Lectures on hydrodynamic fluctuations in relativistic theories
Pavel Kovtun
TL;DR
This paper provides pedagogical insights into hydrodynamic fluctuations in relativistic fluids, covering correlation functions, mode interactions, effective actions, and the limitations of derivative expansions.
Contribution
It offers a comprehensive, educational overview of hydrodynamic fluctuations in relativistic fluids, including new perspectives on mode interactions and the breakdown of derivative expansions.
Findings
Correlation functions of conserved densities analyzed
Interactions of hydrodynamic modes discussed
Breakdown of derivative expansion explained
Abstract
These are pedagogical lecture notes on hydrodynamic fluctuations in normal relativistic fluids. The lectures discuss correlation functions of conserved densities in thermal equilibrium, interactions of the hydrodynamic modes, an effective action for viscous fluids, and the breakdown of the derivative expansion in hydrodynamics.
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