格点上的量子理想流体力学
Quantum ideal hydrodynamics on the lattice
摘要：
在讨论了从微观尺度定义流体动力学极限的问题之后，我们介绍了理想流体动力学在Lagrange图像中的概念，并指出理想流体动力学可以看作是一种场论，它可以用通常的Feynman路径求和公式进行量子化。然后，我们认为，这张照片可以连接到通常被忽视的热微观尺度的流体动力学膨胀。在表明这种膨胀通常是非微扰的之后，我们展示了如何使用晶格来理解量子和热波动对流体行为的影响。
英文摘要：
After discussing the problem of defining the hydrodynamic limit from microscopic scales, we give an introduction to ideal hydrodynamics in the Lagrange picture, and show that it can be viewed as a field theory, which can be quantized using the usual Feynman sum-over-paths prescription. We then argue that this picture can be connected to the usually neglected thermal microscopic scale in the hydrodynamic expansion. After showing that this expansion is generally non-perturbative, we show how the lattice can be used to understand the impact quantum and thermal fluctuations can have on the fluid behavior.
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