Hydrodynamic Flow of the Quark-Gluon Plasma and Gauge/Gravity Correspondence

Abstract

The contribution presents a summary of the Gauge/Gravity approach to the study of hydrodynamic flow of the quark-gluon plasma formed in heavy-ion collisions. Considering the ideal case of a supersymmetric Yang-Mills theory for which the AdS/CFT correspondence gives a precise form of the Gauge/Gravity duality, the properties of the strongly coupled expanding plasma are put in one-to-one correspondence with the metric of a 5-dimensional black hole moving away in the 5th dimension and its deformations consistent with the relevant Einstein equations. Several recently studied aspects of this framework are recalled and put in perspective. This paper is a written version of the four lectures given by the authors on that subject.

Lecture Notes; XLVIII Cracow School of Theoretical Physics: Aspects of Duality, Zakopane, Poland, June 13-22, 2008; ver2: typos corrected

References in corpus (11)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Nonlinear Fluid Dynamics from Gravity
• Viscous hydrodynamics relaxation time from AdS/CFT
• Early Time Dynamics in Heavy Ion Collisions from AdS/CFT Correspondence
• On the supergravity description of boost invariant conformal plasma at strong coupling
• Unified description of Bjorken and Landau 1+1 hydrodynamics
• Consistent holographic description of boost-invariant plasma
• Entropy flow of a perfect fluid in (1+1) hydrodynamics
• Gravity dual of conformal matter collisions in 1+1 dimensions
• Flavors in an expanding plasma
• Casimir energy in the gauge/gravity description of Bjorken flow?