Holographic Thermalization with Chemical Potential - INSPIRE

DataBETA

Holographic Thermalization with Chemical Potential

Elena Caceres
(
- Colima U. and
- Texas U.
)
,
Arnab Kundu
(
- Texas U. and
- Santa Barbara, KITP
)

May, 2012

49 pages

Published in:

JHEP 09 (2012) 055

e-Print:

1205.2354 [hep-th]

DOI:

10.1007/JHEP09(2012)055

Report number:

UTTG-05-12,
NSF-KITP-12-060

View in:

ADS Abstract Service

reference search144 citations

Citations per year

Abstract: (arXiv)

We study the thermalization of a strongly coupled quantum field theory in the presence of a chemical potential. More precisely, using the holographic prescription, we calculate non- local operators such as two point function, Wilson loop and entanglement entropy in a time- dependent background that interpolates between AdSd+1 and AdSd+1 -Reissner-Nordstr\"om for d = 3, 4. We find that it is the entanglement entropy that thermalizes the latest and thus sets a time-scale for equilibration in the field theory. We study the dependence of the thermalization time on the probe length and the chemical potential. We find an interesting non-monotonic behavior. For a fixed small value of T l and small values of \mu/T the thermalization time decreases as we increase \mu/T, thus the plasma thermalizes faster. For large values of \mu/T the dependence changes and the thermalization time increases with increasing \mu/T . On the other hand, if we increase the value of T l this non-monotonic behavior becomes less pronounced and eventually disappears indicating two different regimes for the physics of thermalization: non-monotonic dependence of the thermalization time on the chemical potential for T l << 1 and monotonic for T l >> 1.

Note:

49 pages, v2 references added, typo corrected

potential: chemical
entropy: entanglement
background: time dependence
operator: local
two-point function
strong coupling
Wilson loop
holography
plasma
temperature

References(42)

Figures(52)

[1]

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

[2]

A Holographic view on physics out of equilibrium

Veronika E. Hubeny
(
- Durham U. and
- Durham U., Dept. of Math.
)
,
Mukund Rangamani
(
- Durham U. and
- Durham U., Dept. of Math.
)

- Adv.High Energy Phys. 2010 (2010) 297916
•
e-Print:
- 1006.3675
•
DOI:
- 10.1155/2010/297916

[3]

Weak Field Black Hole Formation in Asymptotically AdS Spacetimes

Sayantani Bhattacharyya
(
- Tata Inst.
)
,
Shiraz Minwalla
(
- Tata Inst.
)

- JHEP 09 (2009) 034
•
e-Print:
- 0904.0464
•
DOI:
- 10.1088/1126-6708/2009/09/034

[4]

Thermalization of Strongly Coupled Field Theories

V. Balasubramanian
(
- Pennsylvania U.
)
,
A. Bernamonti
(
- Vrije U., Brussels and
- Intl. Solvay Inst., Brussels
)
,
J. de Boer
(
- Amsterdam U.
)
,
N. Copland
(
- Vrije U., Brussels and
- Intl. Solvay Inst., Brussels
)
,
B. Craps
(
- Vrije U., Brussels and
- Intl. Solvay Inst., Brussels
)

et al.

- Phys.Rev.Lett. 106 (2011) 191601
•
e-Print:
- 1012.4753
•
DOI:
- 10.1103/PhysRevLett.106.191601

[5]

Holographic Thermalization

V. Balasubramanian
(
- Pennsylvania U.
)
,
A. Bernamonti
(
- Vrije U., Brussels and
- Intl. Solvay Inst., Brussels
)
,
J. de Boer
(
- Amsterdam U.
)
,
N. Copland
(
- Vrije U., Brussels and
- Intl. Solvay Inst., Brussels
)
,
B. Craps
(
- Vrije U., Brussels and
- Intl. Solvay Inst., Brussels
)

et al.

- Phys.Rev.D 84 (2011) 026010
•
e-Print:
- 1103.2683
•
DOI:
- 10.1103/PhysRevD.84.026010

[6]

On the collision of two shock waves in AdS(5)

Daniel Grumiller
(
- MIT, LNS
)
,
Paul Romatschke
(
- Washington U., Seattle and
- Kyoto U., Yukawa Inst., Kyoto
)

- JHEP 08 (2008) 027
•
e-Print:
- 0803.3226
•
DOI:
- 10.1088/1126-6708/2008/08/027

[7]

Entropy production in collisions of gravitational shock waves and of heavy ions

- Phys.Rev.D 78 (2008) 066014
•
e-Print:
- 0805.1551
•
DOI:
- 10.1103/PhysRevD.78.066014

[8]

Modeling Heavy Ion Collisions in AdS/CFT

Javier L. Albacete
(
- Ohio State U.
)
,
Yuri V. Kovchegov
(
- Ohio State U.
)
,
Anastasios Taliotis
(
- Ohio State U.
)

- JHEP 07 (2008) 100
•
e-Print:
- 0805.2927
•
DOI:
- 10.1088/1126-6708/2008/07/100

[9]

Critical formation of trapped surfaces in the collision of gravitational shock waves

Luis Alvarez-Gaume
(
- CERN
)
,
Cesar Gomez
(
- Madrid, IFT
)
,
Agustin Sabio Vera
(
- CERN
)
,
Alireza Tavanfar
(
- Harvard U., Phys. Dept.
)
,
Miguel A. Vazquez-Mozo
(
- Salamanca U.
)

- JHEP 02 (2009) 009
•
e-Print:
- 0811.3969
•
DOI:
- 10.1088/1126-6708/2009/02/009

[10]

Grazing Collisions of Gravitational Shock Waves and Entropy Production in Heavy Ion Collision

