Dipole symmetries from the topology of the phase space and the constraints on the low-energy spectrum
Dipole symmetries from the topology of the phase space and the constraints on the low-energy spectrum
复制标题
DOI：
10.21468/scipostphys.16.2.051
复制
发表时间：
2023-03
期刊：
影响因子：
5.5
通讯作者：
T. Brauner;N. Yamamoto;Ryo Yokokura
中科院分区：
文献类型：
--
作者：
T. Brauner;N. Yamamoto;Ryo Yokokura
证明了玻色场论中局部偶极守恒律的普遍存在性。标量电荷密度来自系统的辛形式，而张量电流则来自其应力张量。空间平移的代数成为中心扩展的存在下的场配置与有限的非零电荷。此外，当辛形式是封闭的但不精确时，系统可能会令人惊讶地缺乏定义良好的动量密度。这导致了一个定理的存在下，额外的光模式在系统中，只要短距离物理是由一个几何不变的局部场论。我们还说明了这种机制的轴子电动力学作为一个例子的系统与南部戈德斯通模式的更高形式的对称性。
We demonstrate the general existence of a local dipole conservation law in bosonic field theory. The scalar charge density arises from the symplectic form of the system, whereas the tensor current descends from its stress tensor. The algebra of spatial translations becomes centrally extended in presence of field configurations with a finite nonzero charge. Furthermore, when the symplectic form is closed but not exact, the system may, surprisingly, lack a well-defined momentum density. This leads to a theorem for the presence of additional light modes in the system whenever the short-distance physics is governed by a translationally invariant local field theory. We also illustrate this mechanism for axion electrodynamics as an example of a system with Nambu-Goldstone modes of higher-form symmetries.