Goldstone bosons in different PT-regimes of non-Hermitian scalar quantum field theories
Goldstone bosons in different PT-regimes of non-Hermitian scalar quantum field theories
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非厄米标量量子场论不同 PT 体系中的戈德斯通玻色子
DOI：
10.1016/j.nuclphysb.2019.114834
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发表时间：
2019
影响因子：
2.8
通讯作者：
Takanobu Taira
中科院分区：
文献类型：
--
作者：
A. Fring;Takanobu Taira
我们研究了一个新提出的一般类的非厄米量子场论包含复杂的和真实的标量场的混合物自发打破全球连续和离散的反线性对称性之间的相互作用。我们分析了不同类型的整体对称性保持和破缺真空的模型。此外，这些模型在由非标准同时电荷共轭、时间反转和宇称变换组成的各种类型的离散反线性对称性下是对称的; CPT。虽然整体对称性控制着无质量的戈德斯通玻色子的存在，但离散对称性控制着戈德斯通玻色子在模型及其物理机制中的原始场的精确表达。我们表明，即使CPT对称性在不同类型的真空周围展开的作用水平上被破缺，当对称性在树近似下保持并且破缺仅发生在高阶时，质谱可能仍然是真实的。我们讨论的参数空间中的一些模型在建议的类和识别物理制度中出现无质量的戈德斯通玻色子时，真空自发地打破了全球对称性或等价时，相应的诺特电流守恒。物理区域以不同的方式由例外点界定。在参数空间中存在一些特殊的点，在这些点上，无质量玻色子可能在整体对称性破缺之前就已经出现了。然而，当整体对称性在这些点被破坏时，它们就不再能与真正的戈德斯通玻色子区分开来。
We study the interplay between spontaneously breaking global continuous and discrete antilinear symmetries in a newly proposed general class of non-Hermitian quantum field theories containing a mixture of complex and real scalar fields. We analyse the model for different types of global symmetry preserving and breaking vacua. In addition, the models are symmetric under various types of discrete antilinear symmetries composed out of nonstandard simultaneous charge conjugations, time-reversals and parity transformations; CPT. While the global symmetry governs the existence of massless Goldstone bosons, the discrete one controls the precise expression of the Goldstone bosons in terms of the original fields in the model and its physical regimes. We show that even when the CPT-symmetries are broken on the level of the action expanded around different types of vacua, the mass spectra might still be real when the symmetry is preserved at the tree approximation and the breaking only occurs at higher order. We discuss the parameter space of some of the models in the proposed class and identify physical regimes in which massless Goldstone bosons emerge when the vacuum spontaneously breaks the global symmetry or equivalently when the corresponding Noether currents are conserved. The physical regions are bounded by exceptional points in different ways. There exist special points in parameter space for which massless bosons may occur already before breaking the global symmetry. However, when the global symmetry is broken at these points they can no longer be distinguished from genuine Goldstone bosons.
非厄米场论中的自发对称破缺和戈德斯通定理
影响因子：
5
作者：
Alexandre J
通讯作者：
Alexandre J
非厄米场论中的对称性和守恒定律
影响因子：
5
作者：
Alexandre J
通讯作者：
Alexandre J