Gauge invariance and the Englert-Brout-Higgs mechanism in non-Hermitian field theories
| Autor: | Jonathan Richard Ellis, Dries Seynaeve, Jean Alexandre, Peter Millington |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
High Energy Physics - Theory
Field (physics) High Energy Physics::Lattice FOS: Physical sciences 01 natural sciences Vector boson Theoretical physics symbols.namesake High Energy Physics - Phenomenology (hep-ph) 0103 physical sciences Gauge theory 010306 general physics Particle Physics - Phenomenology Physics 010308 nuclear & particles physics hep-th High Energy Physics::Phenomenology hep-ph Coupling (probability) Hermitian matrix High Energy Physics - Phenomenology Standard Model (mathematical formulation) Lorenz gauge condition High Energy Physics - Theory (hep-th) symbols Higgs mechanism Particle Physics - Theory |
| Zdroj: | 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 (Particles, Fields, Gravitation and Cosmology), vol. 99, no. 7, 075024 . https://doi.org/10.1103/PhysRevD.99.075024 Physical Review |
| ISSN: | 2470-0010 2470-0029 |
| DOI: | 10.1103/PhysRevD.99.075024 |
| Popis: | 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. 19 pages |
| Databáze: | OpenAIRE |
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