论文标题
流体动力学有效现场理论和静液压相关因子的分析性
Hydrodynamic effective field theory and the analyticity of hydrostatic correlators
论文作者
论文摘要
我们研究了一环校正，以在schwinger-keldysh有效的相对论水动力学的有效现场理论框架中智障和对称的静静力相关功能，重点是电荷扩散。我们首先考虑仅具有扩散电荷密度波动的简化设置，然后在可以忽略声音模式的模型中使用动量波动来增强它。我们表明，循环校正通常会在有限频率下诱导非分析性和长期影响，因此由于KMS约束，非平淡无奇的相关函数在空间动量中保留了延迟相关函数的分析性，作为热筛选的表现。出于本分析的目的，我们为扩散流体动力学发展了相互作用的场理论，这是在没有温度和纵向速度波动的情况下被视为相对论流体动力学的限制。
We study one-loop corrections to retarded and symmetric hydrostatic correlation functions within the Schwinger-Keldysh effective field theory framework for relativistic hydrodynamics, focusing on charge diffusion. We first consider the simplified setup with only diffusive charge density fluctuations, and then augment it with momentum fluctuations in a model where the sound modes can be ignored. We show that the loop corrections, which generically induce non-analyticities and long-range effects at finite frequency, non-trivially preserve analyticity of retarded correlation functions in spatial momentum due to the KMS constraint, as a manifestation of thermal screening. For the purposes of this analysis, we develop an interacting field theory for diffusive hydrodynamics, seen as a limit of relativistic hydrodynamics in the absence of temperature and longitudinal velocity fluctuations.
