Quantum black holes and thermalization in relativistic heavy ion collisions

Abstract

A new thermalization scenario for heavy ion collisions is discussed. It is based on the Hawking--Unruh effect: an observer moving with an acceleration $a$ experiences the influence of a thermal bath with an effective temperature $T=a/2\pi$, similar to the one present in the vicinity of a black hole horizon. In the case of heavy ion collisions, the acceleration is caused by a pulse of chromo--electric field $E\sim Q_s^2/g$ ($Q_s$ is the saturation scale, and $g$ is the strong coupling), the typical acceleration is $a\sim Q_s$, and the heat bath temperature is $T\simeq Q_s/2\pi \sim 200$ MeV. In nuclear collisions at sufficiently high energies the effect can induce a rapid thermalization over the time period of $\tau \sim \pi /Q_s$ accompanied by phase transitions. A specific example of chiral symmetry restoration induced by the chromo--electric field is considered; it is mathematically analogous to the phase transition occurring in the vicinity of a black hole.

10 pages, 2 figures, based on invited talks given at the "Quark Matter 2005" Conference, Budapest, Hungary, 4-9 August 2005, and Workshop on "Quark-Gluon Plasma Thermalization", Vienna, Austria, 10-12 August 2005

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