A hydrodynamic approach to non-equilibrium conformal field theories
A hydrodynamic approach to non-equilibrium conformal field theories
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非平衡共形场理论的流体动力学方法
DOI：
10.1088/1742-5468/2016/03/033104
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
B. Doyon
中科院分区：
文献类型：
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作者：
D. Bernard;B. Doyon
我们发展了一个流体动力学的方法，非平衡共形场论。我们研究非平衡定常状态的背景下，一维共形场理论扰动的TT？>无关算子通过直接量子计算，我们表明，一阶的耦合，出现相对论流体动力学，这是一个简单的修改一维共形流体。我们表明，它描述的稳定状态和它的方法，我们提供的主要特点的稳定状态，这是两个冲击波之间。这些激波的速度被扰动修正，等于渐近浴的声速。进一步推进这种方法，我们可以推测，接近稳定状态一般受幂律t−1/2控制，而冲击的宽度根据t1/3随时间增加。
We develop a hydrodynamic approach to non-equilibrium conformal field theory. We study non-equilibrium steady states in the context of one-dimensional conformal field theory perturbed by the TT¯ ?> irrelevant operator. By direct quantum computation, we show, to first order in the coupling, that a relativistic hydrodynamic emerges, which is a simple modification of one-dimensional conformal fluids. We show that it describes the steady state and its approach, and we provide the main characteristics of the steady state, which lies between two shock waves. The velocities of these shocks are modified by the perturbation and equal the sound velocities of the asymptotic baths. Pushing this approach further, we are led to conjecture that the approach to the steady state is generically controlled by the power law t−1/2, and that the widths of the shocks increase with time according to t1/3.