On holographic thermalization and gravitational collapse of tachyonic scalar fields
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 Δ t ≳ t ≳ - Δ t. 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<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≳ 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}∼eq 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].
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- April 2013
- DOI:
- 10.1007/JHEP04(2013)044
- arXiv:
- arXiv:1301.3796
- Bibcode:
- 2013JHEP...04..044W
- Keywords:
-
- AdS-CFT Correspondence;
- Holography and quark-gluon plasmas;
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Phenomenology;
- Nuclear Theory
- E-Print:
- 24 pages, 13 figures, minor modifications, references added, final version to appear in JHEP