# Derivation of Covariant Dissipative Fluid Dynamics in the Renormalization-group Method

Source: [Derivation of Covariant Dissipative Fluid Dynamics in the Renormalization-group Method](<https://www.sota2.com/research/paper/68fa23132c2a3760193927b8>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T05:55:36.211Z

Authors: K. Tsumura, T. Kunihiro, K. Ohnishi

Published: 2006-09-06T05:10:43.000Z

## Abstract

We derive generic relativistic hydrodynamical equations with dissipative effects from the underlying Boltzmann equation in a mechanical and systematic way on the basis of so called the renormalization-group (RG) method. A macroscopic frame vector is introduced to specify the frame on which the macroscopic dynamics is described. Our method is so mechanical with only few ansatz that our method give a microscopic foundation of the available hydrodynamical equations, and also can be applied to make a reduction of the kinetic equations other than the simple Boltzmann equation.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-ph/0609056>)

[PDF](<https://arxiv.org/pdf/hep-ph/0609056.pdf>)