Relativistic hydrodynamics from quantum field theory on the basis of the generalized Gibbs ensemble method

Tomoya Hayata, Yoshimasa Hidaka, Toshifumi Noumi, Masaru Hongo

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24 Citations (Scopus)

Abstract

We derive relativistic hydrodynamics from quantum field theories by assuming that the density operator is given by a local Gibbs distribution at initial time. We decompose the energy-momentum tensor and particle current into nondissipative and dissipative parts, and analyze their time evolution in detail. Performing the path-integral formulation of the local Gibbs distribution, we microscopically derive the generating functional for the nondissipative hydrodynamics. We also construct a basis to study dissipative corrections. In particular, we derive the first-order dissipative hydrodynamic equations without a choice of frame such as the Landau-Lifshitz or Eckart frame.

Original languageEnglish
Article number065008
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume92
Issue number6
DOIs
Publication statusPublished - 2015 Sep 10
Externally publishedYes

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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