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Viscous plasma evolution from gravity using anti-de sitter/conformal-field-theory correspondence
1Institute of Physics, Jagellonian University, Reymonta 4, 30-059 Krakow, Poland. ufrjanik@if.uj.edu.pl
Physical Review Letters
|March 16, 2007
Summary
We analyzed the dual geometry of an expanding plasma. Nonsingularity predicts hydrodynamic expansion, matching viscosity from static cases.
Area of Science:
- High-energy physics
- Condensed matter theory
- String theory
Background:
- The anti-de Sitter/conformal-field-theory (AdS/CFT) correspondence provides a powerful tool for studying strongly coupled quantum systems.
- Understanding the dynamics of expanding plasmas is crucial for various physical phenomena.
Purpose of the Study:
- To investigate the dual geometry of an expanding boost-invariant plasma within the AdS/CFT framework.
- To determine if geometric constraints predict the plasma's hydrodynamic behavior.
Main Methods:
- Analysis of the anti-de Sitter/conformal-field-theory dual geometry.
- Applying the requirement of nonsingularity for leading and subasymptotic times.
Main Results:
- The nonsingularity condition of the dual geometry naturally predicts hydrodynamic expansion for the plasma.
- The predicted viscosity coefficient precisely matches the value obtained in previous studies of static plasmas (Policastro, Son, and Starinets).
Conclusions:
- Geometric properties of the dual spacetime dictate the emergent hydrodynamic behavior of the plasma.
- This result reinforces the validity of the AdS/CFT correspondence for describing dynamic, strongly coupled systems.
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