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

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

Tomoya Hayata
(
- Tokyo U. and
- Nishina Ctr., RIKEN
)
,
Yoshimasa Hidaka
(
- Nishina Ctr., RIKEN
)
,
Toshifumi Noumi
(
- Nishina Ctr., RIKEN
)
,
Masaru Hongo
(
- Tokyo U. and
- Nishina Ctr., RIKEN and
- Sophia U.
)

Mar 16, 2015

14 pages

Published in:

Phys.Rev.D 92 (2015) 6, 065008

Published: Sep 10, 2015

e-Print:

1503.04535 [hep-ph]

DOI:

10.1103/PhysRevD.92.065008

Report number:

RIKEN-QHP-180,
RIKEN-MP-111

View in:

ADS Abstract Service

reference search66 citations

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Abstract: (APS)

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.

Note:

29 pages, 3 figures (2 figures are added), published version

47.75.+f
47.10.-g
hydrodynamics: relativistic
tensor: energy-momentum
density: operator
dissipation
field theory
path integral
Landau-Lifshitz model

References(45)

Figures(1)

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