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

被引：31

作者：

Alexandre, Jean ^{[1
]}

Ellis, John ^{[1
,2
,3
]}

Millington, Peter ^{[4
]}

Seynaeve, Dries ^{[1
]}

机构：

[1] Kings Coll London, Dept Phys, London WC2R 2LS, England

[2] NICPB, Ravala 10, EE-10143 Tallinn, Estonia

[3] CERN, Theoret Phys Dept, CH-1211 Geneva 23, Switzerland

[4] Univ Nottingham, Sch Phys & Astron, Nottingham NG7 2RD, England

来源：

PHYSICAL REVIEW D | 2019年 / 99卷 / 07期

关键词：

BROKEN SYMMETRIES;

D O I：

10.1103/PhysRevD.99.075024

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We discuss PT-symmetric Abelian gauge field theories as well as their extension to the Englert-BroutHiggs 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-BroutHiggs 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.

引用

页数：9

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