupling the gauge field to a current that is not conserved. Non-Hermiticity then necessarily precludes the Lorenz gauge condition but nevertheless allows for a consistent formulation of the theory. We therefore generalise the Englert-Brout-Higgs mechanism to $\mathcal{PT}$-symmetric field theories, opening the way to constructing non-Hermitian extensions of the Standard Model and new scenarios for particle model-building.<br />Comment: 19 pages

Details

Database :
arXiv
Journal :
Phys. Rev. D 99, 075024 (2019)
Publication Type :
Report
Accession number :
edsarx.1808.00944
Document Type :
Working Paper
Full Text :
https://doi.org/10.1103/PhysRevD.99.075024