Transverse shear viscosity to entropy density for the general anisotropic black brane in Horava–Lifshitz gravity - INSPIRE

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Transverse shear viscosity to entropy density for the general anisotropic black brane in Horava–Lifshitz gravity

Mehdi Sadeghi
(
- U. Ayatollah Ozma Borujerdi
)

May 8, 2019

4 pages

Published in:

Indian J.Phys. 94 (2020) 7, 1119-1122

Published: Jun 25, 2019

e-Print:

1905.02932 [hep-th]

DOI:

10.1007/s12648-019-01523-6 (publication)

View in:

ADS Abstract Service

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Abstract: (Springer)

In this paper we calculate the ratio of transverse shear viscosity to entropy density for the general anisotropic black brane in Horava-Lifshitz gravity. There is a well-known conjecture that states this ratio should be larger than

\frac{1}{4\pi}

. The ratio of shear viscosity to entropy density is proportional to the inverse square coupling of quantum thermal field theory,

\frac{\eta }{s} \sim \frac{1}{\lambda^2 }

. Especially in QFT with gravity dual the stronger coupling means the shear viscosity per entropy density gets closer to the lower bound of

\frac{1}{4\pi}

. The KSS bound preserves in the anisotropic scaling model.

Note:

7 pages,to appear in INJP

11.10.Jj
11.10.Wx
11.15.Pg
11.25.Tq
Fluid/gravity duality
AdS/CFT duality
Transverse shear viscosity
Green–Kubo formula
viscosity
entropy

References(41)

Figures(0)

[1]

The Large N limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

[2]

Large N field theories, string theory and gravity

Ofer Aharony
(
- Rutgers U., Piscataway
)
,
Steven S. Gubser
(
- Harvard U.
)
,
Juan Martin Maldacena
(
- Princeton, Inst. Advanced Study and
- Harvard U.
)
,
Hirosi Ooguri
(
- LBL, Berkeley and
- UC, Berkeley
)
,
Yaron Oz
(
- CERN
)

- Phys.Rept. 323 (2000) 183-386
•
e-Print:
- hep-th/9905111
•
DOI:
- 10.1016/S0370-1573(99)00083-6

[3]

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
- ICREA, Barcelona
)
,
Krishna Rajagopal
(
- MIT, LNS
)
,
Urs Achim Wiedemann
(
- CERN
)

- ,
- ,
- book:Gauge/String Duality, Hot QCD and Heavy Ion Collisions. Cambridge, UK: Cambridge University Press, 2014
•
e-Print:
- 1101.0618
•
DOI:
- 10.1017/9781009403504

[4]

: Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions, Reading

D. Forster

[5]

Nonlinear Fluid Dynamics from Gravity

Sayantani Bhattacharyya
(
- Tata Inst.
)
,
Veronika E Hubeny
(
- Durham U. and
- Durham U., Dept. of Math.
)
,
Shiraz Minwalla
(
- Tata Inst.
)
,
Mukund Rangamani
(
- Durham U. and
- Durham U., Dept. of Math.
)

- JHEP 02 (2008) 045
•
e-Print:
- 0712.2456
•
DOI:
- 10.1088/1126-6708/2008/02/045

[6]

Gravity and Hydrodynamics: Lectures on the fluid-gravity correspondence

Mukund Rangamani
(
- Durham U. and
- Durham U., Dept. of Math. and
- Santa Barbara, KITP
)

- Class.Quant.Grav. 26 (2009) 224003
•
e-Print:
- 0905.4352
•
DOI:
- 10.1088/0264-9381/26/22/224003

[7]

Mechanics (Course of Theoretical Physics, Vol. 6). (Butterworth-Heinemann)

L.D. Landau
,
E.M. Lifshitz Fluid

[8]

The Fluid/gravity correspondence: Lectures notes from the 2008 Summer School on Particles, Fields, and Strings

Nicola Ambrosetti
(
- Bern U.
)
,
James Charbonneau
(
- British Columbia U.
)
,
Silke Weinfurtner
(
- British Columbia U.
)

e-Print:
- 0810.2631

[9]

A Theory of first order dissipative superfluid dynamics

Jyotirmoy Bhattacharya
(
- Tata Inst.
)
,
Sayantani Bhattacharyya
(
- Harish-Chandra Res. Inst.
)
,
Shiraz Minwalla
(
- Tata Inst.
)
,
Amos Yarom
(
- Princeton U. and
- Technion
)

- JHEP 05 (2014) 147
•
e-Print:
- 1105.3733
•
DOI:
- 10.1007/JHEP05(2014)147

[10]

Lectures on hydrodynamic fluctuations in relativistic theories

Pavel Kovtun
(
- Victoria U.
)

