A gauge theory for shallow water
A gauge theory for shallow water
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DOI：
10.21468/scipostphys.14.5.102
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发表时间：
2022-09
期刊：
影响因子：
5.5
通讯作者：
D. Tong
中科院分区：
文献类型：
--
作者：
D. Tong
浅水方程描述了具有变化高度的薄层流体的水平流动。我们证明了方程可以改写为d=2+1d=2+1维阿贝尔规范理论。磁场对应于流体的守恒高度，而电荷对应于守恒涡度。在一定的线性近似下，浅水方程简化为相对论性Maxwell-Chern-Simons理论。这描述了庞加莱波。手征边缘模式的理论被确定为海岸开尔文波。
The shallow water equations describe the horizontal flow of a thin layer of fluid with varying height. We show that the equations can be rewritten as a d=2+1d=2+1 dimensional Abelian gauge theory. The magnetic field corresponds to the conserved height of the fluid, while the electric charge corresponds to the conserved vorticity. In a certain linearised approximation, the shallow water equations reduce to relativistic Maxwell-Chern-Simons theory. This describes Poincaré waves. The chiral edge modes of the theory are identified as coastal Kelvin waves.