Effective field theory for hydrodynamics without boosts
Effective field theory for hydrodynamics without boosts
复制标题
无助推流体动力学的有效场论
作者：
J. Armas;Akash Jain
我们将Schwinger-Keldysh有效场理论
没有Boost对称性的流体力学。这包括时空协变
不含助推的附加经典流体力学公式
耦合到亚里士多德背景的守恒粒子/电荷电流
消息来源。我们发现，在衍生品的一阶之前，理论是
以热力学状态方程为特征的，共有29个
独立的运输系数，特别是静液压3，9
无静水、无耗散、17耗散。此外，我们还研究了
各向异性平衡态周围的线性化涨落谱
不消失的流体速度。这一分析揭示了一对声音模式
以不同的速度沿着和相反的流体流动传播，一个电荷
扩散模式，以及沿和垂直于
流体速度。我们在一个新的流体力学框架中展示了这些结果
线性稳定，而不考虑适当的升压对称性。这提供了一种
同时处理洛伦兹问题的统一协变稳定方法，
伽利略和利夫希茨流体在有效的场论框架内
为未来非相对论交织图案的研究奠定了基础
对称性被打破。
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.
影响因子：
5
作者：
F. S. Bemfica;M. Disconzi;J. Noronha
通讯作者：
F. S. Bemfica;M. Disconzi;J. Noronha
影响因子：
44.1
作者：
Marchetti, M. C.;Joanny, J. F.;Simha, R. Aditi
通讯作者：
Simha, R. Aditi