Relativistic fluid dynamics and its extensions as an effective field theory

Abstract

We examine hydrodynamics from the perspective of an effective field theory. The microscopic scale in this case is the thermalization scale, and the macroscopic scale is the gradient, with thermal fluctuations playing the role of $\hslash$. We argue that this method can be applied both, to consistently include thermal fluctuations in the theory, and to extend hydrodynamics to systems whose microscopic structure is non-trivial. For the latter, we discuss the case of spin polarization and gauge theories.

arXiv commentProceedings for the "Epiphany in Krakow 2019" conference, submitted to Acta Fisica Polonica

References in corpus (12)

• Relativistic fluid dynamics with spin
• Effective field theory for hydrodynamics: thermodynamics, and the derivative expansion
• The stickiness of sound: An absolute lower limit on viscosity and the breakdown of second order relativistic hydrodynamics
• Viscosity and dissipative hydrodynamics from effective field theory
• Thermodynamic versus kinetic approach to polarization-vorticity coupling
• Causality and dissipation in relativistic polarizeable fluids
• Sound waves and vortices in a polarized relativistic fluid
• Bulk viscosity from hydrodynamic fluctuations with relativistic hydro-kinetic theory
• Hydrodynamic Fluctuations in Relativistic Heavy-Ion Collisions
• A Lagrangian formulation of relativistic Israel-Stewart hydrodynamics
• Effective field theory of dissipative fluids
• Swimming and swirling colorful ghosts

Cited by in corpus (5)

• Relativistic hydrodynamics for spin-polarized fluids
• Fluctuating relativistic dissipative hydrodynamics as a gauge theory
• Fluctuating Relativistic hydrodynamics from Crooks theorem
• Linear response hydrodynamics of a relativistic dissipative fluid with spin
• Only-phase Popov action: thermodynamic derivation and superconducting electrodynamics