Shu Lin
(
- SUNY, Stony Brook
)
,
Edward Shuryak
(
- SUNY, Stony Brook
)

- Phys.Rev.D 79 (2009) 124015
•
e-Print:
- 0902.1508
•
DOI:
- 10.1103/PhysRevD.79.124015

[11]

Asymmetric Collision of Two Shock Waves in AdS(5)

- JHEP 05 (2009) 060
•
e-Print:
- 0902.3046
•
DOI:
- 10.1088/1126-6708/2009/05/060

[12]

Off-center collisions in AdS(5) with applications to multiplicity estimates in heavy-ion collisions

- JHEP 11 (2009) 050
•
e-Print:
- 0902.4062
•
DOI:
- 10.1088/1126-6708/2009/11/050

[13]

Toward Thermalization in Heavy Ion Collisions at Strong Coupling

Yuri V. Kovchegov
(
- Ohio State U.
)
,
Shu Lin
(
- SUNY, Stony Brook
)

- JHEP 03 (2010) 057
•
e-Print:
- 0911.4707
•
DOI:
- 10.1007/JHEP03(2010)057

[14]

Shock Wave Collisions and Thermalization in AdS $_{5}$

Yuri V. Kovchegov
(
- Ohio State U.
)

- Prog.Theor.Phys.Suppl. 187 (2011) 96-105
•
e-Print:
- 1011.0711
•
DOI:
- 10.1143/PTPS.187.96

[15]

Holography and colliding gravitational shock waves in asymptotically AdS $_{5}$ spacetime

Paul M. Chesler
(
- MIT
)
,
Laurence G. Yaffe
(
- Washington U., Seattle
)

- Phys.Rev.Lett. 106 (2011) 021601
•
e-Print:
- 1011.3562
•
DOI:
- 10.1103/PhysRevLett.106.021601

[16]

Critical Trapped Surfaces Formation in the Collision of Ultrarelativistic Charges in (A)dS

- JHEP 03 (2010) 002
•
e-Print:
- 0909.1294
•
DOI:
- 10.1007/JHEP03(2010)002

[17]

Holographic phase diagram of quark-gluon plasma formed in heavy-ions collisions

I.Y. Arefeva
(
- Steklov Math. Inst., Moscow
)
,
A.A. Bagrov
(
- Steklov Math. Inst., Moscow and
- Leiden U.
)
,
E.O. Pozdeeva
(
- SINP, Moscow
)

- JHEP 05 (2012) 117
•
e-Print:
- 1201.6542
•
DOI:
- 10.1007/JHEP05(2012)117

[18]

Fluctuation, dissipation, and thermalization in non-equilibrium AdS $_5$ black hole geometries

Simon Caron-Huot
(
- Princeton, Inst. Advanced Study
)
,
Paul M. Chesler
(
- MIT
)
,
Derek Teaney
(
- SUNY, Stony Brook
)

- Phys.Rev.D 84 (2011) 026012
•
e-Print:
- 1102.1073
•
DOI:
- 10.1103/PhysRevD.84.026012

[19]

Thermalization with a chemical potential from AdS spaces

Damian Galante
(
- Buenos Aires, CONICET and
- La Plata U.
)
,
Martin Schvellinger
(
- Buenos Aires, CONICET and
- La Plata U.
)

- JHEP 07 (2012) 096
•
e-Print:
- 1205.1548
•
DOI:
- 10.1007/JHEP07(2012)096

[20]

Nonextreme black holes of five-dimensional N=2 AdS supergravity

- Nucl.Phys.B 553 (1999) 317-332
•
e-Print:
- hep-th/9810227
•
DOI:
- 10.1016/S0550-3213(99)00243-6

[21]

Chiral anomalies and AdS/CMT in two dimensions

Kristan Jensen
(
- Victoria U. and
- Washington U., Seattle
)

- JHEP 01 (2011) 109
•
e-Print:
- 1012.4831
•
DOI:
- 10.1007/JHEP01(2011)109

[22]

BPS black holes in N=2 five-dimensional AdS supergravity

K. Behrndt
(
- Humboldt U., Berlin
)
,
Ali H. Chamseddine
(
- American U. of Beirut and
- Zurich, ETH
)
,
W.A. Sabra
(
- American U. of Beirut and
- Queen Mary, U. of London
)

- Phys.Lett.B 442 (1998) 97-101
•
e-Print:
- hep-th/9807187
•
DOI:
- 10.1016/S0370-2693(98)01208-8

[23]

Phases of R charged black holes, spinning branes and strongly coupled gauge theories

Mirjam Cvetic
(
- Pennsylvania U.
)
,
Steven S. Gubser
(
- Harvard U.
)

- JHEP 04 (1999) 024
•
e-Print:
- hep-th/9902195
•
DOI:
- 10.1088/1126-6708/1999/04/024

[24]

Charged AdS black holes and catastrophic holography

Andrew Chamblin
(
- Cambridge U., DAMTP
)
,
Roberto Emparan
(
- Durham U., Dept. of Math. and
- Basque U., Bilbao
)
,
Clifford V. Johnson
(
- Kentucky U.
)
,
Robert C. Myers
(
- McGill U.
)

- Phys.Rev.D 60 (1999) 064018
•
e-Print:
- hep-th/9902170
•
DOI:
- 10.1103/PhysRevD.60.064018

[25]

Lectures on holographic methods for condensed matter physics

Sean A. Hartnoll
(
- Harvard U.
)

- Class.Quant.Grav. 26 (2009) 224002
•
e-Print:
- 0903.3246
•
DOI:
- 10.1088/0264-9381/26/22/224002

1-25 of 42
1
2
25 / page