Correlation functions and transport coefficients in generalised hydrodynamics
Correlation functions and transport coefficients in generalised hydrodynamics
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DOI：
10.1088/1742-5468/ac3658
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发表时间：
2022-01-01
影响因子：
2.4
通讯作者：
Panfil, Milosz
中科院分区：
文献类型：
--
作者：
De Nardis, Jacopo;Doyon, Benjamin;Panfil, Milosz
本文综述了大尺度动力学相关函数的精确结果和相互作用可积模型中相关输运系数的研究进展。我们讨论了德鲁德权重，电导率和扩散常数，以及平衡和非平衡状态下的线性和非线性响应。我们从多体系统的一般水动力理论的互补角度考虑这些问题，包括水动力投影和可积模型中的形状因子展开，并展示它们如何提供一套全面和一致的精确方法来提取大规模行为。最后，我们概述了在可积自旋链和场理论中的各种应用。
We review the recent advances on exact results for dynamical correlation functions at large scales and related transport coefficients in interacting integrable models. We discuss Drude weights, conductivity and diffusion constants, as well as linear and nonlinear response on top of equilibrium and non-equilibrium states. We consider the problems from the complementary perspectives of the general hydrodynamic theory of many-body systems, including hydrodynamic projections, and form-factor expansions in integrable models, and show how they provide a comprehensive and consistent set of exact methods to extract large scale behaviours. Finally, we overview various applications in integrable spin chains and field theories.