- J.Phys.A 45 (2012) 473001
•
e-Print:
- 1205.5040
•
DOI:
- 10.1088/1751-8113/45/47/473001

[11]

DT Son

- Nucl.Phys.B Proc.Suppl. 192 (2009) 113-118

[12]

Gale: Finite-Temperature Field Theory, Cambridge University Press, Cambridge

C. JI Kapusta

[13]

Thermodynamics and Instabilities of a Strongly Coupled Anisotropic Plasma

David Mateos
(
- ICREA, Barcelona and
- ICC, Barcelona U. and
- Barcelona U.
)
,
Diego Trancanelli
(
- Wisconsin U., Madison and
- UC, Santa Barbara
)

- JHEP 07 (2011) 054
•
e-Print:
- 1106.1637
•
DOI:
- 10.1007/JHEP07(2011)054

[14]

The anisotropic N=4 super Yang-Mills plasma and its instabilities

David Mateos
(
- ICREA, Barcelona and
- ICC, Barcelona U. and
- Barcelona U.
)
,
Diego Trancanelli
(
- UC, Santa Barbara and
- Wisconsin U., Madison
)

- Phys.Rev.Lett. 107 (2011) 101601
•
e-Print:
- 1105.3472
•
DOI:
- 10.1103/PhysRevLett.107.101601

[15]

Holographic renormalization and anisotropic black branes in higher curvature gravity

Viktor Jahnke
(
- Sao Paulo U.
)
,
Anderson Seigo Misobuchi
(
- Sao Paulo U.
)
,
Diego Trancanelli
(
- Sao Paulo U.
)

- JHEP 01 (2015) 122
•
e-Print:
- 1411.5964
•
DOI:
- 10.1007/JHEP01(2015)122

[16]

Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma

Anton Rebhan
(
- Vienna, Tech. U.
)
,
Dominik Steineder
(
- Vienna, Tech. U.
)

- Phys.Rev.Lett. 108 (2012) 021601
•
e-Print:
- 1110.6825
•
DOI:
- 10.1103/PhysRevLett.108.021601

[17]

Holographic RG flow of the shear viscosity to entropy density ratio in strongly coupled anisotropic plasma

Kiminad A. Mamo
(
- Illinois U., Chicago
)

- JHEP 10 (2012) 070
•
e-Print:
- 1205.1797
•
DOI:
- 10.1007/JHEP10(2012)070

[18]

Models of non-relativistic quantum gravity: The Good, the bad and the healthy

Diego Blas
(
- IPT, Lausanne
)
,
Oriol Pujolas
(
- CERN
)
,
Sergey Sibiryakov
(
- IPT, Lausanne and
- Moscow, INR
)

- JHEP 04 (2011) 018
•
e-Print:
- 1007.3503
•
DOI:
- 10.1007/JHEP04(2011)018

[19]

Thermodynamics Near the Two-Fluid Critical Mixing Point in He-3 - He-4

Robert B. Griffiths
(
- Carnegie Mellon U.
)

- Phys.Rev.Lett. 24 (1970) 715-717
•
DOI:
- 10.1103/PhysRevLett.24.715

[20]

Viscosity, Black Holes, and Quantum Field Theory

- Ann.Rev.Nucl.Part.Sci. 57 (2007) 95-118
•
e-Print:
- 0704.0240
•
DOI:
- 10.1146/annurev.nucl.57.090506.123120

[21]

The Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma

G. Policastro
(
- New York U. and
- Pisa, Scuola Normale Superiore
)
,
Dan T. Son
(
- Columbia U. and
- RIKEN BNL
)
,
Andrei O. Starinets
(
- New York U.
)

- Phys.Rev.Lett. 87 (2001) 081601
•
e-Print:
- hep-th/0104066
•
DOI:
- 10.1103/PhysRevLett.87.081601

[22]

Viscosity in strongly interacting quantum field theories from black hole physics

- Phys.Rev.Lett. 94 (2005) 111601
•
e-Print:
- hep-th/0405231
•
DOI:
- 10.1103/PhysRevLett.94.111601

[23]

From AdS / CFT correspondence to hydrodynamics

- JHEP 09 (2002) 043
•
e-Print:
- hep-th/0205052
•
DOI:
- 10.1088/1126-6708/2002/09/043

[24]

Holography and hydrodynamics: Diffusion on stretched horizons

- JHEP 10 (2003) 064
•
e-Print:
- hep-th/0309213
•
DOI:
- 10.1088/1126-6708/2003/10/064

[25]

D.T. Son

- Nucl.Phys.B Proc.Suppl. 192 (2009) 113-118

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