标题： 粘度、纠缠和加速 显示英文标题

标题： Viscosity, entanglement and acceleration

摘要： 加速参考系中的闵可夫斯基真空中表现得像一种流体，不仅由于Unruh效应具有有限温度，还具有有限的剪切粘度。 此外，该粘度与熵密度之比精确满足由弦理论启发的Kovtun-Son-Starinets（KSS）界限$ \eta/s=1/4\pi $。 这种粘度的起源完全是运动学的，并被认为与Rindler视界引入的纠缠有关。 我们直接计算了自旋为1/2和1的无质量场的粘度、熵密度及其比率。 我们表明，在膜厚度对应的局部距离范围内，粘度与熵密度之比可以低于限制值$ 1/4\pi $，并且对于不同自旋由普适函数描述。 特别是，在膜表面$ \eta/s=1/8\pi $。 显示英文摘要

摘要： The Minkowski vacuum in an accelerated frame behaves like a fluid that has not only a finite temperature due to the Unruh effect, but also a finite shear viscosity. Moreover, the ratio of this viscosity to the entropy density exactly satisfies the Kovtun-Son-Starinets (KSS) bound, inspired by the string theory $ \eta/s=1/4\pi $. The origin of this viscosity is purely kinematical and is believed to be related to entanglement introduced by the Rindler horizon. We directly calculate the viscosity, entropy density, and their ratio for massless fields with spins 1/2 and 1. We show that locally the ratio of viscosity to entropy density can be below the limiting value $ 1/4\pi $ at distances of the order of the thickness of the membrane corresponding to the stretched horizon, and is described by the universal function for different spins. In particular, on the membrane surface $ \eta/s=1/8\pi $.