The DOI matches its Crossref record; 87 of the 87 references it cites were found in a registry or an index.
Holographic thermalization
Open accessAbstract
Using the AdS/CFT correspondence, we probe the scale dependence of thermalization in strongly coupled field theories following a sudden injection of energy via calculations of two-point functions, Wilson loops, and entanglement entropy in $d=2$, 3, 4. In the saddle-point 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 nonanalyticity 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.
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Cites
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524
Anti de Sitter space and holography
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a2 · Cited by 13,070
The Large N Limit of Superconformal Field Theories and SupergravityPreprint
Maldacena, J. (1998) · Cited by 11,886
Gauge theory correlators from non-critical string theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · Physics Letters B · doi:10.1016/s0370-2693(98)00377-3 · Cited by 9,307
Gauge Theory Correlators from Non-Critical String Theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · arXiv · doi:10.48550/arxiv.hep-th/9802109 · Cited by 9,307
The Large-N Limit of Superconformal Field Theories and Supergravity
Maldacena, J. (1999) · International Journal of Theoretical Physics · doi:10.1023/a:1026654312961 · Cited by 6,704
Gauge Theory Correlators from Non-Critical String Theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · CERN Document Server (European Organization for Nuclear Research) · Cited by 6,627
Ryu, S., & Takayanagi, T. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.181602 · Cited by 4,302
Adams, J., Aggarwal, M. M., Ahammed, Z., Amonett, J., Anderson, B. D., Arkhipkin, D., Averichev, G. S., Badyal, S. K., Bai, Y., Balewski, J., et al. (2005) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2005.03.085 · Cited by 3,379
Entanglement Entropy and Quantum Field Theory
Calabrese, P., & Cardy, J. (2004) · arXiv · doi:10.48550/arxiv.hep-th/0405152 · Cited by 3,275
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Black holes and the butterfly effect
Shenker, S. H., & Stanford, D. (2014) · Journal of High Energy Physics · doi:10.1007/jhep03(2014)067 · Cited by 1,533
Time evolution of entanglement entropy from black hole interiors
Hartman, T., & Maldacena, J. (2013) · Journal of High Energy Physics · doi:10.1007/jhep05(2013)014 · Cited by 761
Entanglement Tsunami: Universal Scaling in Holographic Thermalization
Liu, H., & Suh, S. J. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.011601 · Cited by 369
Strongly coupled quark-gluon plasma in heavy ion collisions
Shuryak, E. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.035001 · Cited by 270
Spread of entanglement in a Sachdev-Ye-Kitaev chain
Gu, Y., Lucas, A., & Qi, X.-L. (2017) · Journal of High Energy Physics · doi:10.1007/jhep09(2017)120 · Cited by 109
Metadata
- Authors
- Balasubramanian, V., Bernamonti, A., de Boer, J., Copland, N., Craps, B., Keski-Vakkuri, E., Müller, B., Schäfer, A., Shigemori, M., & Staessens, W.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2011-07-25
- Volume
- 84
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W3037795170
- Cited by
- 281
- References
- 87
- FWCI
- 11.70
- Type
- journal article
- Language
- en
- Open access
- green
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- Balasubramanian, V., Bernamonti, A., de Boer, J., Copland, N., Craps, B., Keski-Vakkuri, E., Müller, B., Schäfer, A., Shigemori, M., & Staessens, W. (2011). Holographic thermalization. Physical Review D. https://doi.org/10.1103/physrevd.84.026010
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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