Abstract
The problem of holographic thermalization in the framework of Einstein gravity coupled to Born-Infeld nonlinear electrodynamics is investigated. We use equal time two-point correlation functions and expectation values of Wilson loop operators in the boundary quantum field theory as probes of thermalization, which have dual gravity descriptions in terms of geodesic lengths and minimal area surfaces in the bulk spacetime. The full range of values of the chemical potential per temperature ratio μ/T on the boundary is explored. The numerical results show that the effect of the charge on the thermalization time is similar to the one obtained with Maxwell electrodynamics, namely the larger the charge the later thermalization occurs. The Born-Infeld parameter, on the other hand, has the opposite effect: the more nonlinear the theory is, the sooner it thermalizes. We also study the thermalization velocity and how the parameters affect the phase transition point separating the thermalization process into an accelerating phase and a decelerating phase.
Highlights
JHEP02(2015)103 hydrodynamics [8, 9]) of the QGP is well known, the far from equilibrium process of formation of QGP after a heavy ion collision, often referred to as thermalization, is not well understood
The problem of holographic thermalization in the framework of Einstein gravity coupled to Born-Infeld nonlinear electrodynamics is investigated
It consists in the collapse of a thin shell of matter described by an AdS-Vaidya metric that interpolates between pure AdS space at early times and Schwarzschild-AdS black hole at late times
Summary
The Hawking temperature of a black hole in the context of AdS/CFT can be viewed as the equilibrium temperature of the dual field theory living on the boundary. It is obtained as usual by continuing the black hole metric to its Euclidean version via t = −itE and demanding the absence of conical singularities at the horizon. According to the AdS/CFT dictionary, the asymptotic value of the time component At(r) of the gauge field at the AdS boundary r → ∞ (namely, the constant Φ in equation (2.5)) corresponds to the chemical potential μ in the dual quantum field theory, μ ∼ limr→∞ At(r).
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