Abstract
Using the holographic mapping to a gravity dual, we calculate 2-point functions, Wilson loops, and entanglement entropy in strongly coupled field theories in d=2, 3, and 4 to probe the scale dependence of thermalization following a sudden injection of energy. For homogeneous initial conditions, the entanglement entropy thermalizes slowest and sets a time scale for equilibration that saturates a causality bound. The growth rate of entanglement entropy density is nearly volume-independent for small volumes but slows for larger volumes. In this setting, the UV thermalizes first.
| Original language | English |
|---|---|
| Article number | 191601 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 106 |
| Issue number | 19 |
| Publication status | Published - 9 May 2011 |
Keywords
- entropy : entanglement
- surface : minimal
- field theory : anti-de Sitter
- saddle-point approximation
- AdS/CFT correspondence
- scale dependence
- strong coupling
- Wilson loop
- causality
- quenching
- nonlocal
- duality
- field theory : conformal
- gravitation : duality
- heavy ion : scattering
- screening : length
- invariance : gauge