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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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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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