论文标题

流体动力学有效场理论具有离散旋转对称性

Hydrodynamic effective field theories with discrete rotational symmetry

论文作者

Huang, Xiaoyang, Lucas, Andrew

论文摘要

我们开发了用于用电荷,能量和动量保护的流体的Schwinger-keldysh轮廓上的流体动力学有效场理论,但仅是离散的旋转对称性。在两个空间维度的一些简单示例中详细介绍了各向异性对热力学和一阶耗散流体动力学的后果,但是我们的构造扩展到任何空间维度和任何旋转组(离散或连续)。我们在运动方程中发现了许多可能的术语,这些术语与熵电流的存在兼容,但不能将流体与背景量规场和Vielbein搭配。

We develop a hydrodynamic effective field theory on the Schwinger-Keldysh contour for fluids with charge, energy, and momentum conservation, but only discrete rotational symmetry. The consequences of anisotropy on thermodynamics and first-order dissipative hydrodynamics are detailed in some simple examples in two spatial dimensions, but our construction extends to any spatial dimension and any rotation group (discrete or continuous). We find many possible terms in the equations of motion which are compatible with the existence of an entropy current, but not with the ability to couple the fluid to background gauge fields and vielbein.

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