Consistent description of field theories with non-Hermitian mass terms

被引:12
作者
Alexandre, Jean [1 ]
Millington, Peter [2 ]
Seynaeve, Dries [1 ]
机构
[1] Kings Coll London, Dept Phys, London WC2R 2LS, England
[2] Univ Nottingham, Sch Phys & Astron, Nottingham NG7 2RD, England
来源
INTERNATIONAL WORKSHOP ON CPT AND LORENTZ SYMMETRY IN FIELD THEORY | 2018年 / 952卷
关键词
D O I
10.1088/1742-6596/952/1/012012
中图分类号
O59 [应用物理学];
学科分类号
摘要
We review how to describe a field theory that includes a non-Hermitian mass term in the region of parameter space where the Lagrangian is PT-symmetric. The discrete symmetries of the system are essential for understanding the consistency of the model, and the link between conserved current and variation of the Lagrangian has to be revisited in the case of continuous symmetries.
引用
收藏
页数:5
相关论文
共 8 条
[1]   Light neutrino masses from a non-Hermitian Yukawa theory [J].
Alexandre, J. ;
Bender, C. M. ;
Millington, P. .
FIFTH SYMPOSIUM ON PROSPECTS IN THE PHYSICS OF DISCRETE SYMMETRIES, 2017, 873
[2]   Symmetries and conservation laws in non-Hermitian field theories [J].
Alexandre, Jean ;
Millington, Peter ;
Seynaeve, Dries .
PHYSICAL REVIEW D, 2017, 96 (06)
[3]   Non-Hermitian extension of gauge theories and implications for neutrino physics [J].
Alexandre, Jean ;
Bender, Carl M. ;
Millington, Peter .
JOURNAL OF HIGH ENERGY PHYSICS, 2015, (11) :1-24
[4]   Foldy-Wouthuysen transformation for non-Hermitian Hamiltonians [J].
Alexandre, Jean ;
Bender, Carl M. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (18) :1-8
[5]   Dual PT-symmetric quantum field theories [J].
Bender, CM ;
Jones, HF ;
Rivers, RJ .
PHYSICS LETTERS B, 2005, 625 (3-4) :333-340
[6]   Introduction to PT-symmetric quantum theory [J].
Bender, CM .
CONTEMPORARY PHYSICS, 2005, 46 (04) :277-292
[7]   The Nielsen-Ninomiya theorem, PT -invariant non-Hermiticity and single 8-shaped Dirac cone [J].
Chernodub, M. N. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 50 (38)
[8]   Non-Hermitian quantum Hamiltonians with PT symmetry [J].
Jones-Smith, Katherine ;
Mathur, Harsh .
PHYSICAL REVIEW A, 2010, 82 (04)