论文标题
不稳定的Nambu-Goldstone模式
Unstable Nambu-Goldstone modes
论文作者
论文摘要
在存在背景场的情况下，用于0形式和更高形式对称性的NAMBU-GOLDSTONE（NG）模式可能变得不稳定。例子包括具有时间依赖于时间轴承背景的光子或手性失衡（称为手性血浆不稳定性）的不稳定性，以及具有背景电场的动力轴的不稳定性。我们表明，所有这些现象可以通过对称代数为0形式和更高形式的对称性来普遍描述。我们证明，根据破碎的对称发生器的相关函数，对不稳定的NG模式的数量进行了计数规则。基于我们的统一描述，我们进一步给出了一个简单的新示例，其中一种NG模式与自发的0形式对称破坏$ u（1）\ times U（1）\ to \ {1 \} $变得不稳定。
Nambu-Goldstone (NG) modes for 0-form and higher-form symmetries can become unstable in the presence of background fields. Examples include the instability of a photon with a time-dependent axion background or with a chirality imbalance, known as the chiral plasma instability, and the instability of a dynamical axion with a background electric field. We show that all these phenomena can be universally described by a symmetry algebra for 0-form and higher-form symmetries. We prove a counting rule for the number of unstable NG modes in terms of correlation functions of broken symmetry generators. Based on our unified description, we further give a simple new example where one of the NG modes associated with the spontaneous 0-form symmetry breaking $U(1) \times U(1) \to \{1\}$ becomes unstable.
