论文标题
相对论流体动力学的现场理论方法
Field Theory Approaches to Relativistic Hydrodynamics
论文作者
论文摘要
正如非相对论流体一样，我们通常会在不忽视随机波动的情况下发现相对论流体，最相关的示例热和湍流波动。由于理论的固有非线性，波动会导致系统动力学的深层而复杂的变化。 Martin-Siggia-Rose技术是一种强大的工具，它使我们能够将原始的流体动力问题转化为量子场理论One，从而利用了以平衡为单位的量子场的进步。为了证明这一技术，我们将考虑相对论流体的自旋两种模式的热波动，这是在一种理论中通过在松弛时间近似下摄取Boltzmann方程的矩来得出流体动力学的理论。
Just as non relativistic fluids, oftentimes we find relativistic fluids in situations where random fluctuations cannot be ignored, thermal and turbulent fluctuations being the most relevant examples. Because of the theory's inherent nonlinearity, fluctuations induce deep and complex changes in the dynamics of the system. The Martin-Siggia-Rose technique is a powerful tool that allows us to translate the original hydrodynamic problem into a quantum field theory one, thus taking advantage of the progress in the treatment of quantum fields out of equilibrium. To demonstrate this technique, we shall consider the thermal fluctuations of the spin two modes of a relativistic fluid, in a theory where hydrodynamics is derived by taking moments of the Boltzmann equation under the relaxation time approximation.
