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

Alexandre, Jean; Ellis, John; Millington, Peter; Seynaeve, Dries

Authors

Jean Alexandre

John Ellis

Dries Seynaeve



Abstract

We discuss 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 generalize the Englert-Brout-Higgs mechanism to PT-symmetric field theories, opening the way to constructing non-Hermitian extensions of the Standard Model and new scenarios for particle model building.

Journal Article Type Article
Publication Date Apr 19, 2019
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 99
Issue 7
Article Number 075024
Pages 1-9
APA6 Citation Alexandre, J., Ellis, J., Millington, P., & Seynaeve, D. (2019). Gauge invariance and the Englert-Brout-Higgs mechanism in non-Hermitian field theories. Physical Review D, 99(7), 1-9. https://doi.org/10.1103/physrevd.99.075024
DOI https://doi.org/10.1103/physrevd.99.075024
Publisher URL https://journals.aps.org/prd/abstract/10.1103/PhysRevD.99.075024

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