Lectures on hydrodynamic fluctuations in relativistic theories

These are pedagogical lecture notes on hydrodynamic fluctuations in normal relativistic fluids. The lectures discuss correlation functions of conserved densities in thermal equilibrium, interactions of the hydrodynamic modes, an effective action for viscous fluids, and the breakdown of the derivative expansion in hydrodynamics.

Note:

55 pages. Based on lectures given at the Seattle INT Summer School on Applications of String Theory in July 2011

lectures
fluid: relativistic
expansion: derivative
fluid: viscosity
hydrodynamics: relativistic
fluctuation
correlation function
effective action
tensor: energy-momentum
entropy

References(72)

Figures(1)

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Derek A. Teaney
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- SUNY, Stony Brook
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Quantum Phase Transitions Cambridge, 2011

S. Sachdev

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Veronika E. Hubeny
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Mukund Rangamani
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Ofer Aharony
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)

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DOI:
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Sayantani Bhattacharyya
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Veronika E Hubeny
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Mukund Rangamani
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DOI:
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Markus Muller
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Markus Muller
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Subir Sachdev
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Hydrodynamics with Triangle Anomalies

Dam T. Son
(
- Washington U., Seattle
)
,
Piotr Surowka
(
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DOI:
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Kristan Jensen
(
- Victoria U.
)
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Matthias Kaminski
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- Princeton U. and
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,
Pavel Kovtun
(
- Victoria U.
)
,
Rene Meyer
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Adam Ritz
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et al.

- JHEP 05 (2012) 102
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e-Print:
- 1112.4498
•
DOI:
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Jyotirmoy Bhattacharya
(
- Tata Inst.
)
,
Sayantani Bhattacharyya
(
- Harish-Chandra Res. Inst.
)
,
Shiraz Minwalla
(
- Tata Inst.
)
,
Amos Yarom
(
- Princeton U. and
- Technion
)

- JHEP 05 (2014) 147
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e-Print:
- 1105.3733
•
DOI:
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Paul Romatschke
(
- Washington U., Seattle
)

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e-Print:
- 0902.3663
•
DOI:
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John McGreevy
(
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)

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e-Print:
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DOI:
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[20]

Gauge/String Duality, Hot QCD and Heavy Ion Collisions

Jorge Casalderrey-Solana
(
- CERN
)
,
Hong Liu
(
- MIT, LNS
)
,
David Mateos
(
- Barcelona U. and
- ICC, Barcelona U. and
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)
,
Krishna Rajagopal
(
- MIT, LNS
)
,
Urs Achim Wiedemann
(
- CERN
)

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DOI:
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