论文标题
引力连续体的有效野外理论：固体，流体和以太统一
Effective Field Theory of Gravitating Continuum: Solids, Fluids, and Aether Unified
论文作者
论文摘要
我们研究了描述非疾病引诱连续性的相对论有效田间理论（EFT）。除了普通的连续性（即固体和流体）外，我们还发现了一个非常对称的连续体。特别是，以太的对称性得出的结论是，均质和各向同性状态的行为就像宇宙常数。我们在统一/共同的仪表中制定了EFT，其中时空度量可以食用连续体的动态自由度（声子）。这种规格的选择被解释为流体动力学中的拉格朗日描述，对Continua提供了整洁的几何理解。我们研究了基于线的时空分解，相对于连续体的四速度，这与基于叶状的Arnowitt-Deser-Misner One不同。我们的基于线程的分解尊重连续图的对称性，因此，即使在导数扩展中，每个连续体的EFT也可以系统地找到EFT的不变构件。我们还讨论了系统的线性动力学，并表明重力和声子在引力背景中获得了“质量”。
We investigate the relativistic effective field theory (EFT) describing a non-dissipative gravitating continuum. In addition to ordinary continua, namely solids and fluids, we find an extraordinary more symmetric continuum, aether. In particular, the symmetry of the aether concludes that a homogeneous and isotropic state behaves like a cosmological constant. We formulate the EFT in the unitary/comoving gauge in which the dynamical degrees of freedom of the continuum (phonons) are eaten by the spacetime metric. This gauge choice, which is interpreted as the Lagrangian description in hydrodynamics, offers a neat geometrical understanding of continua. We examine a thread-based spacetime decomposition with respect to the four-velocity of the continuum which is different from the foliation-based Arnowitt-Deser-Misner one. Our thread-based decomposition respects the symmetries of the continua and, therefore, makes it possible to systematically find invariant building blocks of the EFT for each continuum even at higher orders in the derivative expansion. We also discuss the linear dynamics of the system and show that both gravitons and phonons acquire "masses" in a gravitating background.
