非相对论性自发对称性破缺中的级联多临界性
Cascading Multicriticality in Nonrelativistic Spontaneous Symmetry Breaking
摘要：
在没有Lorentz不变性的情况下，自发全局对称破缺可以导致具有高阶低能色散$ω\sim k^n$（$n=2,3,\ldots$）的多临界Nambu-Goldstone模，其自然性受到多项式移位对称性的保护.在这里，我们调查的作用，红外发散和非相对论推广的科尔曼-霍恩伯格-Mermin-瓦格纳（CHMW）定理。我们发现新的级联现象与大的层次之间的尺度，在该值的$n$的变化，导致规避的“不去”的相对论CHMW定理的后果。
英文摘要：
Without Lorentz invariance, spontaneous global symmetry breaking can lead to multicritical Nambu-Goldstone modes with a higher-order low-energy dispersion $ω\sim k^n$ ($n=2,3,\ldots$), whose naturalness is protected by polynomial shift symmetries. Here we investigate the role of infrared divergences and the nonrelativistic generalization of the Coleman-Hohenberg-Mermin-Wagner (CHMW) theorem. We find novel cascading phenomena with large hierarchies between the scales at which the value of $n$ changes, leading to an evasion of the "no-go" consequences of the relativistic CHMW theorem.
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