Hydrodynamics of Resonances

TL;DR

This paper develops a hydrodynamic framework for resonant fluids composed of particles with finite mass-widths, deriving equations and kinetic coefficients from quantum field theory approximations.

Contribution

It introduces a self-consistent derivation of non-ideal hydrodynamic equations for resonances using gradient-expanded Kadanoff-Baym equations.

Findings

Derived hydrodynamic equations for resonance fluids.

Expressed kinetic coefficients via self-energy components.

Provided a relaxation time approximation for kinetic coefficients.

Abstract

We derive system of equations describing fluidity of the medium consisting of non-relativistic particles with finite mass-widths. For that we use expressions for the kinetic Noether 4-current and the Noether energy-momentum tensor being conserved provided one uses self-consistent approximations to the gradient expanded Kadanoff-Baym equations. Kinetic coefficients entering equations of non-ideal hydrodynamics of resonances are obtained in terms of the real and imaginary parts of the self-energies within a relaxation time approximation.