Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-12-26
Phys.Rev. D67 (2003) 104026
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, latex, no figures
Scientific paper
10.1103/PhysRevD.67.104026
We study the process of relaxation back to thermal equilibrium in $(1+1)$-dimensional conformal field theory at finite temperature. When the size of the system is much larger than the inverse temperature, perturbations decay exponentially with time. On the other hand, when the inverse temperature is large, the relaxation is oscillatory with characteristic period set by the size of the system. We then analyse the intermediate regime in two specific models, namely free fermions, and a strongly coupled large $\tt k$ conformal field theory which is dual to string theory on $(2+1)$-dimensional anti-de Sitter spacetime. In the latter case, there is a sharp transition between the two regimes in the ${\tt k}=\infty$ limit, which is a manifestation of the gravitational Hawking-Page phase transition. In particular, we establish a direct connection between quasinormal and normal modes of the gravity system, and the decaying and oscillating behaviour of the conformal field theory.
Birmingham Danny
Sachs Ivo
Solodukhin Sergey N.
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