Abstract
In this paper we study the thermalization of a spatially homogeneous system in a strongly coupled CFT. The non-equilibrium initial state is created by switching on a relevant perturbation in the CFT vacuum during Δt ≳ t ≳ − Δt. Via AdS/CFT, the thermalization process corresponds to the gravitational collapse of a tachyonic scalar field (m 2 = −3) in the Poincare patch of AdS 5. In the limit \( \varDelta t<\frac{0.02 }{T} \), the thermalization time t T is found to be quantitatively the same as that of a non-equilibrium state created by a marginal perturbation discussed in ref. [5]. In the case \( \varDelta t\gtrsim \frac{1}{T} \) we also obtain double- collapse solutions but with a non-equilibrium intermediate state at t = 0. In all the cases our results show that the system thermalizes in a typical time \( {t_T}\simeq \frac{O(1) }{T} \). Besides, a conserved energy-moment current in the bulk is found, which helps understand the qualitative difference of the collapse process in the Poincare patch from that in global AdS [10, 11].
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Wu, B. On holographic thermalization and gravitational collapse of tachyonic scalar fields. J. High Energ. Phys. 2013, 44 (2013). https://doi.org/10.1007/JHEP04(2013)044
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DOI: https://doi.org/10.1007/JHEP04(2013)044