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Holographic Thermalization. / Balasubramanian, Vijay; Bernamonti, Alice; De Boer, Jan; Copland, Neil Barclay; Craps, Ben; Keski-Vakkuri, Esko; Müller, Berndt; Schäfer, Andreas; Shigemori, Masaki; Staessens, Wieland.

In: Phys. Rev. D, Vol. 84, No. 2, 026010, 25.07.2011.

Research output: Contribution to journalArticle

Harvard

Balasubramanian, V, Bernamonti, A, De Boer, J, Copland, NB, Craps, B, Keski-Vakkuri, E, Müller, B, Schäfer, A, Shigemori, M & Staessens, W 2011, 'Holographic Thermalization', Phys. Rev. D, vol. 84, no. 2, 026010.

APA

Balasubramanian, V., Bernamonti, A., De Boer, J., Copland, N. B., Craps, B., Keski-Vakkuri, E., ... Staessens, W. (2011). Holographic Thermalization. Phys. Rev. D, 84(2), [026010].

Vancouver

Balasubramanian V, Bernamonti A, De Boer J, Copland NB, Craps B, Keski-Vakkuri E et al. Holographic Thermalization. Phys. Rev. D. 2011 Jul 25;84(2). 026010.

Author

Balasubramanian, Vijay ; Bernamonti, Alice ; De Boer, Jan ; Copland, Neil Barclay ; Craps, Ben ; Keski-Vakkuri, Esko ; Müller, Berndt ; Schäfer, Andreas ; Shigemori, Masaki ; Staessens, Wieland. / Holographic Thermalization. In: Phys. Rev. D. 2011 ; Vol. 84, No. 2.

BibTeX

@article{73ec2b4b74104d09adeba72db7aa6dc0,
title = "Holographic Thermalization",
abstract = "Using the AdS/CFT correspondence, we probe the scale-dependence of thermalization in strongly coupled field theories following a quench, via calculations of two-point functions, Wilson loops and entanglement entropy in d=2,3,4. In the saddlepoint approximation these probes are computed in AdS space in terms of invariant geometric objects - geodesics, minimal surfaces and minimal volumes. Our calculations for two-dimensional field theories are analytical. In our strongly coupled setting, all probes in all dimensions share certain universal features in their thermalization: (1) a slight delay in the onset of thermalization, (2) an apparent non-analyticity at the endpoint of thermalization, (3) top-down thermalization where the UV thermalizes first. For homogeneous initial conditions the entanglement entropy thermalizes slowest, and sets a timescale for equilibration that saturates a causality bound over the range of scales studied. The growth rate of entanglement entropy density is nearly volume-independent for small volumes, but slows for larger volumes.",
keywords = "entropy : entanglement, entropy : density, space : anti-de-Sitter, surface : minimal, dimension : 2, dimension : 3, dimension : 4, strong coupling, saddle-point approximation, AdS/CFT correspondance, boundary condition, two-point function, scale dependence, Wilson loop, causality, quenching",
author = "Vijay Balasubramanian and Alice Bernamonti and {De Boer}, Jan and Copland, {Neil Barclay} and Ben Craps and Esko Keski-Vakkuri and Berndt M{\"u}ller and Andreas Sch{\"a}fer and Masaki Shigemori and Wieland Staessens",
year = "2011",
month = "7",
day = "25",
language = "English",
volume = "84",
journal = "Physical Review D. Particles, Fields, Gravitation, and Cosmology",
issn = "1550-7998",
publisher = "American Physical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Holographic Thermalization

AU - Balasubramanian, Vijay

AU - Bernamonti, Alice

AU - De Boer, Jan

AU - Copland, Neil Barclay

AU - Craps, Ben

AU - Keski-Vakkuri, Esko

AU - Müller, Berndt

AU - Schäfer, Andreas

AU - Shigemori, Masaki

AU - Staessens, Wieland

PY - 2011/7/25

Y1 - 2011/7/25

N2 - Using the AdS/CFT correspondence, we probe the scale-dependence of thermalization in strongly coupled field theories following a quench, via calculations of two-point functions, Wilson loops and entanglement entropy in d=2,3,4. In the saddlepoint approximation these probes are computed in AdS space in terms of invariant geometric objects - geodesics, minimal surfaces and minimal volumes. Our calculations for two-dimensional field theories are analytical. In our strongly coupled setting, all probes in all dimensions share certain universal features in their thermalization: (1) a slight delay in the onset of thermalization, (2) an apparent non-analyticity at the endpoint of thermalization, (3) top-down thermalization where the UV thermalizes first. For homogeneous initial conditions the entanglement entropy thermalizes slowest, and sets a timescale for equilibration that saturates a causality bound over the range of scales studied. The growth rate of entanglement entropy density is nearly volume-independent for small volumes, but slows for larger volumes.

AB - Using the AdS/CFT correspondence, we probe the scale-dependence of thermalization in strongly coupled field theories following a quench, via calculations of two-point functions, Wilson loops and entanglement entropy in d=2,3,4. In the saddlepoint approximation these probes are computed in AdS space in terms of invariant geometric objects - geodesics, minimal surfaces and minimal volumes. Our calculations for two-dimensional field theories are analytical. In our strongly coupled setting, all probes in all dimensions share certain universal features in their thermalization: (1) a slight delay in the onset of thermalization, (2) an apparent non-analyticity at the endpoint of thermalization, (3) top-down thermalization where the UV thermalizes first. For homogeneous initial conditions the entanglement entropy thermalizes slowest, and sets a timescale for equilibration that saturates a causality bound over the range of scales studied. The growth rate of entanglement entropy density is nearly volume-independent for small volumes, but slows for larger volumes.

KW - entropy : entanglement

KW - entropy : density

KW - space : anti-de-Sitter

KW - surface : minimal

KW - dimension : 2

KW - dimension : 3

KW - dimension : 4

KW - strong coupling

KW - saddle-point approximation

KW - AdS/CFT correspondance

KW - boundary condition

KW - two-point function

KW - scale dependence

KW - Wilson loop

KW - causality

KW - quenching

M3 - Article

VL - 84

JO - Physical Review D. Particles, Fields, Gravitation, and Cosmology

JF - Physical Review D. Particles, Fields, Gravitation, and Cosmology

SN - 1550-7998

IS - 2

M1 - 026010

ER -

ID: 2091651