论文标题
没有提升的流体动力学的有效现场理论
Effective field theory for hydrodynamics without boosts
论文作者
论文摘要
我们制定了schwinger-keldysh无效对称性的流体动力学的有效田间理论。这包括经典流体动力学的时空协变量，没有增强的，具有额外的保守粒子/电荷电流与亚里士多德背景源耦合。我们发现，该理论的特征在于衍生物的一阶，以状态的热力学方程和29个独立的转运系数，特别是3静静态传输系数，9个非静态非静态非静态性非疾病和17个耗散性。此外，我们研究了具有非消失液速度的各向异性平衡状态周围线性波动的光谱。该分析揭示了一对声音模式，它们以不同的速度和相反的速度传播，一种电荷扩散模式以及沿着流体速度沿着和垂直于流体速度的两种不同的剪切模式。我们以新的流体动力框架呈现这些结果，该框架是线性稳定的，而不论其适当的对称性。这为在有效的现场理论框架内同时处理洛伦兹，加利利人和Lifshitz流体提供了统一的协变量稳定方法，并为未来的非相互对称性破坏模式的研究设定了阶段。
We formulate the Schwinger-Keldysh effective field theory of hydrodynamics without boost symmetry. This includes a spacetime covariant formulation of classical hydrodynamics without boosts with an additional conserved particle/charge current coupled to Aristotelian background sources. We find that, up to first order in derivatives, the theory is characterised by the thermodynamic equation of state and a total of 29 independent transport coefficients, in particular, 3 hydrostatic, 9 non-hydrostatic non-dissipative, and 17 dissipative. Furthermore, we study the spectrum of linearised fluctuations around anisotropic equilibrium states with non-vanishing fluid velocity. This analysis reveals a pair of sound modes that propagate at different speeds along and opposite to the fluid flow, one charge diffusion mode, and two distinct shear modes along and perpendicular to the fluid velocity. We present these results in a new hydrodynamic frame that is linearly stable irrespective of the boost symmetry in place. This provides a unified covariant stable approach for simultaneously treating Lorentzian, Galilean, and Lifshitz fluids within an effective field theory framework and sets the stage for future studies of non-relativistic intertwined patterns of symmetry breaking.
