Topological mass generation in gapless systems

Topological mass generation in gapless systems
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无间隙系统中的拓扑质量生成

DOI:
10.1103/physrevd.104.025010
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发表时间:
2021
期刊:
影响因子:
5
通讯作者:
Ryo Yokokura
Ryo Yokokura
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Naoki Yamamoto;Ryo Yokokura

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规范场的质量生成可以普遍地用能隙系统中的拓扑耦合来描述,如()维的阿贝尔Higgs模型和()维的Maxwell-Chern-Simons理论。这些系统也表现出自发破缺的高形式对称性和拓扑秩序的水平。在本文中,我们考虑拓扑质量产生的无隙系统。作为一个典型的例子,我们研究了具有levelin()维的轴子电动力学在背景场,主机的gapped和gapless模式。我们认为,能隙模式是与那些在低维完全能隙系统通过降维。我们发现,尽管没有传统的拓扑秩序,该系统表现出自发破缺的一个更高形式的对称性。在有背景磁场的情况下,我们还导出了具有二次色散关系的无带隙模的低能有效理论,并证明了它满足手征反常匹配。
Mass generation of gauge fields can be universally described by topological couplings in gapped systems, such as the Abelian Higgs model in () dimensions and the Maxwell-Chern-Simons theory in () dimensions. These systems also exhibit the spontaneous breaking of higher-formsymmetries and topological orders for level. In this paper, we consider topological mass generation in gapless systems. As a paradigmatic example, we study the axion electrodynamics with levelin () dimensions in background fields that hosts both gapped and gapless modes. We argue that the gapped mode is related to those in fully gapped systems in lower dimensions via dimensional reduction. We show that this system exhibits the spontaneous breaking of a higher-formsymmetry despite the absence of the conventional topological order. In the case of the background magnetic field, we also derive the low-energy effective theory of the gapless mode with the quadratic dispersion relation and show that it satisfies the chiral anomaly matching.
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